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Generate pseudo-random draws from specified distributions using Halton draws

Usage

halton_dists(dist, mean, sdev, hdraw = NULL, ndraws = 500)

Arguments

dist

The distribution type to use. The distribution options include normal ("n"), lognormal ("ln"), triangular ("t"), uniform ("u"), and gamma ("g").

mean

The mean value for the random draws.

sdev

The standard deviation value for the random draws.

hdraw

An optional vector of Halton draws to convert to the specified distribution. If not provided, the function will generate Halton draws.

ndraws

The number of random draws to generate. This is only used if `hdraw` is not provided.

Value

A vector of psudo-random draws from the specified distribution, based on Halton draws.

Details

This function is used to convert Halton draws to the specified distribution. The function can be used to generate random draws for use in random parameter models, generating Halton-based pseudo-random draws for specified distributions, etc.

The distributions generated all use the `mean` ($$\mu$$) and `sdev` ($$\sigma$$) parameters to generate the random draws. The density functions for the distributions are as follows: The Normal distribution is: \(f(x) = \frac{1}{\sqrt{2\pi\sigma^2}} \exp\left(-\frac{(x - \mu)^2}{2\sigma^2}\right)\)

The Lognormal distribution is: \(f(x) = \frac{1}{x\sigma\sqrt{2\pi}} \exp\left(-\frac{(\log(x) - \mu)^2}{2\sigma^2}\right)\)

The Triangular distribution is (note that this is a symmetrical triangular distribution where $$\mu$$ is the median and $$\sigma$$ is the half-width): \(f(x) = \begin{cases} \frac{(x - \mu + \sigma)}{\sigma^2}, & \text{for } \mu - \sigma \leq x \leq \mu \\ \frac{(\mu + \sigma - x)}{\sigma^2}, & \text{for } \mu < x \leq \mu + \sigma \\0, & \text{otherwise}\end{cases}\)

The Uniform distribution is (note that \(\mu\) is the midpoint and \(\sigma\) is the half-width): \(f(x) = \frac{1}{(\beta_{\mu}+\beta_{\sigma}) - (\beta_{\mu}-\beta_{\sigma})}=\frac{1}{2\beta_{\sigma}}\)

The Gamma distribution is based on $$\mu = \frac{\alpha}{\beta}$$ and $$\sigma^2 = \frac{\alpha}{\beta^2}$$: \(f(x) = \frac{\left(\frac{\mu}{\sigma^2}\right)^ {\frac{\mu^2}{\sigma^2}}}{\Gamma\left(\frac{\mu^2}{\sigma^2}\right)} x^{\frac{\mu^2}{\sigma^2} - 1} e^{-\frac{\mu}{\sigma^2} x}\)

Examples

# Generate 500 random draws from a normal distribution 
halton_dists(dist="n", mean=3, sdev=2, ndraws=500)
#>                [,1]         [,2]
#>   [1,]  3.000000000  2.138545401
#>   [2,]  1.651020500  3.861454599
#>   [3,]  4.348979500  0.558719302
#>   [4,]  0.699301239  2.720579402
#>   [5,]  3.637278728  4.529419348
#>   [6,]  2.362721272  1.470580652
#>   [7,]  5.300698761  3.279420598
#>   [8,] -0.068241089  5.441280698
#>   [9,]  3.314621369 -0.572311123
#>  [10,]  2.022447178  2.338254857
#>  [11,]  4.774293118  4.070165630
#>  [12,]  1.225706882  0.911182410
#>  [13,]  3.977552822  2.907128550
#>  [14,]  2.685378631  4.791559638
#>  [15,]  6.068241089  1.708738501
#>  [16,] -0.725463735  3.468438388
#>  [17,]  3.156824825  5.892207186
#>  [18,]  1.841735675  0.107792814
#>  [19,]  4.552843522  2.531561612
#>  [20,]  0.980019662  4.291261499
#>  [21,]  3.804500131  1.208440362
#>  [22,]  2.525595781  3.092871450
#>  [23,]  5.636021795  5.088817590
#>  [24,]  0.363978205  1.929834370
#>  [25,]  3.474404219  3.661745143
#>  [26,]  2.195499869  6.572311123
#>  [27,]  5.019980338 -1.492395071
#>  [28,]  1.447156478  2.205974408
#>  [29,]  4.158264325  3.929877531
#>  [30,]  2.843175175  0.684242793
#>  [31,]  6.725463735  2.782952512
#>  [32,] -1.307749388  4.613699382
#>  [33,]  3.078352171  1.552228250
#>  [34,]  1.747801975  3.342066729
#>  [35,]  4.449028767  5.577236335
#>  [36,]  0.844968866 -0.301736971
#>  [37,]  3.720259784  2.403289654
#>  [38,]  2.444619120  4.142290361
#>  [39,]  5.459717518  1.015139359
#>  [40,]  0.164405724  2.969052737
#>  [41,]  3.394198169  4.886007392
#>  [42,]  2.109806950  1.784067555
#>  [43,]  4.893563513  3.532300602
#>  [44,]  1.338978244  6.080850011
#>  [45,]  4.066819412  0.273727069
#>  [46,]  2.764460251  2.594949633
#>  [47,]  6.351879446  4.368468809
#>  [48,] -0.351879446  1.299052427
#>  [49,]  3.235539749  3.154884817
#>  [50,]  1.933180588  5.198748131
#>  [51,]  4.661021756  2.000593236
#>  [52,]  1.106436487  3.727487467
#>  [53,]  3.890193050  6.930544838
#>  [54,]  2.605801831 -0.930544838
#>  [55,]  5.835594276  2.272512533
#>  [56,]  0.540282482  3.999406764
#>  [57,]  3.555380880  0.801251869
#>  [58,]  2.279740216  2.845115183
#>  [59,]  5.155031134  4.700947573
#>  [60,]  1.550971233  1.631531191
#>  [61,]  4.252198025  3.405050367
#>  [62,]  2.921647829  5.726272931
#>  [63,]  7.307749388 -0.080850011
#>  [64,] -1.835118032  2.467699398
#>  [65,]  3.039168570  4.215932445
#>  [66,]  1.699791859  1.113992608
#>  [67,]  4.398566605  3.030947263
#>  [68,]  0.773611446  4.984860641
#>  [69,]  3.678623213  1.857709639
#>  [70,]  2.403795174  3.596710346
#>  [71,]  5.378328700  6.301736971
#>  [72,]  0.053064844  0.422763665
#>  [73,]  3.354339642  2.657933271
#>  [74,]  2.066349754  4.447771750
#>  [75,]  4.833113335  1.386300618
#>  [76,]  1.283031052  3.217047488
#>  [77,]  4.021931613  5.315757207
#>  [78,]  2.724973196  2.070122469
#>  [79,]  6.202017330  3.794025592
#>  [80,] -0.523340821  7.492395071
#>  [81,]  3.196144305 -2.284933659
#>  [82,]  1.887748813  2.161126907
#>  [83,]  4.606345131  3.884146464
#>  [84,]  1.044204912  0.601612798
#>  [85,]  3.847152168  2.741397650
#>  [86,]  2.565786106  4.557204709
#>  [87,]  5.732407633  1.498073912
#>  [88,]  0.454602718  3.300269165
#>  [89,]  3.514787052  5.485327488
#>  [90,]  2.237789090 -0.474936803
#>  [91,]  5.086316527  2.360007553
#>  [92,]  1.499569249  4.094048302
#>  [93,]  4.204898906  0.946451380
#>  [94,]  2.882434128  2.927776907
#>  [95,]  6.974855772  4.822590161
#>  [96,] -0.974855772  1.734046945
#>  [97,]  3.117565872  3.489669562
#>  [98,]  1.795101094  5.952195182
#>  [99,]  4.500430751  0.165286157
#> [100,]  0.913683473  2.552740127
#> [101,]  3.762210910  4.316778424
#> [102,]  2.485212948  1.239045496
#> [103,]  5.545397282  3.113529710
#> [104,]  0.267592367  5.124748391
#> [105,]  3.434213894  1.953565404
#> [106,]  2.152847832  3.683576406
#> [107,]  4.955795088  6.678973549
#> [108,]  1.393654869 -1.266071084
#> [109,]  4.112251187  2.228247923
#> [110,]  2.803855695  3.952925172
#> [111,]  6.523340821  0.724112796
#> [112,] -0.202017330  2.803693740
#> [113,]  3.275026804  4.642434145
#> [114,]  1.978068387  1.578910062
#> [115,]  4.716968948  3.363020526
#> [116,]  1.166886665  5.625302975
#> [117,]  3.933650246 -0.223688055
#> [118,]  2.645660358  2.424825097
#> [119,]  5.946935156  4.166661155
#> [120,]  0.621671300  1.048619991
#> [121,]  3.596204826  2.989684612
#> [122,]  2.321376787  4.918437488
#> [123,]  5.226388554  1.808793572
#> [124,]  1.601433395  3.553705945
#> [125,]  4.300208141  6.150260894
#> [126,]  2.960831430  0.325064233
#> [127,]  7.835118032  2.615985753
#> [128,] -2.320134937  4.394658689
#> [129,]  3.019583346  1.328487989
#> [130,]  1.675504635  3.175586124
#> [131,]  4.373667497  5.236901707
#> [132,]  0.736846883  2.023899937
#> [133,]  3.657915825  3.749573874
#> [134,]  2.383290737  7.083985240
#> [135,]  5.339073220 -0.797259580
#> [136,] -0.006205886  2.294510575
#> [137,]  3.334464017  4.022849986
#> [138,]  2.044456022  0.838621610
#> [139,]  4.803508228  2.865799909
#> [140,]  1.254548211  4.730756278
#> [141,]  3.999680690  1.657488483
#> [142,]  2.705190357  3.426131394
#> [143,]  6.133377172  5.779472034
#> [144,] -0.619784477 -0.014963309
#> [145,]  3.176476039  2.489043938
#> [146,]  1.864817353  4.240845726
#> [147,]  4.579453040  1.145934248
#> [148,]  1.012368184  3.051582432
#> [149,]  3.825779203  5.018906958
#> [150,]  2.545713875  1.881911987
#> [151,]  5.683435682  3.618315198
#> [152,]  0.409955187  6.385164843
#> [153,]  3.494570431  0.469386104
#> [154,]  2.216688258  2.678849586
#> [155,]  5.052866126  4.474713762
#> [156,]  1.473493913  1.414706075
#> [157,]  4.181501316  3.237812086
#> [158,]  2.862811259  5.356569389
#> [159,]  6.842701549  2.093047277
#> [160,] -1.127055797  3.816398028
#> [161,]  3.097954314  7.797065459
#> [162,]  1.771537422 -1.797065459
#> [163,]  4.474608001  2.183601972
#> [164,]  0.879639041  3.906952723
#> [165,]  3.741194582  0.643430611
#> [166,]  2.464943588  2.762187914
#> [167,]  5.501983431  4.585293925
#> [168,]  0.216925024  1.525286238
#> [169,]  3.414185305  3.321150414
#> [170,]  2.131377678  5.530613896
#> [171,]  4.924446391 -0.385164843
#> [172,]  1.366469169  2.381684802
#> [173,]  4.089465026  4.118088013
#> [174,]  2.784168441  0.981093042
#> [175,]  6.434456235  2.948417568
#> [176,] -0.274650766  4.854065752
#> [177,]  3.255270838  1.759154274
#> [178,]  1.955690245  3.510956062
#> [179,]  4.688830155  6.014963309
#> [180,]  1.136874340  0.220527966
#> [181,]  3.911867831  2.573868606
#> [182,]  2.625749676  4.342511517
#> [183,]  5.890145160  1.269243722
#> [184,]  0.581477537  3.134200091
#> [185,]  3.575762866  5.161378390
#> [186,]  2.300596393  1.977150014
#> [187,]  5.190361306  3.705489425
#> [188,]  1.576315608  6.797259580
#> [189,]  4.276111162 -1.083985240
#> [190,]  2.941242449  2.250426126
#> [191,]  7.532453618  3.976100063
#> [192,] -1.532453618  0.763098293
#> [193,]  3.058757551  2.824413876
#> [194,]  1.723888838  4.671512011
#> [195,]  4.423684392  1.605341311
#> [196,]  0.809638694  3.384014247
#> [197,]  3.699403607  5.674935767
#> [198,]  2.424237134 -0.150260894
#> [199,]  5.418522463  2.446294055
#> [200,]  0.109854840  4.191206428
#> [201,]  3.374250324  1.081562512
#> [202,]  2.088132169  3.010315388
#> [203,]  4.863125660  4.951380009
#> [204,]  1.311169845  1.833338845
#> [205,]  4.044309755  3.575174903
#> [206,]  2.744729162  6.223688055
#> [207,]  6.274650766  0.374697025
#> [208,] -0.434456235  2.636979474
#> [209,]  3.215831559  4.421089938
#> [210,]  1.910534974  1.357565855
#> [211,]  4.633530831  3.196306260
#> [212,]  1.075553609  5.275887204
#> [213,]  3.868622322  2.047074828
#> [214,]  2.585814695  3.771752077
#> [215,]  5.783074976  7.266071084
