draw.laplace: Generates variates from Laplace distribution

Description Usage Arguments Value Examples

View source: R/draw.laplace.R

Description

This function implements pseudo-random number generation for a Laplace (double exponential) distribution with pdf

f(x|λ,α)=\frac{λ}{2}e^{-λ|x-α|}

for lambda>0 where alpha and lambda are the location and scale parameters, respectively.

Usage

1
draw.laplace(nrep, alpha, lambda)

Arguments

nrep

Number of data points to generate.

alpha

Location parameter for the desired Laplace distribution.

lambda

Scale parameter for the desired Laplace distribution.

Value

A list of length five containing generated data, the theoretical mean, the empirical mean, the theoretical variance, and the empirical variance with names y, theo.mean, emp.mean, theo.var, and emp.var, respectively.

Examples

1
2
3
draw.laplace(nrep=100000, alpha=4, lambda=2)

draw.laplace(nrep=100000, alpha=-5, lambda=4)

Example output

$y
     [1]  4.079356128  3.826856463  4.564202816  4.203304980  3.783472216
     [6]  4.019088983  4.149464291  4.109154847  2.940419336  5.418032858
    [11]  2.228270267  4.228422619  4.464127399  4.240859706  4.304646409
    [16]  3.712135374  3.811951379  4.745816707  3.838060748  4.000409278
    [21]  3.671362621  4.866263110  3.818297376  3.955370912  3.926177889
    [26]  3.385178154  4.228365984  3.859236771  4.439381434  3.900613570
    [31]  6.513094363  4.565728462  4.659060533  3.579808926  2.783610496
    [36]  4.577302168  3.919676848  3.748633179  4.224202768  3.806704909
    [41]  4.428457691  4.152468458  0.203494081  3.552866258  4.085677060
    [46]  4.063590946  3.697995867  3.839528751  3.407535391  4.063938232
    [51]  4.058069480  4.403967187  3.383782113  3.366153283  3.193968664
    [56]  3.823689963  3.759742428  3.045784476  2.980110414  3.501045673
    [61]  4.450564667  4.980422945  3.040873783  2.723052635  4.246121808
    [66]  4.711555443  4.234625672  4.083818699  4.712233504  3.593349127
    [71]  4.543308634  4.334703628  3.361369641  4.254383721  3.309358988
    [76]  4.170643633  3.981548473  4.644383088  3.651687366  3.861100471
    [81]  4.130802876  3.772321110  4.112451051  4.044486300  3.675749871
    [86]  3.877137928  3.911489348  3.698073150  6.684958749  3.350858383
    [91]  3.070213388  4.151542894  3.853569729  4.016806878  4.270865510
    [96]  3.776003278  3.066541799  4.466749687  3.886800514  4.757787933
   [101]  5.191463367  4.960867660  3.593503712  3.970599860  3.751907830
   [106]  4.014968604  3.920533770  4.214000657  4.158222202  3.569666395
   [111]  3.229062802  2.454041833  3.760615075  3.847222578  4.452139277
   [116]  4.072477276  4.228474827  3.956605225  3.165408940  5.133938128
   [121]  4.109854561  3.802985619  4.043180857  3.677999816  3.862877753
   [126]  3.983073469  5.467309344  5.056483965  4.359792336  4.909169871
   [131]  3.914741846  3.789608893  4.128543460  4.238676479  3.423196888
   [136]  4.433186844  4.234746550  4.572938746  4.472704694  3.397298152
   [141]  3.146059628  4.578203626  3.869564024  3.764159631  3.712134000
   [146]  3.950084385  3.377444655  3.613756165  3.828758606  4.794500344
   [151]  3.682020351  2.400237813  3.460928246  5.314309035  4.042799931
   [156]  4.625714354  3.293708385  1.693884930  4.265639013  3.430211260
   [161]  3.546885561  4.176041301  3.528424718  4.138311147  3.510777982
   [166]  4.244647496  3.912081099  2.519748803  3.396409806  4.805836055
   [171]  4.050347712  3.575061388  3.972184058  4.296768705  3.337833229
   [176]  3.643443257  3.744485232  3.698586985  5.205940642  3.945226870
   [181]  4.720112324  4.094993070  4.067694807  4.551962844  3.403356207
   [186]  3.603058738  4.042137048  4.306857137  4.193909139  4.115886152
   [191]  4.782731694  4.515392894  4.151515448  4.726836040  5.240142480
   [196]  3.463249169  2.660377537  5.618636288  4.097779768  5.326861304
   [201]  3.747963327  3.314403952  3.966343011  4.704949156  4.014373186
   [206]  2.643023358  3.849116736  5.451539479  