#> [216,]  0.498016569 -0.678973549
#> [217,]  3.535056412  2.316423594
#> [218,]  2.258805418  4.046434596
#> [219,]  5.120360959  0.875251609
#> [220,]  1.525391999  2.886470290
#> [221,]  4.228462578  4.760954504
#> [222,]  2.902045686  1.683221576
#> [223,]  7.127055797  3.447259873
#> [224,] -0.842701549  5.834713843
#> [225,]  3.137188741  0.047804818
#> [226,]  1.818498684  2.510330438
#> [227,]  4.526506087  4.265953055
#> [228,]  0.947133874  1.177409839
#> [229,]  3.783311742  3.072223093
#> [230,]  2.505429569  5.053548620
#> [231,]  5.590044813  1.905951698
#> [232,]  0.316564318  3.639992447
#> [233,]  3.454286125  6.474936803
#> [234,]  2.174220797  0.514672512
#> [235,]  4.987631816  2.699730835
#> [236,]  1.420546960  4.501926088
#> [237,]  4.135182647  1.442795291
#> [238,]  2.823523961  3.258602350
#> [239,]  6.619784477  5.398387202
#> [240,] -0.133377172  2.115853536
#> [241,]  3.294809643  3.838873093
#> [242,]  2.000319310  8.284933659
#> [243,]  4.745451789 -2.990214358
#> [244,]  1.196491772  2.146084636
#> [245,]  3.955543978  3.869006095
#> [246,]  2.665535983  0.573141278
#> [247,]  6.006205886  2.727522071
#> [248,]  0.660926780  4.538648111
#> [249,]  3.616709263  1.479776965
#> [250,]  2.342084175  3.286366635
#> [251,]  5.263153117  5.455830746
#> [252,]  1.626332503 -0.538914987
#> [253,]  4.324495365  2.345514330
#> [254,]  2.980416654  4.078109410
#> [255,]  8.320134937  0.923010510
#> [256,] -2.771269825  2.914012327
#> [257,]  3.009791556  4.801854934
#> [258,]  1.663287609  1.717197444
#> [259,]  4.361297570  3.475509464
#> [260,]  0.718174581  5.911912864
#> [261,]  3.647588658  0.127221655
#> [262,]  2.373014295  2.538626838
#> [263,]  5.319779237  4.299743603
#> [264,] -0.036858282  1.218688403
#> [265,]  3.324538700  3.099756327
#> [266,]  2.033466231  5.100719203
#> [267,]  4.788852959  1.937761302
#> [268,]  1.240173292  3.669013345
#> [269,]  3.988601629  6.606734087
#> [270,]  2.695288231 -1.410548882
#> [271,]  6.100398082  2.213409724
#> [272,] -0.671343074  3.937546215
#> [273,]  3.166648421  0.697634520
#> [274,]  1.853295606  2.789868739
#> [275,]  4.566113627  4.623240381
#> [276,]  0.996259447  1.561150613
#> [277,]  3.815128133  3.349047044
#> [278,]  2.535660701  5.593092365
#> [279,]  5.659541900 -0.275164040
#> [280,]  0.387139298  2.410475702
#> [281,]  3.484481168  4.150394950
#> [282,]  2.206105202  1.026361021
#> [283,]  5.036354411  2.975930286
#> [284,]  1.460358570  4.896762001
#> [285,]  4.169863080  1.792330041
#> [286,]  2.852994988  3.539428823
#> [287,]  6.782458476  6.103573094
#> [288,] -1.213108176  0.291038121
#> [289,]  3.088152184  2.601966538
#> [290,]  1.759691535  4.377172500
#> [291,]  4.461788495  1.308904960
#> [292,]  0.862384249  3.161783300
#> [293,]  3.730717175  5.211376608
#> [294,]  2.454788392  2.008377069
#> [295,]  5.480711988  3.734839616
#> [296,]  0.190907504  6.979123525
#> [297,]  3.404186691 -0.884180093
#> [298,]  2.120605101  2.279854865
#> [299,]  4.908948056  4.007205766
#> [300,]  1.352762610  0.813793287
#> [301,]  4.078124941  2.852011823
#> [302,]  2.774317085  4.710841558
#> [303,]  6.392445010  1.640209043
#> [304,] -0.312647731  3.412072261
#> [305,]  3.245402308  5.743790676
#> [306,]  1.944452130 -0.058517798
#> [307,]  4.674885480  2.474820863
#> [308,]  1.121709794  4.224215736
#> [309,]  3.901017213  1.124692957
#> [310,]  2.615780531  3.037825178
#> [311,]  5.862603518  4.996145140
#> [312,]  0.561009354  1.865795513
#> [313,]  3.565564530  3.603904105
#> [314,]  2.290177953  6.328905882
#> [315,]  5.172611473  0.438459340
#> [316,]  1.563672252  2.664909421
#> [317,]  4.264132003  4.456723020
#> [318,]  2.931445961  1.395805033
#> [319,]  7.413150433  3.223966311
#> [320,] -1.670466080  5.329253574
#> [321,]  3.048962474  2.077777506
#> [322,]  1.711863723  3.801471898
#> [323,]  4.411097677  7.582537536
#> [324,]  0.791714641 -2.087055314
#> [325,]  3.689004112  2.168630231
#> [326,]  2.414023806  3.891735637
#> [327,]  5.398304502  0.615667985
#> [328,]  0.081753950  2.748330732
#> [329,]  3.364290470  4.566533421
#> [330,]  2.077254643  1.507175367
#> [331,]  4.848067478  3.307225833
#> [332,]  1.297142583  5.500280683
#> [333,]  4.033104517 -0.444237480
#> [334,]  2.734854413  2.367241534
#> [335,]  6.237800287  4.102043818
#> [336,] -0.478039943  0.958066673
#> [337,]  3.205985437  2.934657874
#> [338,]  1.899159755  4.833031565
#> [339,]  4.619900568  1.742438045
#> [340,]  1.059938842  3.496758781
#> [341,]  3.857874887  5.972793483
#> [342,]  2.575805718  0.183939312
#> [343,]  5.757520086  2.559788384
#> [344,]  0.476458277  4.325331713
#> [345,]  3.524914993  1.249155903
#> [346,]  2.248307630  3.120418381
#> [347,]  5.103262563  5.136878769
#> [348,]  1.512511621  1.961442958
#> [349,]  4.216659631  3.690871502
#> [350,]  2.892241202  6.716970485
#> [351,]  7.048027247 -1.201445868
#> [352,] -0.906647415  2.235651072
#> [353,]  3.127375774  3.960635775
#> [354,]  1.806820301  0.737203545
#> [355,]  4.513436262  2.810602684
#> [356,]  0.930481038  4.652087940
#> [357,]  3.772750574  1.587747856
#> [358,]  2.495327704  3.370013876
#> [359,]  5.567561105  5.641666758
#> [360,]  0.292281272 -0.198731400
#> [361,]  3.444244416  2.431988661
#> [362,]  2.163546255  4.174823222
#> [363,]  4.971651001  1.059659316
#> [364,]  1.407136913  2.996561551
#> [365,]  4.123698451  4.929360161
#> [366,]  2.813692080  1.816995098
#> [367,]  6.570524981  3.560855055
#> [368,] -0.167230952  6.174263103
#> [369,]  3.284914739  0.341790680
#> [370,]  1.989209487  2.622988248
#> [371,]  4.731166480  4.403441841
#> [372,]  1.181739020  1.338219617
#> [373,]  3.944582963  3.182490632
#> [374,]  2.655602422  5.249801938
#> [375,]  5.976243792  2.031639318
#> [376,]  0.641412620  3.756956237
#> [377,]  3.606449076  7.140930881
#> [378,]  2.331739435 -0.756358424
#> [379,]  5.244676023  2.301824198
#> [380,]  1.613909803  4.030695567
#> [381,]  4.312327562  0.850911732
#> [382,]  2.970624394  2.872691520
#> [383,]  8.041004434  4.740778236
#> [384,] -2.041004434  1.666090688
#> [385,]  3.029375606  3.433168821
#> [386,]  1.687672438  5.797649321
#> [387,]  4.386090197  0.006287968
#> [388,]  0.755323977  2.496145752
#> [389,]  3.668260565  4.249192932
#> [390,]  2.393550924  1.156476830
#> [391,]  5.358587380  3.058461933
#> [392,]  0.023756208  5.030386501
#> [393,]  3.344397578  1.889943014
#> [394,]  2.055417037  3.625532754
#> [395,]  4.818260980  6.414328851
#> [396,]  1.268833520  0.484625036
#> [397,]  4.010790513  2.685813780
#> [398,]  2.715085261  4.483753989
#> [399,]  6.167230952  1.424103660
#> [400,] -0.570524981  3.244739208
#> [401,]  3.186307920  5.370393608
#> [402,]  1.876301549  2.100662328
#> [403,]  4.592863087  3.823878127
#> [404,]  1.028348999  7.929158571
#> [405,]  3.836453745 -1.683079160
#> [406,]  2.555755584  2.191070669
#> [407,]  5.707718728  3.914580944
#> [408,]  0.432438895  0.657143148
#> [409,]  3.504672296  2.769112185
#> [410,]  2.227249426  4.594726642
#> [411,]  5.069518962  1.534296434
#> [412,]  1.486563738  3.328118504
#> [413,]  4.193179699  5.546001179
#> [414,]  2.872624226 -0.356703370
#> [415,]  6.906647415  2.388894315
#> [416,] -1.048027247  4.126137109
#> [417,]  3.107758798  0.992506454
#> [418,]  1.783340369  2.955296460
#> [419,]  4.487488379  4.864660107
#> [420,]  0.896737437  1.767479921
#> [421,]  3.751692370  3.518064325
#> [422,]  2.475085007  6.036560546
#> [423,]  5.523541723  0.238478515
#> [424,]  0.242479914  2.580900761
#> [425,]  3.424194282  4.351138630
#> [426,]  2.142125113  1.279222409
#> [427,]  4.940061158  3.141093296
#> [428,]  1.380099432  5.173750677
#> [429,]  4.100840245  1.984979887
#> [430,]  2.794014563  3.712812495
#> [431,]  6.478039943  6.839813415
#> [432,] -0.237800287 -1.030169924
#> [433,]  3.265145587  2.257798290
#> [434,]  1.966895483  3.983854089
#> [435,]  4.702857417  0.775906126
#> [436,]  1.151932522  2.831316293
#> [437,]  3.922745357  4.681283376
#> [438,]  2.635709530  1.614097648
#> [439,]  5.918246050  3.391021453
#> [440,]  0.601695498  5.691851431
#> [441,]  3.585976194 -0.126704017
#> [442,]  2.310995888  2.453436098
#> [443,]  5.208285359  4.199428034
#> [444,]  1.588902323  1.092428263
#> [445,]  4.288136277  3.017192450
#> [446,]  2.951037526  4.962479109
#> [447,]  7.670466080  1.841481527
#> [448,] -1.413150433  3.582345854
#> [449,]  3.068554039  6.249157008
#> [450,]  1.735867997  0.390886924
#> [451,]  4.436327748  2.643968388
#> [452,]  0.827388527  4.429955568
#> [453,]  3.709822047  1.367181535
#> [454,]  2.434435470  3.203217547
#> [455,]  5.438990646  5.289076190
#> [456,]  0.137396482  2.054771293
#> [457,]  3.384219469  3.779165815
#> [458,]  2.098982787  7.335483882
#> [459,]  4.878290206 -0.642259899
#> [460,]  1.325114520  2.323709606
#> [461,]  4.055547870  4.054328417
#> [462,]  2.754597692  0.887304324
#> [463,]  6.312647731  2.893357614
#> [464,] -0.392445010  4.771110114
#> [465,]  3.225682915  1.691750850
#> [466,]  1.921875059  3.454313690
#> [467,]  4.647237390  5.853616888
#> [468,]  1.091051944  0.068094647
#> [469,]  3.879394899  2.517413511
#> [470,]  2.595813309  4.274366500
#> [471,]  5.809092496  1.187801801
#> [472,]  0.519288012  3.079104914
#> [473,]  3.545211608  5.065233592
#> [474,]  2.269282825  1.913929766
#> [475,]  5.137615751  3.647234810
#> [476,]  1.538211505  6.506477402
#> [477,]  4.240308465  0.529488055
#> [478,]  2.911847816  2.706683871
#> [479,]  7.213108176  4.511058753
#> [480,] -0.782458476  1.452090247
#> [481,]  3.147005012  3.265538542
#> [482,]  1.830136920  5.412561847
#> [483,]  4.539641430  2.123430000
#> [484,]  0.963645589  3.846388244
#> [485,]  3.793894798  8.553922922
#> [486,]  2.515518832 -2.553922922
#> [487,]  5.612860702  2.153611756
#> [488,]  0.340458100  3.876570000
#> [489,]  3.464339299  0.587438153
#> [490,]  2.184871867  2.734461458
#> [491,]  5.003740553  4.547909753
#> [492,]  1.433886373  1.488941247
#> [493,]  4.146704394  3.293316129
#> [494,]  2.833351579  5.470511945
#> [495,]  6.671343074 -0.506477402
#> [496,] -0.100398082  2.352765190
#> [497,]  3.304711769  4.086070234
#> [498,]  2.011398371  0.934766408
#> [499,]  4.759826708  2.920895086
#> [500,]  1.211147041  4.812198199

# Generate 500 random draws from a lognormal distribution 
halton_dists(dist="ln", mean=2, sdev=1.5, ndraws=500)
#>                [,1]         [,2]
#>   [1,]   7.38905610   3.87253391
#>   [2,]   2.68657024  14.09881779
#>   [3,]  20.32262150   1.18416689
#>   [4,]   1.31584090   5.99205576
#>   [5,]  11.91691770  23.26766226
#>   [6,]   4.58156643   2.34652495
#>   [7,]  41.49297229   9.11175600
#>   [8,]   0.73994397  46.10680363
#>   [9,]   9.35551517   0.50700554
#>  [10,]   3.54960164   4.49826219
#>  [11,]  27.95846004  16.48785786
#>  [12,]   1.95283109   1.54247275
#>  [13,]  15.38148659   6.89189727
#>  [14,]   5.83593197  28.32287348
#>  [15,]  73.78687104   2.80542173
#>  [16,]   0.45198883  10.49951212
#>  [17,]   8.31132148  64.66081583
#>  [18,]   3.09968892   0.84437769
#>  [19,]  23.68004337   5.20006543
#>  [20,]   1.62419896  19.46165509
#>  [21,]  13.50925624   1.92770518
#>  [22,]   5.17685038   7.92207833
#>  [23,]  53.35759588  35.39650875
#>  [24,]   1.02324981   3.31141562
#>  [25,]  10.54659611  12.13760953
#>  [26,]   4.04153634 107.68748144
#>  [27,]  33.61543222   0.25428584
#>  [28,]   2.30566090   4.07341130
#>  [29,]  17.61407403  14.84121560
#>  [30,]   6.56912985   1.30106361
#>  [31,] 120.79535118   6.27902293
#>  [32,]   0.29205532  24.78588992
#>  [33,]   7.83627919   2.49470675
#>  [34,]   2.88882973   9.55008492
#>  [35,]  21.90624104  51.05621352
#>  [36,]   1.46774418   0.62107544
#>  [37,]  12.68214169   4.72310887
#>  [38,]   4.87180420  17.40430816
#>  [39,]  46.74877905   1.66754839
#>  [40,]   0.88100171   7.21952783
#>  [41,]   9.93087535  30.40191331
#>  [42,]   3.78995904   2.96848187
#>  [43,]  30.57469281  11.01464171
#>  [44,]   2.12598172  74.48796047
#>  [45,]  16.44653077   0.95627983
#>  [46,]   6.19253905   5.45325253
#>  [47,]  91.27798078  20.62185852
#>  [48,]   0.59815247   2.06326426
#>  [49,]   8.81676314   8.29923725
#>  [50,]   3.31973659  38.43855906
#>  [51,]  25.68138261   3.49189625
#>  [52,]   1.78573013  12.75107523
#>  [53,]  14.40600001 140.88002314
#>  [54,]   5.49781848   0.38755069
#>  [55,]  61.97280793   4.28184675
#>  [56,]   1.16790537  15.63567361
#>  [57,]  11.20696724   1.42040054
#>  [58,]   4.30512065   6.57869493
#>  [59,]  37.19868274  26.46202482
#>  [60,]   2.49235594   2.64758630
#>  [61,]  18.89974667  10.01203406
#>  [62,]   6.96735641  57.09432350
#>  [63,] 186.94454856   0.73297953
#>  [64,]   0.19664828   4.95687027
#>  [65,]   7.60933991  18.39261700
#>  [66,]   2.78666041   1.79587875
#>  [67,]  21.09265664   7.56256522
#>  [68,]   1.39125829  32.74156857
#>  [69,]  12.29223067   3.13704800
#>  [70,]   4.72489992  11.55979072
#>  [71,]  43.98050754  87.90904744
#>  [72,]   0.81042104   1.06937327
#>  [73,]   9.63839626   5.71703293
#>  [74,]   3.66842464  21.88559838
#>  [75,]  29.21946221   2.20279160
#>  [76,]   2.03862037   8.69532579
#>  [77,]  15.90206079  41.96424329
#>  [78,]   6.01183422   3.67881928
#>  [79,]  81.57419689  13.40354459
#>  [80,]   0.52597289 214.71172263
#>  [81,]   8.56006881   0.14033817
#>  [82,]   3.20852590   3.93867818
#>  [83,]  24.64955502  14.34081758
#>  [84,]   1.70429866   1.22288106
#>  [85,]  13.94839051   6.08634804
#>  [86,]   5.33527046  23.75762500
#>  [87,]  57.35762123   2.39541246
#>  [88,]   1.09521648   9.25535103
#>  [89,]  10.87090864  47.65538408
#>  [90,]   4.17177589   0.54541811
#>  [91,]  35.33017430   4.57225110
#>  [92,]   2.39810043  16.78584928
#>  [93,]  18.24104327   1.58381823
#>  [94,]   6.76542847   6.99945774
#>  [95,] 145.64058337  28.98975875
#>  [96,]   0.37488280   2.85918097
#>  [97,]   8.07016884  10.66803803
#>  [98,]   2.99314843  67.63640589
#>  [99,]  22.76724917   0.88158365
#> [100,]   1.54536883   5.28332215
#> [101,]  13.08750793  19.83769306
#> [102,]   5.02240906   1.97246518
#> [103,]  49.85146887   8.04577640
#> [104,]   0.95189007  36.36334614
#> [105,]  10.23343623   3.37088073
#> [106,]   3.91429749  12.33797994
#> [107,]  32.03555296 116.65608501
#> [108,]   2.21497508   0.30132878
#> [109,]  17.01658387   4.14202974
#> [110,]   6.37823728  15.09998694
#> [111,] 103.80411521   1.34055619
#> [112,]   0.66930662   6.37746259
#> [113,]   9.08177904  25.32584988
#> [114,]   3.43340091   2.54513208
#> [115,]  26.78191138   9.70135333
#> [116,]   1.86855424  52.93036764
#> [117,]  14.88326882   0.65851628
#> [118,]   5.66465090   4.80001394
#> [119,]  67.37010455  17.72535085
#> [120,]   1.24141701   1.70995148
#> [121,]  11.55540877   7.33211092
#> [122,]   4.44167959  31.15043208
#> [123,]  39.24371938   3.02404452
#> [124,]   2.58849091  11.19289787
#> [125,]  19.59268155  78.46837447
#> [126,]   7.17514932   0.99381737
#> [127,] 277.64366873   5.53997127
#> [128,]   0.13668159  21.03092591
#> [129,]   7.49838384   2.10932078
#> [130,]   2.73635974   8.42909653
#> [131,]  20.70242044  39.55437391
#> [132,]   1.35342060   3.55347129
#> [133,]  12.10280046  12.96405342
#> [134,]   4.65279471 158.06224802
#> [135,]  42.70452623   0.42829431
#> [136,]   0.77518434   4.35307691
#> [137,]   9.49578497  15.91301757
#> [138,]   3.60867986   1.46077367
#> [139,]  28.57782795   6.68154957
#> [140,]   1.99553295  27.06028645
#> [141,]  15.63888619   2.69963441
#> [142,]   5.92329432  10.17159005
#> [143,]  77.48101039  59.41840494
#> [144,]   0.48927119   0.77010957
#> [145,]   8.43472429   5.03686041
#> [146,]   3.15381558  18.73951310
#> [147,]  24.15737653   1.83942070
#> [148,]   1.66408619   7.68051670
#> [149,]  13.72658416  33.58838151
#> [150,]   5.25555392   3.19451089
#> [151,]  55.28915414  11.74862718
#> [152,]   1.05914967  93.58532921
#> [153,]  10.70732218   1.10742730
#> [154,]   4.10627460   5.80742453
#> [155,]  34.45484392  22.33232815
#> [156,]   2.35165758   2.25022353
#> [157,]  17.92373814   8.83180194
#> [158,]   6.66658973  43.26859319
#> [159,] 131.89763924   3.74261834
#> [160,]   0.33444199  13.63034451
#> [161,]   7.95233611 269.83187879
#> [162,]   2.94071593   0.20234136
#> [163,]  22.33055680   4.00563243
#> [164,]   1.50640992  14.58822275
#> [165,]  12.88283669   1.26184251
#> [166,]   4.94663571   6.18199439
#> [167,]  48.25442692  24.26343401
#> [168,]   0.91639642   2.44480332
#> [169,]  10.08086406   9.40143945
#> [170,]   3.85177183  49.30179164
#> [171,]  31.29113382   0.58340501
#> [172,]   2.17027064   4.64719402
#> [173,]  16.72824770  17.09123929
#> [174,]   6.28475168   1.62550702
#> [175,]  97.10978827   7.10865586
#> [176,]   0.63382140  29.68225268
#> [177,]   8.94820657   2.91353088
#> [178,]   3.37625695  10.83971871
#> [179,]  26.22262574  70.89660028
#> [180,]   1.82696433   0.91887606
#> [181,]  14.64209901   5.36771043
#> [182,]   5.58068906  20.22427546
#> [183,]  64.56089389   2.01764864
#> [184,]   1.20455253   8.17148021
#> [185,]  11.37959853  37.37618709
#> [186,]   4.37299135   3.43103687
#> [187,]  38.19753479  12.54242715
#> [188,]   2.54018447 127.47811275
#> [189,]  19.24176874   0.34542182
#> [190,]   7.07050451   4.21150301
#> [191,] 221.26038349  15.36473652
#> [192,]   0.24675972   1.38033154
#> [193,]   7.72195958   6.47734308
#> [194,]   2.83748084  25.88423273
#> [195,]  21.49377362   2.59608874
#> [196,]   1.42936319   9.85531285
#> [197,]  12.48530940  54.93781040
#> [198,]   4.79789774   0.69579815
#> [199,]  45.32649987   4.87792801
#> [200,]   0.84568454  18.05467801
#> [201,]   9.78340657   1.75272529
#> [202,]   3.72884721   7.44644354
#> [203,]  29.88462831  31.92964878
#> [204,]   2.08210080   3.08022958
#> [205,]  16.17120702  11.37458155
#> [206,]   6.10157461  82.91085886
#> [207,]  86.14122273   1.03150899
#> [208,]   0.56223117   5.62789006
#> [209,]   8.68739973  21.45199082
#> [210,]   3.26382960   2.15582696
#> [211,]  25.15730025   8.56110863
#> [212,]   1.74484409  40.72798316
#> [213,]  14.17481420   3.61577465
#> [214,]   5.41601888  13.18149639
#> [215,]  59.57918285 181.19128800
#> [216,]   1.13146406   0.46802659
#> [217,]  11.03743094   4.42520982
#> [218,]   4.23805341  16.19699849
#> [219,]  36.24388651   1.50146111
#> [220,]   2.44499725   6.78593927
#> [221,]  18.56627817  27.68015909
#> [222,]   6.86567435   2.75224291
#> [223,] 163.25148221  10.33405658
#> [224,]   0.41394335  61.93189925
#> [225,]   8.18981702   0.80723021
#> [226,]   3.04613634   5.11791858
#> [227,]  23.21687919  19.09573079
#> [228,]   1.58462915   1.88335993
#> [229,]  13.29627348   7.80033998
#> [230,]   5.09914142  34.47248483
#> [231,]  51.54904116   3.25262959
#> [232,]   0.98750200  11.94119677
#> [233,]  10.38865758 100.10329498
#> [234,]   3.97754819   1.14568692
#> [235,]  32.80968879   5.89909014
#> [236,]   2.26010262  22.79279702
#> [237,]  17.31177638   2.29813165
#> [238,]   6.47302130   8.97059282
#> [239,] 111.59077193  44.64714669
#> [240,]   0.70466492   3.80718531
#> [241,]   9.21753117  13.86204902
#> [242,]   3.49117893 389.04703324
#> [243,]  27.36018466   0.08268966
#> [244,]   1.91050734   3.89449290
#> [245,]  15.12967404  14.17889471
#> [246,]   5.74972477   1.19704493
#> [247,]  70.43247255   6.02333777
#> [248,]   1.27850968  23.42926971
#> [249,]  11.73448505   2.36276543
#> [250,]   4.51119972   9.15934781
#> [251,]  40.34085946  46.61270108
#> [252,]   2.63728341   0.51986494
#> [253,]  19.95284069   4.52282024
#> [254,]   7.28132237  16.58638299
#> [255,] 399.45503390   1.55621701
#> [256,]   0.09744644   6.92757099
#> [257,]   7.44351860  28.54241426
#> [258,]   2.71140163   2.82327648
#> [259,]  20.51124306  10.55534216
#> [260,]   1.33459909  65.62355149
#> [261,]  12.00942182   0.85677173
#> [262,]   4.61707192   5.22769330
#> [263,]  42.09102048  19.58585657
#> [264,]   0.75756669   1.94257867
#> [265,]   9.42536090   7.96309103
#> [266,]   3.57905813  35.71387976
#> [267,]  28.26543611   3.33116128
#> [268,]   1.97413429  12.20395414
#> [269,]  15.50947646 110.50387246
#> [270,]   5.87946736   0.27038412
#> [271,]  75.58807716   4.09619008
#> [272,]   0.47071272  14.92682099
#> [273,]   8.37278291   1.31419708
#> [274,]   3.12667989   6.31167791
#> [275,]  23.91689757  24.96388763
#> [276,]   1.64410241   2.51145674
#> [277,]  13.61736885   9.60021297
#> [278,]   5.21607668  51.66699969
#> [279,]  54.30717884   0.63357745
#> [280,]   1.04117978   4.74863295
#> [281,]  10.62660621  17.51042140
#> [282,]   4.07381090   1.68164212
#> [283,]  34.03079359   7.25686353
#> [284,]   2.32860396  30.64812546
#> [285,]  17.76796844   2.98693426
#> [286,]   6.61768917  11.07368549
#> [287,] 126.07082557  75.76828647
#> [288,]   0.31353912   0.96877644
#> [289,]   7.89408810   5.48202689
#> [290,]   2.91470511  20.75691357
#> [291,]  22.11688560   2.07856701
#> [292,]   1.48704092   8.34228763
#> [293,]  12.78199936  38.80435398
#> [294,]   4.90910328   3.51234112
#> [295,]  47.49070422  12.82158030
#> [296,]   0.89868799 146.10749880
#> [297,]  10.00555079   0.40126426
#> [298,]   3.82077708   4.30549085
#> [299,]  30.92951920  15.72739858
#> [300,]   2.14807471   1.43382395
#> [301,]  16.58657621   6.61281126
#> [302,]   6.23848780  26.65911634
#> [303,]  94.09771443   2.66487401
#> [304,]   0.61601387  10.06490073
#> [305,]   8.88222182  57.84939566
#> [306,]   3.34791946   0.74535971
#> [307,]  25.94980539   4.98341624
#> [308,]   1.80630324  18.50723621
#> [309,]  14.52342567   1.81034913
#> [310,]   5.53911864   7.60167702
#> [311,]  63.24098822  33.01984865
#> [312,]   1.18620249   3.15613013
#> [313,]  11.29289083  11.62232803
#> [314,]   4.33895469  89.71871718
#> [315,]  37.69240459   1.08203606
#> [316,]   2.51621098   5.74702348
#> [317,]  19.06966786  22.03302061
#> [318,]   7.01874531   2.21854988
#> [319,] 202.32247286   8.74056413
#> [320,]   0.22249524  42.39117401
#> [321,]   7.66543955   3.70000115
#> [322,]   2.81200511  13.47860918
#> [323,]  21.29182632 229.72964289
#> [324,]   1.41027678   0.16279045
#> [325,]  12.38830750   3.96090555
#> [326,]   4.76128626  14.42267654
#> [327,]  44.64437754   1.23584011
#> [328,]   0.82804768   6.11807833
#> [329,]   9.71059787  23.92442888
#> [330,]   3.69855049   2.41181970
#> [331,]  29.54902086   9.30376703
#> [332,]   2.06031099  48.19284241
#> [333,]  16.03587480   0.55812177
#> [334,]   6.05655290   4.59712519
#> [335,]  83.79306230  16.88681034
#> [336,]   0.54415021   1.59767589
#> [337,]   8.62348312   7.03567339
#> [338,]   3.23610296  29.21767031
#> [339,]  24.90143484   2.87723146
#> [340,]   1.72452928  10.72491014
#> [341,]  14.06101628  68.68941503
#> [342,]   5.37551449   0.89400357
#> [343,]  58.44815166   5.31132476
#> [344,]   1.11331684  19.96536026
#> [345,]  10.95379799   1.98747885
#> [346,]   4.20481679   8.08745249
#> [347,]  35.78206973  36.69568145
#> [348,]   2.42149160   3.39085540
#> [349,]  18.40265087  12.40567001
#> [350,]   6.81537372 120.02833783
#> [351,] 153.85651319   0.31629359
#> [352,]   0.39455941   4.16509175
#> [353,]   8.12976348  15.18756242
#> [354,]   3.01957238   1.35378268
#> [355,]  22.99041055   6.41059450
#> [356,]   1.56496080  25.50988324
#> [357,]  13.19137135   2.56205813
#> [358,]   5.06065427   9.75237072
#> [359,]  50.68706901  53.58397603
#> [360,]   0.96968011   0.67095813
#> [361,]  10.31071156   4.82587225
#> [362,]   3.94583144  17.83419027
#> [363,]  32.41879187   1.72416778
#> [364,]   2.23748549   7.37002548
#> [365,]  17.16330781  31.40666465
#> [366,]   6.42546538   3.04270318
#> [367,] 107.54331919  11.25307350
#> [368,]   0.68699847  79.89372608
#> [369,]   9.14937942   1.00636317
#> [370,]   3.46221001   5.56914302
#> [371,]  27.06861286  21.16992158
#> [372,]   1.88948492   2.12477245
#> [373,]  15.00580644   8.47285882
#> [374,]   5.70704751  39.93892664
#> [375,]  68.86739501   3.57415752
#> [376,]   1.25993416  13.03603151
#> [377,]  11.64453309 164.95919836
#> [378,]   4.47633476   0.44163620
#> [379,]  39.78567877   4.37702009
#> [380,]   2.61282589  16.00692875
#> [381,]  19.77158235   1.47430073
#> [382,]   7.22804281   6.71617395
#> [383,] 324.00317845  27.26445058
#> [384,]   0.16851116   2.71710783
#> [385,]   7.55365615  10.22541835
#> [386,]   2.76144565  60.23400085
#> [387,]  20.89620676   0.78248226
#> [388,]   1.37230661   5.06376012
#> [389,]  12.19706591  18.85719803
#> [390,]   4.68873673   1.85402254
#> [391,]  43.33412951   7.72024771
#> [392,]   0.79280115  33.87881441
#> [393,]   9.56679437   3.21381036
#> [394,]   3.63846823  11.81239691
#> [395,]  28.89578495  95.65487273
#> [396,]   2.01702800   1.12015691
#> [397,]  15.76973954   5.83783691
#> [398,]   5.96741566  22.48425962
#> [399,]  79.47346670   2.26613955
#> [400,]   0.50768519   8.87780557
#> [401,]   8.49715108  43.71954280
#> [402,]   3.18109718   3.76405467
#> [403,]  24.40156612  13.70702665
#> [404,]   1.68415129 297.93308919
#> [405,]  13.83691899   0.22040040
#> [406,]   5.29528439   4.02813303
#> [407,]  56.30532122  14.67192360
#> [408,]   1.07716132   1.27488676
#> [409,]  10.78875321   6.21418225
#> [410,]   4.13892905  24.43569521
#> [411,]  34.88787060   2.46138039
#> [412,]   2.37482275   9.45070062
#> [413,]  18.08141787  49.87405284
#> [414,]   6.71583499   0.59599230
#> [415,] 138.37751438   4.67239008
#> [416,]   0.35486408  17.19472812
#> [417,]   8.01102805   1.63948118
#> [418,]   2.96686333   7.14542538
#> [419,]  22.54732164  29.91904039
#> [420,]   1.52585221   2.93178057
#> [421,]  12.98466801  10.89766170
#> [422,]   4.98440359  72.05432940
#> [423,]  49.04098085   0.93133046
#> [424,]   0.93412963   5.39609515
#> [425,]  10.15682316  20.35555755
#> [426,]   3.88294480   2.03280539
#> [427,]  31.65974084   8.21383536
#> [428,]   2.19257044  37.72462286
#> [429,]  16.87157383   3.45124459
#> [430,]   6.33133378  12.61150347
#> [431,] 100.33654220 131.61224499
#> [432,]   0.65158318   0.35964874
#> [433,]   9.01472355   4.23485343
#> [434,]   3.40475033  15.45435076
#> [435,]  26.49995573   1.39365472
#> [436,]   1.84771436   6.51096201
#> [437,]  14.76203995  26.07462274
#> [438,]   5.62253229   2.61319402
#> [439,]  65.93599756   9.90724284
#> [440,]   1.22295691  55.63923251
#> [441,]  11.46710091   0.70820051
#> [442,]   4.40723239   4.90412689
#> [443,]  38.71449272  18.16635080
#> [444,]   2.56427745   1.76706715
#> [445,]  19.41609202   7.48495000
#> [446,]   7.12263787  32.19655089
#> [447,] 245.39019102   3.09909813
#> [448,]   0.26985707  11.43592127
#> [449,]   7.77890458  84.50982127
#> [450,]   2.86308867   1.04411036
#> [451,]  21.69855809   5.65746714
#> [452,]   1.44851862  21.59510516
#> [453,]  12.58324963   2.17143047
#> [454,]   4.83473637   8.60560005
#> [455,]  46.02768136  41.13285288
#> [456,]   0.86333487   3.63670652
#> [457,]   9.85682986  13.25499366
#> [458,]   3.75931624 190.87388296
#> [459,]  30.22645863   0.48109288
#> [460,]   2.10399073   4.44945762
#> [461,]  16.30808346  16.29317507
#> [462,]   6.14690233   1.51509515
#> [463,]  88.63136467   6.82108268
#> [464,]   0.58022823  27.89179573
#> [465,]   8.75182444   2.76990532
#> [466,]   3.29170706  10.38887235
#> [467,]  25.41724912  62.81617890
#> [468,]   1.76524406   0.81960807
#> [469,]  14.28980255   5.14517886
#> [470,]   5.45678605  19.21660741
#> [471,]  60.75317670   1.89809614
#> [472,]   1.14965973   7.84070447
#> [473,]  11.12181735  34.77592004
#> [474,]   4.27148746   3.27215021
#> [475,]  36.71597010  12.00623511
#> [476,]   2.46861837 102.49951345
#> [477,]  18.73196361   1.15848839
#> [478,]   6.91633401   5.92993294
#> [479,] 174.13504733  22.94945215
#> [480,]   0.43307522   2.31420840
#> [481,]   8.25033462   9.01738072
#> [482,]   3.07284146  45.12432170
#> [483,]  23.44673077   3.82888064
#> [484,]   1.60437487  13.94040116
#> [485,]  13.40222984 476.01158473
#> [486,]   5.13787271   0.11469920
#> [487,]  52.43873452   3.91654081
#> [488,]   1.00535788  14.25955916
#> [489,]  10.46728286   1.20994949
#> [490,]   4.00944930   6.05476820
#> [491,]  33.20848497  23.59258139
#> [492,]   2.28282744   2.37906115
#> [493,]  17.46202103   9.20721206
#> [494,]   6.52090835  47.12878492
#> [495,] 115.99038565   0.53266741
#> [496,]   0.72231167   4.54748300
#> [497,]   9.28624085  16.68571018
#> [498,]   3.52030903   1.56999872
#> [499,]  27.65675580   6.96342405
#> [500,]   1.93162242  28.76469161

# Generate 500 random draws from a triangular distribution
halton_dists(dist="t", mean=1, sdev=0.5, ndraws=500)
#>    [1] 1.0000000 0.8535534 1.1464466 0.7500000 1.0669873 0.9330127 1.2500000
#>    [8] 0.6767767 1.0322928 0.8952847 1.1938138 0.8061862 1.1047153 0.9677072
#>   [15] 1.3232233 0.6250000 1.0158771 0.8750000 1.1692811 0.7795085 1.0854219
#>   [22] 0.9506939 1.2834936 0.7165064 1.0493061 0.9145781 1.2204915 0.8307189
#>   [29] 1.1250000 0.9841229 1.3750000 0.5883883 1.0078745 0.8644345 1.1576734
#>   [36] 0.7651650 1.0761044 0.9419417 1.2661464 0.6976424 1.0407207 0.9050463
#>   [43] 1.2068490 0.8186887 1.1147241 0.9759858 1.3469069 0.6530931 1.0240142
#>   [50] 0.8852759 1.1813113 0.7931510 1.0949537 0.9592793 1.3023576 0.7338536
#>   [57] 1.0580583 0.9238956 1.2348350 0.8423266 1.1355655 0.9921255 1.4116117
#>   [64] 0.5625000 1.0039216 0.8590352 1.1520147 0.7576941 1.0715216 0.9375000
#>   [71] 1.2579385 0.6875000 1.0364876 0.9001953 1.2002605 0.8125000 1.1096876
#>   [78] 0.9718647 1.3346405 0.6397542 1.0199284 0.8801727 1.1752405 0.7864110
#>   [85] 1.0901601 0.9550069 1.2927110 0.7253470 1.0536607 0.9192627 1.2275688
#>   [92] 0.8365728 1.1302450 0.9881406 1.3917468 0.6082532 1.0118594 0.8697550
#>   [99] 1.1634272 0.7724312 1.0807373 0.9463393 1.2746530 0.7072890 1.0449931
#>  [106] 0.9098399 1.2135890 0.8247595 1.1198273 0.9800716 1.3602458 0.6653595
#>  [113] 1.0281353 0.8903124 1.1875000 0.7997395 1.0998047 0.9635124 1.3125000
#>  [120] 0.7420615 1.0625000 0.9284784 1.2423059 0.8479853 1.1409648 0.9960784
#>  [127] 1.4375000 0.5441942 1.0019570 0.8563048 1.1492196 0.7538762 1.0692485
#>  [134] 0.9352621 1.2539373 0.6822172 1.0343855 0.8977476 1.1970200 0.8093592
#>  [141] 1.1071936 0.9697905 1.3288367 0.6325825 1.0178985 0.8775952 1.1722472
#>  [148] 0.7829808 1.0877842 0.9528555 1.2880522 0.7209709 1.0514781 0.9169270
#>  [155] 1.2240075 0.8336587 1.1276133 0.9861359 1.3830732 0.5988212 1.0098629
#>  [162] 0.8671044 1.1605381 0.7688227 1.0784145 0.9441460 1.2703603 0.7025231
#>  [169] 1.0428519 0.9074502 1.2101994 0.8217384 1.1172672 0.9780331 1.3534245
#>  [176] 0.6593444 1.0260703 0.8878023 1.1843905 0.7964635 1.0973719 0.9614007
#>  [183] 1.3073621 0.7379929 1.0602735 0.9261932 1.2385437 0.8451675 1.1382551
#>  [190] 0.9941059 1.4234534 0.5765466 1.0058941 0.8617449 1.1548325 0.7614563
#>  [197] 1.0738068 0.9397265 1.2620071 0.6926379 1.0385993 0.9026281 1.2035365
#>  [204] 0.8156095 1.1121977 0.9739297 1.3406556 0.6465755 1.0219669 0.8827328
#>  [211] 1.1782616 0.7898006 1.0925498 0.9571481 1.2974769 0.7296397 1.0558540
#>  [218] 0.9215855 1.2311773 0.8394619 1.1328956 0.9901371 1.4011788 0.6169268
#>  [225] 1.0138641 0.8723867 1.1663413 0.7759925 1.0830730 0.9485219 1.2790291
#>  [232] 0.7119478 1.0471445 0.9122158 1.2170192 0.8277528 1.1224048 0.9821015
#>  [239] 1.3674175 0.6711633 1.0302095 0.8928064 1.1906408 0.8029800 1.1022524
#>  [246] 0.9656145 1.3177828 0.7460627 1.0647379 0.9307515 1.2461238 0.8507804
#>  [253] 1.1436952 0.9980430 1.4558058 0.5312500 1.0009775 0.8549318 1.1478304
#>  [260] 0.7519456 1.0681164 0.9341389 1.2519608 0.6795176 1.0333380 0.8965180
#>  [267] 1.1954127 0.8077768 1.1059525 0.9687500 1.3260074 0.6288471 1.0168867
#>  [274] 0.8762998 1.1707608 0.7812500 1.0866014 0.9517760 1.2857608 0.7187500
#>  [281] 1.0503908 0.9157542 1.2222439 0.8321921 1.1263044 0.9851305 1.3789693
#>  [288] 0.5937500 1.0088677 0.8657719 1.1591027 0.7670001 1.0772578 0.9430452
#>  [295] 1.2682438 0.7000976 1.0417851 0.9062500 1.2085194 0.8202172 1.1159936
#>  [302] 0.9770105 1.3501303 0.6562500 1.0250411 0.8865412 1.1828471 0.7948119
#>  [309] 1.0961610 0.9603412 1.3048438 0.7359323 1.0591645 0.9250460 1.2366828
#>  [316] 0.8437500 1.1369078 0.9931167 1.4173203 0.5698771 1.0049069 0.8603926
#>  [323] 1.1534207 0.7595820 1.0726627 0.9386147 1.2599642 0.6900863 1.0375422
#>  [330] 0.9014135 1.2018940 0.8140586 1.1109406 0.9728983 1.3376202 0.6432055
#>  [337] 1.0209466 0.8814549 1.1767475 0.7881108 1.0913532 0.9560787 1.2950800
#>  [344] 0.7275034 1.0547560 0.9204258 1.2293671 0.8380204 1.1315679 0.9891399
#>  [351] 1.3963555 0.6126735 1.0128607 0.8710732 1.1648811 0.7742176 1.0819035
#>  [358] 0.9474319 1.2768304 0.7096314 1.0460675 0.9110296 1.2152990 0.8262596
#>  [365] 1.1211139 0.9810876 1.3637844 0.6682864 1.0291713 0.8915614 1.1890664
#>  [372] 0.8013641 1.1010267 0.9645646 1.3151225 0.7440703 1.0636175 0.9296165
#>  [379] 1.2442077 0.8493856 1.1423274 0.9970617 1.4458734 0.5541266 1.0029383
#>  [386] 0.8576726 1.1506144 0.7557923 1.0703835 0.9363825 1.2559297 0.6848775
#>  [393] 1.0354354 0.8989733 1.1986359 0.8109336 1.1084386 0.9708287 1.3317136
#>  [400] 0.6362156 1.0189124 0.8788861 1.1737404 0.7847010 1.0889704 0.9539325
#>  [407] 1.2903686 0.7231696 1.0525681 0.9180965 1.2257824 0.8351189 1.1289268
#>  [414] 0.9871393 1.3873265 0.6036445 1.0108601 0.8684321 1.1619796 0.7706329
#>  [421] 1.0795742 0.9452440 1.2724966 0.7049200 1.0439213 0.9086468 1.2118892
#>  [428] 0.8232525 1.1185451 0.9790534 1.3567945 0.6623798 1.0271017 0.8890594
#>  [435] 1.1859414 0.7981060 1.0985865 0.9624578 1.3099137 0.7400358 1.0613853
#>  [442] 0.9273373 1.2404180 0.8465793 1.1396074 0.9950931 1.4301229 0.5826797
#>  [449] 1.0068833 0.8630922 1.1562500 0.7633172 1.0749540 0.9408355 1.2640677
#>  [456] 0.6951562 1.0396588 0.9038390 1.2051881 0.8171529 1.1134588 0.9749589
#>  [463] 1.3437500 0.6498697 1.0229895 0.8840064 1.1797828 0.7914806 1.0937500
#>  [470] 0.9582149 1.2999024 0.7317562 1.0569548 0.9227422 1.2329999 0.8408973
#>  [477] 1.1342281 0.9911323 1.4062500 0.6210307 1.0148695 0.8736956 1.1678079
#>  [484] 0.7777561 1.0842458 0.9496092 1.2812500 0.7142392 1.0482240 0.9133986
#>  [491] 1.2187500 0.8292392 1.1237002 0.9831133 1.3711529 0.6739926 1.0312500
#>  [498] 0.8940475 1.1922232 0.8045873 0.9082483 1.0917517 0.7357023 0.9714045
#>  [505] 1.1666667 0.8333333 1.0285955 1.2642977 0.6360828 0.9303315 1.1150998
#>  [512] 0.7721655 0.9906534 1.1957097 0.8600411 1.0486645 1.3075499 0.6924501
#>  [519] 0.9513355 1.1399589 0.8042903 1.0093466 1.2278345 0.8849002 1.0696685
#>  [526] 1.3639172 0.5785674 0.9157397 1.0993832 0.7484520 0.9779070 1.1760582
#>  [533] 0.8424674 1.0351889 1.2777778 0.6571348 0.9374449 1.1232039 0.7832789
#>  [540] 0.9969040 1.2060276 0.8685139 1.0555556 1.3243179 0.7078699 0.9581228
#>  [547] 1.1486358 0.8142697 1.0156779 1.2394213 0.8928371 1.0769015 1.3888889
#>  [554] 0.6111111 0.9230985 1.1071629 0.7605787 0.9843221 1.1857303 0.8513642
#>  [561] 1.0418772 1.2921301 0.6756821 0.9444444 1.1314861 0.7939724 1.0030960
#>  [568] 1.2167211 0.8767961 1.0625551 1.3428652 0.7222222 0.9648111 1.1575326
#>  [575] 0.8239418 1.0220930 1.2515480 0.9006168 1.0842603 1.4214326 0.5453609
#>  [582] 0.9107606 1.0942796 0.7400274 0.9735819 1.1697675 0.8364056 1.0307830
#>  [589] 1.2687038 0.6434438 0.9327156 1.1177821 0.7759197 0.9927457 1.1991097
#>  [596] 0.8628874 1.0509498 1.3129721 0.6977237 0.9536092 1.1428277 0.8076527
#>  [603] 1.0114479 1.2316412 0.8875639 1.0720659 1.3716999 0.5907218 0.9182070
#>  [610] 1.1019595 0.7525589 0.9800549 1.1792499 0.8454585 1.0374076 1.2824567
#>  [617] 0.6635511 0.9397904 1.1259443 0.7868877 0.9989701 1.2095484 0.8712951
#>  [624] 1.0578764 1.3302750 0.7127616 0.9603631 1.1515762 0.8175264 1.0178068
#>  [631] 1.2433999 0.8954473 1.0793401 1.3985699 0.6200137 0.9255232 1.1097906
#>  [638] 0.7644973 0.9864417 1.1890212 0.8542801 1.0441284 1.2971398 0.6814437
#>  [645] 0.9467533 1.1342886 0.7974515 1.0051708 1.2203765 0.8795167 1.0649133
#>  [652] 1.3495548 0.7268046 0.9670193 1.1605499 0.8271023 1.0242506 1.2557240
#>  [659] 0.9031767 1.0867423 1.4358500 0.5641500 0.9132577 1.0968233 0.7442760
#>  [666] 0.9757494 1.1728977 0.8394501 1.0329807 1.2731954 0.6504452 0.9350867
#>  [673] 1.1204833 0.7796235 0.9948292 1.2025485 0.8657114 1.0532467 1.3185563
#>  [680] 0.7028602 0.9558716 1.1457199 0.8109788 1.0135583 1.2355027 0.8902094
#>  [687] 1.0744768 1.3799863 0.6014301 0.9206599 1.1045527 0.7566001 0.9821932
#>  [694] 1.1824736 0.8484238 1.0396369 1.2872384 0.6697250 0.9421236 1.1287049
#>  [701] 0.7904516 1.0010299 1.2131123 0.8740557 1.0602096 1.3364489 0.7175433
#>  [708] 0.9625924 1.1545415 0.8207501 1.0199451 1.2474411 0.8980405 1.0817930
#>  [715] 1.4092782 0.6283001 0.9279341 1.1124361 0.7683588 0.9885521 1.1923473
#>  [722] 0.8571723 1.0463908 1.3022763 0.6870279 0.9490502 1.1371126 0.8008903
#>  [729] 1.0072543 1.2240803 0.8822179 1.0672844 1.3565562 0.7312962 0.9692170
#>  [736] 1.1635944 0.8302325 1.0264181 1.2599726 0.9057204 1.0892394 1.4546391
#>  [743] 0.5261891 0.9090874 1.0925926 0.7371527 0.9721314 1.1676971 0.8343606
#>  [750] 1.0293235 1.2657572 0.6385799 0.9311277 1.1159918 0.7734226 0.9913518
#>  [757] 1.1968388 0.8609924 1.0494250 1.3093402 0.6942239 0.9520947 1.1409126
#>  [764] 0.8054152 1.0100461 1.2290974 0.8857901 1.0704662 1.3664611 0.5828173
#>  [771] 0.9165638 1.1002401 0.7498285 0.9786240 1.1771186 0.8434674 1.0359273
#>  [778] 1.2793264 0.6593023 0.9382281 1.1241151 0.7844869 0.9975937 1.2071965
#>  [785] 0.8694433 1.0563278 1.3262809 0.7095131 0.9588708 1.1496132 0.8153590
#>  [792] 1.0163865 1.2407407 0.8937091 1.0777128 1.3920194 0.6141558 0.9239083
#>  [799] 1.1080368 0.7618914 0.9850297 1.1868234 0.8523388 1.0426263 1.2937865
#>  [806] 0.6776234 0.9452154 1.1324179 0.7951366 1.0037866 1.2179343 0.8777051
#>  [813] 1.0633398 1.3450630 0.7237601 0.9655483 1.1585354 0.8249987 1.0228112
#>  [820] 1.2529321 0.9014719 1.0850860 1.4259259 0.5523783 0.9115946 1.0951257
#>  [827] 0.7414519 0.9743055 1.1708076 0.8374235 1.0315144 1.2701912 0.6458150
#>  [834] 0.9335074 1.1186804 0.7771598 0.9934412 1.2002516 0.8638312 1.0517141
#>  [841] 1.3148148 0.6994505 0.9543646 1.1437892 0.8087654 1.0121504 1.2329221
#>  [848] 0.8884477 1.0728681 1.3744013 0.5944263 0.9190262 1.1028220 0.7539131
#>  [855] 0.9807687 1.1803208 0.8464498 1.0381495 1.2840388 0.6656347 0.9405695
#>  [862] 1.1268622 0.7880805 0.9996569 1.2107315 0.8722176 1.0586528 1.3323077
#>  [869] 0.7143674 0.9611074 1.1525618 0.8186046 1.0185185 1.2447398 0.8963136
#>  [876] 1.0801561 1.4020092 0.6228380 0.9263283 1.1106704 0.7657907 0.9871462
#>  [883] 1.1901259 0.8552468 1.0448813 1.2988374 0.6833240 0.9475202 1.1352275
#>  [890] 0.7986021 1.0058643 1.2216056 0.8804192 1.0657022 1.3518519 0.7283116
#>  [897] 0.9677530 1.1615617 0.8281490 1.0249720 1.2571319 0.9040264 1.0875730
#>  [904] 1.4414393 0.5692900 0.9140867 1.0976748 0.7456759 0.9764696 1.1739478
#>  [911] 0.8404588 1.0337156 1.2747125 0.6527076 0.9358742 1.1213880 0.7808472
#>  [918] 0.9955218 1.2037037 0.8666480 1.0540150 1.3204563 0.7045437 0.9566233
#>  [925] 1.1466892 0.8120796 1.0142638 1.2368024 0.8910873 1.0752835 1.3828786
#>  [932] 0.6047566 0.9214743 1.1054208 0.7579331 0.9829039 1.1835554 0.8494067
#>  [939] 1.0403825 1.2888564 0.6717337 0.9428985 1.1296296 0.7916299 1.0017176
#>  [946] 1.2143102 0.8749714 1.0609900 1.3385593 0.7191141 0.9633332 1.1555356
#>  [953] 0.8218175 1.0206600 1.2488026 0.8989011 1.0826138 1.4131404 0.6309457
#>  [960] 0.9287347 1.1133220 0.7696337 0.9892535 1.1934640 0.8581311 1.0471474
#>  [967] 1.3040184 0.6888526 0.9498133 1.1380589 0.8020279 1.0079507 1.2253260
#>  [974] 0.8831141 1.0680776 1.3589672 0.7327742 0.9699473 1.1646154 0.8312693
#>  [981] 1.0271428 1.2614056 0.9065648 1.0900751 1.4629630 0.5370370 0.9099249
#>  [988] 1.0934352 0.7385944 0.9728572 1.1687307 0.8353846 1.0300527 1.2672258
#>  [995] 0.6410328 0.9319224 1.1168859 0.7746740 0.9920493 1.1979721

# Generate 500 random draws from a uniform distribution
halton_dists(dist="u", mean=8, sdev=3, ndraws=500)
#>            [,1]     [,2]
#>   [1,] 8.000000 7.500000
#>   [2,] 7.250000 8.500000
#>   [3,] 8.750000 6.833333
#>   [4,] 6.875000 7.833333
#>   [5,] 8.375000 8.833333
#>   [6,] 7.625000 7.166667
#>   [7,] 9.125000 8.166667
#>   [8,] 6.687500 9.166667
#>   [9,] 8.187500 6.611111
#>  [10,] 7.437500 7.611111
#>  [11,] 8.937500 8.611111
#>  [12,] 7.062500 6.944444
#>  [13,] 8.562500 7.944444
#>  [14,] 7.812500 8.944444
#>  [15,] 9.312500 7.277778
#>  [16,] 6.593750 8.277778
#>  [17,] 8.093750 9.277778
#>  [18,] 7.343750 6.722222
#>  [19,] 8.843750 7.722222
#>  [20,] 6.968750 8.722222
#>  [21,] 8.468750 7.055556
#>  [22,] 7.718750 8.055556
#>  [23,] 9.218750 9.055556
#>  [24,] 6.781250 7.388889
#>  [25,] 8.281250 8.388889
#>  [26,] 7.531250 9.388889
#>  [27,] 9.031250 6.537037
#>  [28,] 7.156250 7.537037
#>  [29,] 8.656250 8.537037
#>  [30,] 7.906250 6.870370
#>  [31,] 9.406250 7.870370
#>  [32,] 6.546875 8.870370
#>  [33,] 8.046875 7.203704
#>  [34,] 7.296875 8.203704
#>  [35,] 8.796875 9.203704
#>  [36,] 6.921875 6.648148
#>  [37,] 8.421875 7.648148
#>  [38,] 7.671875 8.648148
#>  [39,] 9.171875 6.981481
#>  [40,] 6.734375 7.981481
#>  [41,] 8.234375 8.981481
#>  [42,] 7.484375 7.314815
#>  [43,] 8.984375 8.314815
#>  [44,] 7.109375 9.314815
#>  [45,] 8.609375 6.759259
#>  [46,] 7.859375 7.759259
#>  [47,] 9.359375 8.759259
#>  [48,] 6.640625 7.092593
#>  [49,] 8.140625 8.092593
#>  [50,] 7.390625 9.092593
#>  [51,] 8.890625 7.425926
#>  [52,] 7.015625 8.425926
#>  [53,] 8.515625 9.425926
#>  [54,] 7.765625 6.574074
#>  [55,] 9.265625 7.574074
#>  [56,] 6.828125 8.574074
#>  [57,] 8.328125 6.907407
#>  [58,] 7.578125 7.907407
#>  [59,] 9.078125 8.907407
#>  [60,] 7.203125 7.240741
#>  [61,] 8.703125 8.240741
#>  [62,] 7.953125 9.240741
#>  [63,] 9.453125 6.685185
#>  [64,] 6.523438 7.685185
#>  [65,] 8.023438 8.685185
#>  [66,] 7.273438 7.018519
#>  [67,] 8.773438 8.018519
#>  [68,] 6.898438 9.018519
#>  [69,] 8.398438 7.351852
#>  [70,] 7.648438 8.351852
#>  [71,] 9.148438 9.351852
#>  [72,] 6.710938 6.796296
#>  [73,] 8.210938 7.796296
#>  [74,] 7.460938 8.796296
#>  [75,] 8.960938 7.129630
#>  [76,] 7.085938 8.129630
#>  [77,] 8.585938 9.129630
#>  [78,] 7.835938 7.462963
#>  [79,] 9.335938 8.462963
#>  [80,] 6.617188 9.462963
#>  [81,] 8.117188 6.512346
#>  [82,] 7.367188 7.512346
#>  [83,] 8.867188 8.512346
#>  [84,] 6.992188 6.845679
#>  [85,] 8.492188 7.845679
#>  [86,] 7.742188 8.845679
#>  [87,] 9.242188 7.179012
#>  [88,] 6.804688 8.179012
#>  [89,] 8.304688 9.179012
#>  [90,] 7.554688 6.623457
#>  [91,] 9.054688 7.623457
#>  [92,] 7.179688 8.623457
#>  [93,] 8.679688 6.956790
#>  [94,] 7.929688 7.956790
#>  [95,] 9.429688 8.956790
#>  [96,] 6.570312 7.290123
#>  [97,] 8.070312 8.290123
#>  [98,] 7.320312 9.290123
#>  [99,] 8.820312 6.734568
#> [100,] 6.945312 7.734568
#> [101,] 8.445312 8.734568
#> [102,] 7.695312 7.067901
#> [103,] 9.195312 8.067901
#> [104,] 6.757812 9.067901
#> [105,] 8.257812 7.401235
#> [106,] 7.507812 8.401235
#> [107,] 9.007812 9.401235
#> [108,] 7.132812 6.549383
#> [109,] 8.632812 7.549383
#> [110,] 7.882812 8.549383
#> [111,] 9.382812 6.882716
#> [112,] 6.664062 7.882716
#> [113,] 8.164062 8.882716
#> [114,] 7.414062 7.216049
#> [115,] 8.914062 8.216049
#> [116,] 7.039062 9.216049
#> [117,] 8.539062 6.660494
#> [118,] 7.789062 7.660494
#> [119,] 9.289062 8.660494
#> [120,] 6.851562 6.993827
#> [121,] 8.351562 7.993827
#> [122,] 7.601562 8.993827
#> [123,] 9.101562 7.327160
#> [124,] 7.226562 8.327160
#> [125,] 8.726562 9.327160
#> [126,] 7.976562 6.771605
#> [127,] 9.476562 7.771605
#> [128,] 6.511719 8.771605
#> [129,] 8.011719 7.104938
#> [130,] 7.261719 8.104938
#> [131,] 8.761719 9.104938
#> [132,] 6.886719 7.438272
#> [133,] 8.386719 8.438272
#> [134,] 7.636719 9.438272
#> [135,] 9.136719 6.586420
#> [136,] 6.699219 7.586420
#> [137,] 8.199219 8.586420
#> [138,] 7.449219 6.919753
#> [139,] 8.949219 7.919753
#> [140,] 7.074219 8.919753
#> [141,] 8.574219 7.253086
#> [142,] 7.824219 8.253086
#> [143,] 9.324219 9.253086
#> [144,] 6.605469 6.697531
#> [145,] 8.105469 7.697531
#> [146,] 7.355469 8.697531
#> [147,] 8.855469 7.030864
#> [148,] 6.980469 8.030864
#> [149,] 8.480469 9.030864
#> [150,] 7.730469 7.364198
#> [151,] 9.230469 8.364198
#> [152,] 6.792969 9.364198
#> [153,] 8.292969 6.808642
#> [154,] 7.542969 7.808642
#> [155,] 9.042969 8.808642
#> [156,] 7.167969 7.141975
#> [157,] 8.667969 8.141975
#> [158,] 7.917969 9.141975
#> [159,] 9.417969 7.475309
#> [160,] 6.558594 8.475309
#> [161,] 8.058594 9.475309
#> [162,] 7.308594 6.524691
#> [163,] 8.808594 7.524691
#> [164,] 6.933594 8.524691
#> [165,] 8.433594 6.858025
#> [166,] 7.683594 7.858025
#> [167,] 9.183594 8.858025
#> [168,] 6.746094 7.191358
#> [169,] 8.246094 8.191358
#> [170,] 7.496094 9.191358
#> [171,] 8.996094 6.635802
#> [172,] 7.121094 7.635802
#> [173,] 8.621094 8.635802
#> [174,] 7.871094 6.969136
#> [175,] 9.371094 7.969136
#> [176,] 6.652344 8.969136
#> [177,] 8.152344 7.302469
#> [178,] 7.402344 8.302469
#> [179,] 8.902344 9.302469
#> [180,] 7.027344 6.746914
#> [181,] 8.527344 7.746914
#> [182,] 7.777344 8.746914
#> [183,] 9.277344 7.080247
#> [184,] 6.839844 8.080247
#> [185,] 8.339844 9.080247
#> [186,] 7.589844 7.413580
#> [187,] 9.089844 8.413580
#> [188,] 7.214844 9.413580
#> [189,] 8.714844 6.561728
#> [190,] 7.964844 7.561728
#> [191,] 9.464844 8.561728
#> [192,] 6.535156 6.895062
#> [193,] 8.035156 7.895062
#> [194,] 7.285156 8.895062
#> [195,] 8.785156 7.228395
#> [196,] 6.910156 8.228395
#> [197,] 8.410156 9.228395
#> [198,] 7.660156 6.672840
#> [199,] 9.160156 7.672840
#> [200,] 6.722656 8.672840
#> [201,] 8.222656 7.006173
#> [202,] 7.472656 8.006173
#> [203,] 8.972656 9.006173
#> [204,] 7.097656 7.339506
#> [205,] 8.597656 8.339506
#> [206,] 7.847656 9.339506
#> [207,] 9.347656 6.783951
#> [208,] 6.628906 7.783951
#> [209,] 8.128906 8.783951
#> [210,] 7.378906 7.117284
#> [211,] 8.878906 8.117284
#> [212,] 7.003906 9.117284
#> [213,] 8.503906 7.450617
#> [214,] 7.753906 8.450617
#> [215,] 9.253906 9.450617
#> [216,] 6.816406 6.598765
#> [217,] 8.316406 7.598765
#> [218,] 7.566406 8.598765
#> [219,] 9.066406 6.932099
#> [220,] 7.191406 7.932099
#> [221,] 8.691406 8.932099
#> [222,] 7.941406 7.265432
#> [223,] 9.441406 8.265432
#> [224,] 6.582031 9.265432
#> [225,] 8.082031 6.709877
#> [226,] 7.332031 7.709877
#> [227,] 8.832031 8.709877
#> [228,] 6.957031 7.043210
#> [229,] 8.457031 8.043210
#> [230,] 7.707031 9.043210
#> [231,] 9.207031 7.376543
#> [232,] 6.769531 8.376543
#> [233,] 8.269531 9.376543
#> [234,] 7.519531 6.820988
#> [235,] 9.019531 7.820988
#> [236,] 7.144531 8.820988
#> [237,] 8.644531 7.154321
#> [238,] 7.894531 8.154321
#> [239,] 9.394531 9.154321
#> [240,] 6.675781 7.487654
#> [241,] 8.175781 8.487654
#> [242,] 7.425781 9.487654
#> [243,] 8.925781 6.504115
#> [244,] 7.050781 7.504115
#> [245,] 8.550781 8.504115
#> [246,] 7.800781 6.837449
#> [247,] 9.300781 7.837449
#> [248,] 6.863281 8.837449
#> [249,] 8.363281 7.170782
#> [250,] 7.613281 8.170782
#> [251,] 9.113281 9.170782
#> [252,] 7.238281 6.615226
#> [253,] 8.738281 7.615226
#> [254,] 7.988281 8.615226
#> [255,] 9.488281 6.948560
#> [256,] 6.505859 7.948560
#> [257,] 8.005859 8.948560
#> [258,] 7.255859 7.281893
#> [259,] 8.755859 8.281893
#> [260,] 6.880859 9.281893
#> [261,] 8.380859 6.726337
#> [262,] 7.630859 7.726337
#> [263,] 9.130859 8.726337
#> [264,] 6.693359 7.059671
#> [265,] 8.193359 8.059671
#> [266,] 7.443359 9.059671
#> [267,] 8.943359 7.393004
#> [268,] 7.068359 8.393004
#> [269,] 8.568359 9.393004
#> [270,] 7.818359 6.541152
#> [271,] 9.318359 7.541152
#> [272,] 6.599609 8.541152
#> [273,] 8.099609 6.874486
#> [274,] 7.349609 7.874486
#> [275,] 8.849609 8.874486
#> [276,] 6.974609 7.207819
#> [277,] 8.474609 8.207819
#> [278,] 7.724609 9.207819
#> [279,] 9.224609 6.652263
#> [280,] 6.787109 7.652263
#> [281,] 8.287109 8.652263
#> [282,] 7.537109 6.985597
#> [283,] 9.037109 7.985597
#> [284,] 7.162109 8.985597
#> [285,] 8.662109 7.318930
#> [286,] 7.912109 8.318930
#> [287,] 9.412109 9.318930
#> [288,] 6.552734 6.763374
#> [289,] 8.052734 7.763374
#> [290,] 7.302734 8.763374
#> [291,] 8.802734 7.096708
#> [292,] 6.927734 8.096708
#> [293,] 8.427734 9.096708
#> [294,] 7.677734 7.430041
#> [295,] 9.177734 8.430041
#> [296,] 6.740234 9.430041
#> [297,] 8.240234 6.578189
#> [298,] 7.490234 7.578189
#> [299,] 8.990234 8.578189
#> [300,] 7.115234 6.911523
#> [301,] 8.615234 7.911523
#> [302,] 7.865234 8.911523
#> [303,] 9.365234 7.244856
#> [304,] 6.646484 8.244856
#> [305,] 8.146484 9.244856
#> [306,] 7.396484 6.689300
#> [307,] 8.896484 7.689300
#> [308,] 7.021484 8.689300
#> [309,] 8.521484 7.022634
#> [310,] 7.771484 8.022634
#> [311,] 9.271484 9.022634
#> [312,] 6.833984 7.355967
#> [313,] 8.333984 8.355967
#> [314,] 7.583984 9.355967
#> [315,] 9.083984 6.800412
#> [316,] 7.208984 7.800412
#> [317,] 8.708984 8.800412
#> [318,] 7.958984 7.133745
#> [319,] 9.458984 8.133745
#> [320,] 6.529297 9.133745
#> [321,] 8.029297 7.467078
#> [322,] 7.279297 8.467078
#> [323,] 8.779297 9.467078
#> [324,] 6.904297 6.516461
#> [325,] 8.404297 7.516461
#> [326,] 7.654297 8.516461
#> [327,] 9.154297 6.849794
#> [328,] 6.716797 7.849794
#> [329,] 8.216797 8.849794
#> [330,] 7.466797 7.183128
#> [331,] 8.966797 8.183128
#> [332,] 7.091797 9.183128
#> [333,] 8.591797 6.627572
#> [334,] 7.841797 7.627572
#> [335,] 9.341797 8.627572
#> [336,] 6.623047 6.960905
#> [337,] 8.123047 7.960905
#> [338,] 7.373047 8.960905
#> [339,] 8.873047 7.294239
#> [340,] 6.998047 8.294239
#> [341,] 8.498047 9.294239
#> [342,] 7.748047 6.738683
#> [343,] 9.248047 7.738683
#> [344,] 6.810547 8.738683
#> [345,] 8.310547 7.072016
#> [346,] 7.560547 8.072016
#> [347,] 9.060547 9.072016
#> [348,] 7.185547 7.405350
#> [349,] 8.685547 8.405350
#> [350,] 7.935547 9.405350
#> [351,] 9.435547 6.553498
#> [352,] 6.576172 7.553498
#> [353,] 8.076172 8.553498
#> [354,] 7.326172 6.886831
#> [355,] 8.826172 7.886831
#> [356,] 6.951172 8.886831
#> [357,] 8.451172 7.220165
#> [358,] 7.701172 8.220165
#> [359,] 9.201172 9.220165
#> [360,] 6.763672 6.664609
#> [361,] 8.263672 7.664609
#> [362,] 7.513672 8.664609
#> [363,] 9.013672 6.997942
#> [364,] 7.138672 7.997942
#> [365,] 8.638672 8.997942
#> [366,] 7.888672 7.331276
#> [367,] 9.388672 8.331276
#> [368,] 6.669922 9.331276
#> [369,] 8.169922 6.775720
#> [370,] 7.419922 7.775720
#> [371,] 8.919922 8.775720
#> [372,] 7.044922 7.109053
#> [373,] 8.544922 8.109053
#> [374,] 7.794922 9.109053
#> [375,] 9.294922 7.442387
#> [376,] 6.857422 8.442387
#> [377,] 8.357422 9.442387
#> [378,] 7.607422 6.590535
#> [379,] 9.107422 7.590535
#> [380,] 7.232422 8.590535
#> [381,] 8.732422 6.923868
#> [382,] 7.982422 7.923868
#> [383,] 9.482422 8.923868
#> [384,] 6.517578 7.257202
#> [385,] 8.017578 8.257202
#> [386,] 7.267578 9.257202
#> [387,] 8.767578 6.701646
#> [388,] 6.892578 7.701646
#> [389,] 8.392578 8.701646
#> [390,] 7.642578 7.034979
#> [391,] 9.142578 8.034979
#> [392,] 6.705078 9.034979
#> [393,] 8.205078 7.368313
#> [394,] 7.455078 8.368313
#> [395,] 8.955078 9.368313
#> [396,] 7.080078 6.812757
#> [397,] 8.580078 7.812757
#> [398,] 7.830078 8.812757
#> [399,] 9.330078 7.146091
#> [400,] 6.611328 8.146091
#> [401,] 8.111328 9.146091
#> [402,] 7.361328 7.479424
#> [403,] 8.861328 8.479424
#> [404,] 6.986328 9.479424
#> [405,] 8.486328 6.528807
#> [406,] 7.736328 7.528807
#> [407,] 9.236328 8.528807
#> [408,] 6.798828 6.862140
#> [409,] 8.298828 7.862140
#> [410,] 7.548828 8.862140
#> [411,] 9.048828 7.195473
#> [412,] 7.173828 8.195473
#> [413,] 8.673828 9.195473
#> [414,] 7.923828 6.639918
#> [415,] 9.423828 7.639918
#> [416,] 6.564453 8.639918
#> [417,] 8.064453 6.973251
#> [418,] 7.314453 7.973251
#> [419,] 8.814453 8.973251
#> [420,] 6.939453 7.306584
#> [421,] 8.439453 8.306584
#> [422,] 7.689453 9.306584
#> [423,] 9.189453 6.751029
#> [424,] 6.751953 7.751029
#> [425,] 8.251953 8.751029
#> [426,] 7.501953 7.084362
#> [427,] 9.001953 8.084362
#> [428,] 7.126953 9.084362
#> [429,] 8.626953 7.417695
#> [430,] 7.876953 8.417695
#> [431,] 9.376953 9.417695
#> [432,] 6.658203 6.565844
#> [433,] 8.158203 7.565844
#> [434,] 7.408203 8.565844
#> [435,] 8.908203 6.899177
#> [436,] 7.033203 7.899177
#> [437,] 8.533203 8.899177
#> [438,] 7.783203 7.232510
#> [439,] 9.283203 8.232510
#> [440,] 6.845703 9.232510
#> [441,] 8.345703 6.676955
#> [442,] 7.595703 7.676955
#> [443,] 9.095703 8.676955
#> [444,] 7.220703 7.010288
#> [445,] 8.720703 8.010288
#> [446,] 7.970703 9.010288
#> [447,] 9.470703 7.343621
#> [448,] 6.541016 8.343621
#> [449,] 8.041016 9.343621
#> [450,] 7.291016 6.788066
#> [451,] 8.791016 7.788066
#> [452,] 6.916016 8.788066
#> [453,] 8.416016 7.121399
#> [454,] 7.666016 8.121399
#> [455,] 9.166016 9.121399
#> [456,] 6.728516 7.454733
#> [457,] 8.228516 8.454733
#> [458,] 7.478516 9.454733
#> [459,] 8.978516 6.602881
#> [460,] 7.103516 7.602881
#> [461,] 8.603516 8.602881
#> [462,] 7.853516 6.936214
#> [463,] 9.353516 7.936214
#> [464,] 6.634766 8.936214
#> [465,] 8.134766 7.269547
#> [466,] 7.384766 8.269547
#> [467,] 8.884766 9.269547
#> [468,] 7.009766 6.713992
#> [469,] 8.509766 7.713992
#> [470,] 7.759766 8.713992
#> [471,] 9.259766 7.047325
#> [472,] 6.822266 8.047325
#> [473,] 8.322266 9.047325
#> [474,] 7.572266 7.380658
#> [475,] 9.072266 8.380658
#> [476,] 7.197266 9.380658
#> [477,] 8.697266 6.825103
#> [478,] 7.947266 7.825103
#> [479,] 9.447266 8.825103
#> [480,] 6.587891 7.158436
#> [481,] 8.087891 8.158436
#> [482,] 7.337891 9.158436
#> [483,] 8.837891 7.491770
#> [484,] 6.962891 8.491770
#> [485,] 8.462891 9.491770
#> [486,] 7.712891 6.508230
#> [487,] 9.212891 7.508230
#> [488,] 6.775391 8.508230
#> [489,] 8.275391 6.841564
#> [490,] 7.525391 7.841564
#> [491,] 9.025391 8.841564
#> [492,] 7.150391 7.174897
#> [493,] 8.650391 8.174897
#> [494,] 7.900391 9.174897
#> [495,] 9.400391 6.619342
#> [496,] 6.681641 7.619342
#> [497,] 8.181641 8.619342
#> [498,] 7.431641 6.952675
#> [499,] 8.931641 7.952675
#> [500,] 7.056641 8.952675

# Generate 500 random draws from a gamma distribution
halton_dists(dist="g", mean=0.5, sdev=1.5, ndraws=500)
#>                [,1]         [,2]
#>   [1,] 5.387871e-03 1.400039e-04
#>   [2,] 1.051188e-05 7.272659e-02
#>   [3,] 2.159419e-01 7.112736e-09
#>   [4,] 2.053097e-08 1.865257e-03
#>   [5,] 4.042444e-02 3.048007e-01
#>   [6,] 4.041437e-04 3.641724e-06
#>   [7,] 1.003354e+00 1.393080e-02
#>   [8,] 4.009955e-11 1.197309e+00
#>   [9,] 1.558385e-02 3.613644e-13
#>  [10,] 7.832065e-05 3.613906e-04
#>  [11,] 4.658141e-01 1.194102e-01
#>  [12,] 7.892795e-07 9.472952e-08
#>  [13,] 9.638454e-02 3.835029e-03
#>  [14,] 1.618685e-03 4.791123e-01
#>  [15,] 2.351775e+00 1.458240e-05
#>  [16,] 7.831943e-14 2.495689e-02
#>  [17,] 9.305027e-03 1.978280e+00
#>  [18,] 3.034273e-05 1.850186e-10
#>  [19,] 3.180878e-01 8.522237e-04
#>  [20,] 1.529676e-07 1.922025e-01
#>  [21,] 6.299389e-02 7.057900e-07
#>  [22,] 8.306763e-04 7.477338e-03
#>  [23,] 1.504214e+00 7.526743e-01
#>  [24,] 1.541561e-09 4.850199e-05
#>  [25,] 2.540128e-02 4.322475e-02
#>  [26,] 1.846799e-04 3.642383e+00
#>  [27,] 6.815175e-01 1.835922e-17
#>  [28,] 3.160473e-06 1.942197e-04
#>  [29,] 1.451928e-01 8.601197e-02
#>  [30,] 3.012676e-03 1.835922e-08
#>  [31,] 4.100289e+00 2.387135e-03
#>  [32,] 1.529676e-16 3.546218e-01
#>  [33,] 7.109553e-03 5.924300e-06
#>  [34,] 1.814017e-05 1.698826e-02
#>  [35,] 2.623438e-01 1.406795e+00
#>  [36,] 5.926279e-08 4.812758e-12
#>  [37,] 5.058685e-02 4.854579e-04
#>  [38,] 5.835933e-04 1.402183e-01
#>  [39,] 1.224438e+00 1.946903e-07
#>  [40,] 2.987649e-10 4.817397e-03
#>  [41,] 1.995938e-02 5.567173e-01
#>  [42,] 1.215021e-04 2.216461e-05
#>  [43,] 5.632889e-01 3.007652e-02
#>  [44,] 1.622146e-06 2.380045e+00
#>  [45,] 1.185081e-01 7.408606e-10
#>  [46,] 2.220109e-03 1.114965e-03
#>  [47,] 3.037306e+00 2.244462e-01
#>  [48,] 3.010862e-12 1.261636e-06
#>  [49,] 1.208540e-02 9.244274e-03
#>  [50,] 4.936126e-05 8.766413e-01
#>  [51,] 3.851054e-01 7.003583e-05
#>  [52,] 3.606897e-07 5.156466e-02
#>  [53,] 7.808598e-02 4.761744e+00
#>  [54,] 1.166742e-03 9.399919e-15
#>  [55,] 1.866495e+00 2.663540e-04
#>  [56,] 6.172796e-09 1.014653e-01
#>  [57,] 3.213423e-02 4.329007e-08
#>  [58,] 2.755332e-04 3.035080e-03
#>  [59,] 8.257945e-01 4.122839e-01
#>  [60,] 5.880596e-06 9.399936e-06
#>  [61,] 1.773182e-01 2.063123e-02
#>  [62,] 4.047681e-03 1.661960e+00
#>  [63,] 6.122663e+00 3.585784e-11
#>  [64,] 2.987649e-19 6.460410e-04
#>  [65,] 6.195663e-03 1.643177e-01
#>  [66,] 1.386616e-05 3.793207e-07
#>  [67,] 2.380803e-01 6.017712e-03
#>  [68,] 3.542990e-08 6.470801e-01
#>  [69,] 4.524980e-02 3.306797e-05
#>  [70,] 4.865602e-04 3.611735e-02
#>  [71,] 1.107654e+00 2.908527e+00
#>  [72,] 1.157476e-10 2.464132e-09
#>  [73,] 1.765091e-02 1.447412e-03
#>  [74,] 9.781214e-05 2.617175e-01
#>  [75,] 5.122316e-01 2.177181e-06
#>  [76,] 1.139698e-06 1.137406e-02
#>  [77,] 1.069252e-01 1.023052e+00
#>  [78,] 1.898314e-03 9.968342e-05
#>  [79,] 2.662131e+00 6.132651e-02
#>  [80,] 5.835252e-13 6.856801e+00
#>  [81,] 1.061434e-02 9.327448e-22
#>  [82,] 3.882831e-05 1.563512e-04
#>  [83,] 3.500494e-01 7.693240e-02
#>  [84,] 2.373030e-07 9.867000e-09
#>  [85,] 7.017379e-02 2.026643e-03
#>  [86,] 9.860480e-04 3.206086e-01
#>  [87,] 1.673045e+00 4.295635e-06
#>  [88,] 3.168252e-09 1.489037e-02
#>  [89,] 2.859079e-02 1.262784e+00
#>  [90,] 2.260798e-04 9.327448e-13
#>  [91,] 7.500030e-01 3.991812e-04
#>  [92,] 4.334230e-06 1.260082e-01
#>  [93,] 1.605140e-01 1.212211e-07
#>  [94,] 3.496244e-03 4.140573e-03
#>  [95,] 4.911928e+00 5.036940e-01
#>  [96,] 5.880590e-15 1.680289e-05
#>  [97,] 8.141599e-03 2.656928e-02
#>  [98,] 2.354746e-05 2.101136e+00
#>  [99,] 2.889371e-01 3.009853e-10
#> [100,] 9.640776e-08 9.329189e-04
#> [101,] 5.648400e-02 2.024352e-01
#> [102,] 6.974639e-04 8.601682e-07
#> [103,] 1.355767e+00 8.029592e-03
#> [104,] 7.044720e-10 7.917764e-01
#> [105,] 2.253389e-02 5.491277e-05
#> [106,] 1.501615e-04 4.585893e-02
#> [107,] 6.195146e-01 3.958032e+00
#> [108,] 2.278262e-06 2.445135e-16
#> [109,] 1.312291e-01 2.160488e-04
#> [110,] 2.589540e-03 9.090711e-02
#> [111,] 3.502465e+00 2.466142e-08
#> [112,] 1.205624e-11 2.587914e-03
#> [113,] 1.373558e-02 3.729110e-01
#> [114,] 6.236149e-05 6.928120e-06
#> [115,] 4.235741e-01 1.813300e-02
#> [116,] 5.381213e-07 1.486139e+00
#> [117,] 8.679829e-02 9.891292e-12
#> [118,] 1.376301e-03 5.345151e-04
#> [119,] 2.090181e+00 1.478628e-01
#> [120,] 1.148553e-08 2.445135e-07
#> [121,] 3.606623e-02 5.191370e-03
#> [122,] 3.343793e-04 5.853100e-01
#> [123,] 9.098613e-01 2.537688e-05
#> [124,] 7.899244e-06 3.198099e-02
#> [125,] 1.957436e-01 2.539323e+00
#> [126,] 4.675203e-03 1.126074e-09
#> [127,] 8.337114e+00 1.217317e-03
#> [128,] 5.835252e-22 2.362752e-01
#> [129,] 5.779215e-03 1.518895e-06
#> [130,] 1.208595e-05 9.910908e-03
#> [131,] 2.267574e-01 9.227166e-01
#> [132,] 2.708227e-08 7.890273e-05
#> [133,] 4.277603e-02 5.465052e-02
#> [134,] 4.436533e-04 5.292806e+00
#> [135,] 1.054056e+00 3.763962e-14
#> [136,] 6.919901e-11 2.952110e-04
#> [137,] 1.658866e-02 1.071527e-01
#> [138,] 8.758554e-05 5.663346e-08
#> [139,] 4.884732e-01 3.283436e-03
#> [140,] 9.502205e-07 4.334686e-01
#> [141,] 1.015303e-01 1.090768e-05
#> [142,] 1.753549e-03 2.199207e-02
#> [143,] 2.500009e+00 1.759638e+00
#> [144,] 2.260696e-13 6.409774e-11
#> [145,] 9.940489e-03 7.092022e-04
#> [146,] 3.435329e-05 1.731655e-01
#> [147,] 3.337003e-01 4.687907e-07
#> [148,] 1.910356e-07 6.473216e-03
#> [149,] 6.649632e-02 6.804465e-01
#> [150,] 9.054030e-04 3.763990e-05
#> [151,] 1.585843e+00 3.836023e-02
#> [152,] 2.225972e-09 3.124601e+00
#> [153,] 2.695384e-02 3.558139e-09
#> [154,] 2.044501e-04 1.576350e-03
#> [155,] 7.149015e-01 2.753903e-01
#> [156,] 3.706241e-06 2.592944e-06
#> [157,] 1.526761e-01 1.217544e-02
#> [158,] 3.246459e-03 1.077728e+00
#> [159,] 4.471648e+00 1.117935e-04
#> [160,] 1.139698e-15 6.493299e-02
#> [161,] 7.610009e-03 8.165237e+00
#> [162,] 2.068727e-05 4.775653e-19
#> [163,] 2.753356e-01 1.743736e-04
#> [164,] 7.583595e-08 8.135738e-02
#> [165,] 5.346223e-02 1.353147e-08
#> [166,] 6.382744e-04 2.200331e-03
#> [167,] 1.288138e+00 3.372021e-01
#> [168,] 4.634824e-10 5.051909e-06
#> [169,] 2.121176e-02 1.590848e-02
#> [170,] 1.351580e-04 1.332486e+00
#> [171,] 5.907196e-01 2.199363e-12
#> [172,] 1.925496e-06 4.404449e-04
#> [173,] 1.247200e-01 1.329390e-01
#> [174,] 2.398505e-03 1.541045e-07
#> [175,] 3.256531e+00 4.467592e-03
#> [176,] 6.187993e-12 5.295380e-01
#> [177,] 1.288695e-02 1.931900e-05
#> [178,] 5.552403e-05 2.827425e-02
#> [179,] 4.038918e-01 2.234571e+00
#> [180,] 4.415423e-07 4.775653e-10
#> [181,] 8.233766e-02 1.020337e-03
#> [182,] 1.267676e-03 2.131749e-01
#> [183,] 1.974137e+00 1.043863e-06
#> [184,] 8.465285e-09 8.617887e-03
#> [185,] 3.404938e-02 8.330490e-01
#> [186,] 3.036914e-04 6.206599e-05
#> [187,] 8.667263e-01 4.863657e-02
#> [188,] 6.823838e-06 4.325562e+00
#> [189,] 1.863192e-01 1.821767e-15
#> [190,] 4.351386e-03 2.400323e-04
#> [191,] 7.021945e+00 9.605421e-02
#> [192,] 1.148553e-17 3.281804e-08
#> [193,] 6.638619e-03 2.803576e-03
#> [194,] 1.587575e-05 3.921154e-01
#> [195,] 2.499341e-01 8.080377e-06
#> [196,] 4.599091e-08 1.934613e-02
#> [197,] 4.785144e-02 1.571008e+00
#> [198,] 5.331172e-04 1.927148e-11
#> [199,] 1.164367e+00 5.879310e-04
#> [200,] 1.882964e-10 1.558899e-01
#> [201,] 1.877348e-02 3.053638e-07
#> [202,] 1.090867e-04 5.590966e-03
#> [203,] 5.371489e-01 6.154007e-01
#> [204,] 1.362045e-06 2.899650e-05
#> [205,] 1.125806e-01 3.399281e-02
#> [206,] 2.053613e-03 2.714581e+00
#> [207,] 2.840323e+00 1.680016e-09
#> [208,] 1.375922e-12 1.327939e-03
#> [209,] 1.132860e-02 2.486894e-01
#> [210,] 4.381419e-05 1.821768e-06
#> [211,] 3.671716e-01 1.062005e-02
#> [212,] 2.932755e-07 9.714542e-01
#> [213,] 7.403425e-02 8.875382e-05
#> [214,] 1.073018e-03 5.790181e-02
#> [215,] 1.766380e+00 5.963120e+00
#> [216,] 4.449728e-09 1.251909e-13
#> [217,] 3.031617e-02 3.268145e-04
#> [218,] 2.497203e-04 1.131298e-01
#> [219,] 7.869287e-01 7.351488e-08
#> [220,] 5.055081e-06 3.549711e-03
#> [221,] 1.687224e-01 4.557250e-01
#> [222,] 3.762984e-03 1.262668e-05
#> [223,] 5.447435e+00 2.343259e-02
#> [224,] 2.354735e-14 1.864788e+00
#> [225,] 8.706015e-03 1.106122e-10
#> [226,] 2.675390e-05 7.777949e-04
#> [227,] 3.031776e-01 1.824533e-01
#> [228,] 1.217983e-07 5.765500e-07
#> [229,] 5.965889e-02 6.959166e-03
#> [230,] 7.614840e-04 7.156061e-01
#> [231,] 1.427665e+00 4.276532e-05
#> [232,] 1.051018e-09 4.072732e-02
#> [233,] 2.392920e-02 3.367254e+00
#> [234,] 1.666278e-04 5.064341e-09
#> [235,] 6.497523e-01 1.715402e-03
#> [236,] 2.687349e-06 2.897399e-01
#> [237,] 1.380487e-01 3.077839e-06
#> [238,] 2.793990e-03 1.302677e-02
#> [239,] 3.781027e+00 1.135724e+00
#> [240,] 2.243267e-11 1.251940e-04
#> [241,] 1.463370e-02 6.872997e-02
#> [242,] 6.993740e-05 1.051016e+01
#> [243,] 4.441985e-01 4.738835e-26
#> [244,] 6.530409e-07 1.452756e-04
#> [245,] 9.147730e-02 7.410480e-02
#> [246,] 1.493125e-03 7.943213e-09
#> [247,] 2.215653e+00 1.917734e-03
#> [248,] 1.542819e-08 3.099851e-01
#> [249,] 3.818958e-02 3.849110e-06
#> [250,] 3.677935e-04 1.424434e-02
#> [251,] 9.553492e-01 1.218686e+00
#> [252,] 9.122741e-06 5.012955e-13
#> [253,] 2.056111e-01 3.736179e-04
#> [254,] 5.020293e-03 1.215735e-01
#> [255,] 1.069115e+01 1.029224e-07
#> [256,] 1.139698e-24 3.934569e-03
#> [257,] 5.580490e-03 4.871702e-01
#> [258,] 1.127452e-05 1.529168e-05
#> [259,] 2.212877e-01 2.548435e-02
#> [260,] 2.360532e-08 2.018136e+00
#> [261,] 4.158531e-02 2.182407e-10
#> [262,] 4.234891e-04 8.784038e-04
#> [263,] 1.028356e+00 1.955585e-01
#> [264,] 5.289506e-11 7.542612e-07
#> [265,] 1.607925e-02 7.657541e-03
#> [266,] 8.283802e-05 7.654759e-01
#> [267,] 4.770098e-01 5.056075e-05
#> [268,] 8.664337e-07 4.408729e-02
#> [269,] 9.892694e-02 3.742619e+00
#> [270,] 1.684918e-03 4.738835e-17
#> [271,] 2.424275e+00 2.012675e-04
#> [272,] 1.351543e-13 8.761640e-02
#> [273,] 9.618083e-03 2.027889e-08
#> [274,] 3.229271e-05 2.452465e-03
#> [275,] 3.258042e-01 3.606194e-01
#> [276,] 1.710625e-07 6.243500e-06
#> [277,] 6.472371e-02 1.736246e-02
#> [278,] 8.673244e-04 1.432660e+00
#> [279,] 1.544364e+00 6.158672e-12
#> [280,] 1.855899e-09 5.013458e-04
#> [281,] 2.616726e-02 1.427251e-01
#> [282,] 1.943417e-04 2.101888e-07
#> [283,] 6.980012e-01 4.939299e-03
#> [284,] 3.423702e-06 5.660871e-01
#> [285,] 1.488911e-01 2.319270e-05
#> [286,] 3.127625e-03 3.069974e-02
#> [287,] 4.278567e+00 2.431506e+00
#> [288,] 4.415422e-16 8.536725e-10
#> [289,] 7.355992e-03 1.148198e-03
#> [290,] 1.937655e-05 2.283259e-01
#> [291,] 2.687652e-01 1.342715e-06
#> [292,] 6.709581e-08 9.461905e-03
#> [293,] 5.200665e-02 8.917153e-01
#> [294,] 6.103897e-04 7.288763e-05
#> [295,] 1.255816e+00 5.257538e-02
#> [296,] 3.731164e-10 4.926529e+00
#> [297,] 2.057706e-02 1.529164e-14
#> [298,] 1.281684e-04 2.756812e-04
#> [299,] 5.768384e-01 1.033297e-01
#> [300,] 1.768046e-06 4.738835e-08
#> [301,] 1.215777e-01 3.115941e-03
#> [302,] 2.307775e-03 4.192299e-01
#> [303,] 3.143887e+00 9.880515e-06
#> [304,] 4.347602e-12 2.107624e-02
#> [305,] 1.248044e-02 1.693737e+00
#> [306,] 5.236210e-05 4.370107e-11
#> [307,] 3.943894e-01 6.665151e-04
#> [308,] 3.993004e-07 1.672193e-01
#> [309,] 8.018627e-02 4.072912e-07
#> [310,] 1.216278e-03 6.166270e-03
#> [311,] 1.919324e+00 6.580097e-01
#> [312,] 7.238746e-09 3.453382e-05
#> [313,] 3.307939e-02 3.685155e-02
#> [314,] 2.893079e-04 2.977898e+00
#> [315,] 8.459939e-01 2.789827e-09
#> [316,] 6.336633e-06 1.489308e-03
#> [317,] 1.817669e-01 2.662019e-01
#> [318,] 4.197090e-03 2.308651e-06
#> [319,] 6.536275e+00 1.163580e-02
#> [320,] 2.225972e-18 1.040924e+00
#> [321,] 6.413737e-03 1.035837e-04
#> [322,] 1.484075e-05 6.250805e-02
#> [323,] 2.439393e-01 7.231360e+00
#> [324,] 4.040466e-08 1.242257e-20
#> [325,] 4.653427e-02 1.621654e-04
#> [326,] 5.093660e-04 7.838253e-02
#> [327,] 1.135607e+00 1.097594e-08
#> [328,] 1.481171e-10 2.083133e-03
#> [329,] 1.820447e-02 3.260505e-01
#> [330,] 1.033128e-04 4.535704e-06
#> [331,] 5.245415e-01 1.522308e-02
#> [332,] 1.246471e-06 1.285531e+00
#> [333,] 1.097196e-01 1.252930e-12
#> [334,] 1.974606e-03 4.125366e-04
#> [335,] 2.749063e+00 1.282807e-01
#> [336,] 9.052391e-13 1.314116e-07
#> [337,] 1.096629e-02 4.247130e-03
#> [338,] 4.125434e-05 5.121649e-01
#> [339,] 3.585115e-01 1.760714e-05
#> [340,] 2.639733e-07 2.712709e-02
#> [341,] 7.208063e-02 2.144372e+00
#> [342,] 1.028716e-03 3.519845e-10
#> [343,] 1.718908e+00 9.612880e-04
#> [344,] 3.760733e-09 2.059576e-01
#> [345,] 2.944216e-02 9.179200e-07
#> [346,] 2.376389e-04 8.221587e-03
#> [347,] 7.682308e-01 8.052857e-01
#> [348,] 4.682339e-06 5.721115e-05
#> [349,] 1.645708e-01 4.676853e-02
#> [350,] 3.627433e-03 4.074088e+00
#> [351,] 5.165579e+00 5.025297e-16
#> [352,] 1.208592e-14 2.237952e-04
#> [353,] 8.419595e-03 9.259423e-02
#> [354,] 2.510521e-05 2.715328e-08
#> [355,] 2.959756e-01 2.658101e-03
#> [356,] 1.084442e-07 3.792084e-01
#> [357,] 5.805187e-02 7.294821e-06
#> [358,] 7.288492e-04 1.852960e-02
#> [359,] 1.391160e+00 1.513789e+00
#> [360,] 8.623872e-10 1.242257e-11
#> [361,] 2.322218e-02 5.518199e-04
#> [362,] 1.582043e-04 1.504951e-01
#> [363,] 6.344479e-01 2.634753e-07
#> [364,] 2.475303e-06 5.321648e-03
#> [365,] 1.345992e-01 5.951695e-01
#> [366,] 2.690038e-03 2.653604e-05
#> [367,] 3.637224e+00 3.263941e-02
#> [368,] 1.653376e-11 2.595846e+00
#> [369,] 1.417830e-02 1.289273e-09
#> [370,] 6.605296e-05 1.253244e-03
#> [371,] 4.337655e-01 2.403469e-01
#> [372,] 5.931114e-07 1.614459e-06
#> [373,] 8.910989e-02 1.014245e-02
#> [374,] 1.433655e-03 9.386573e-01
#> [375,] 2.151667e+00 8.207257e-05
#> [376,] 1.332779e-08 5.571552e-02
#> [377,] 3.711428e-02 5.497766e+00
#> [378,] 3.507328e-04 5.721049e-14
#> [379,] 9.323012e-01 3.054295e-04
#> [380,] 8.491424e-06 1.091123e-01
#> [381,] 2.006207e-01 6.183104e-08
#> [382,] 4.845014e-03 3.370149e-03
#> [383,] 9.299480e+00 4.407655e-01
#> [384,] 2.243267e-20 1.145600e-05
#> [385,] 5.984215e-03 2.246319e-02
#> [386,] 1.294889e-05 1.793818e+00
#> [387,] 2.323540e-01 7.716783e-11
#> [388,] 3.100722e-08 7.314434e-04
#> [389,] 4.399729e-02 1.762115e-01
#> [390,] 4.646667e-04 5.025297e-07
#> [391,] 1.080480e+00 6.631731e-03
#> [392,] 8.982600e-11 6.919616e-01
#> [393,] 1.711243e-02 3.928412e-05
#> [394,] 9.257338e-05 3.913516e-02
#> [395,] 5.002114e-01 3.202276e+00
#> [396,] 1.041134e-06 4.008611e-09
#> [397,] 1.041959e-01 1.621543e-03
#> [398,] 1.824655e-03 2.800966e-01
#> [399,] 2.579209e+00 2.746431e-06
#> [400,] 3.677664e-13 1.245353e-02
#> [401,] 1.027249e-02 1.096678e+00
#> [402,] 3.652993e-05 1.161112e-04
#> [403,] 3.417805e-01 6.617704e-02
#> [404,] 2.130554e-07 8.769904e+00
#> [405,] 6.831268e-02 1.912291e-18
#> [406,] 9.449609e-04 1.807787e-04
#> [407,] 1.628714e+00 8.288287e-02
#> [408,] 2.660243e-09 1.499739e-08
#> [409,] 2.776152e-02 2.261101e-03
#> [410,] 2.150233e-04 3.429148e-01
#> [411,] 7.322311e-01 5.329081e-06
#> [412,] 4.009319e-06 1.626140e-02
#> [413,] 1.565497e-01 1.356724e+00
#> [414,] 3.369293e-03 2.877278e-12
#> [415,] 4.681820e+00 4.550184e-04
#> [416,] 2.687347e-15 1.353259e-01
#> [417,] 7.871808e-03 1.667063e-07
#> [418,] 2.207622e-05 4.581595e-03
#> [419,] 2.820583e-01 5.384456e-01
#> [420,] 8.557384e-08 2.022916e-05
#> [421,] 5.495440e-02 2.886396e-02
#> [422,] 6.672859e-04 2.281645e+00
#> [423,] 1.321441e+00 5.541662e-10
#> [424,] 5.728036e-10 1.051054e-03
#> [425,] 2.186389e-02 2.168717e-01
#> [426,] 1.424843e-04 1.112415e-06
#> [427,] 6.049418e-01 8.822346e-03
#> [428,] 2.095289e-06 8.473143e-01
#> [429,] 1.279366e-01 6.462803e-05
#> [430,] 2.492395e-03 4.959553e-02
#> [431,] 3.375830e+00 4.462283e+00
#> [432,] 8.690876e-12 3.256502e-15
#> [433,] 1.330523e-02 2.485370e-04
#> [434,] 5.885455e-05 9.782796e-02
#> [435,] 4.136181e-01 3.602609e-08
#> [436,] 4.877106e-07 2.878935e-03
#> [437,] 8.454127e-02 3.987286e-01
#> [438,] 1.320996e-03 8.500653e-06
#> [439,] 2.031049e+00 1.976631e-02
#> [440,] 9.873196e-09 1.600619e+00
#> [441,] 3.504480e-02 2.381703e-11
#> [442,] 3.187071e-04 6.067622e-04
#> [443,] 8.880094e-01 1.586537e-01
#> [444,] 7.344061e-06 3.284481e-07
#> [445,] 1.909773e-01 5.730120e-03
#> [446,] 4.510710e-03 6.257793e-01
#> [447,] 7.606904e+00 3.030114e-05
#> [448,] 4.599091e-17 3.468820e-02
#> [449,] 6.870494e-03 2.777000e+00
#> [450,] 1.697442e-05 1.912291e-09
#> [451,] 2.560679e-01 1.366751e-03
#> [452,] 5.225343e-08 2.529624e-01
#> [453,] 4.920204e-02 1.934035e-06
#> [454,] 5.578479e-04 1.086628e-02
#> [455,] 1.193967e+00 9.883253e-01
#> [456,] 2.378872e-10 9.227232e-05
#> [457,] 1.935832e-02 5.902370e-02
#> [458,] 1.151457e-04 6.230090e+00
#> [459,] 5.500619e-01 1.807722e-13
#> [460,] 1.487047e-06 3.379979e-04
#> [461,] 1.155096e-01 1.151889e-01
#> [462,] 2.135418e-03 8.006161e-08
#> [463,] 2.936270e+00 3.642644e-03
#> [464,] 2.052769e-12 4.633920e-01
#> [465,] 1.170155e-02 1.325095e-05
#> [466,] 4.651427e-05 2.393117e-02
#> [467,] 3.760346e-01 1.901645e+00
#> [468,] 3.254340e-07 1.317351e-10
#> [469,] 7.603567e-02 8.019353e-04
#> [470,] 1.119007e-03 1.856507e-01
#> [471,] 1.815546e+00 6.170728e-07
#> [472,] 5.248725e-09 7.128220e-03
#> [473,] 3.121334e-02 7.277441e-01
#> [474,] 2.623447e-04 4.460663e-05
#> [475,] 8.061115e-01 4.154500e-02
#> [476,] 5.453970e-06 3.455010e+00
#> [477,] 1.729708e-01 5.679569e-09
#> [478,] 3.903024e-03 1.764118e-03
#> [479,] 5.763663e+00 2.946794e-01
#> [480,] 4.381381e-14 3.256504e-06
#> [481,] 9.001083e-03 1.332212e-02
#> [482,] 2.849814e-05 1.155839e+00
#> [483,] 3.105470e-01 1.299679e-04
#> [484,] 1.365946e-07 7.003953e-02
#> [485,] 6.130593e-02 1.193324e+01
#> [486,] 7.954115e-04 2.426283e-23
#> [487,] 1.465333e+00 1.507230e-04
#> [488,] 1.275470e-09 7.550661e-02
#> [489,] 2.465542e-02 8.858789e-09
#> [490,] 1.754476e-04 1.971520e-03
#> [491,] 6.654384e-01 3.152539e-01
#> [492,] 2.915390e-06 4.066928e-06
#> [493,] 1.415793e-01 1.456416e-02
#> [494,] 2.901501e-03 1.240507e+00
#> [495,] 3.934955e+00 6.874696e-13
#> [496,] 3.013318e-11 3.862115e-04
#> [497,] 1.510211e-02 1.237726e-01
#> [498,] 7.402360e-05 1.117392e-07
#> [499,] 4.548792e-01 4.036402e-03
#> [500,] 7.182939e-07 4.953633e-01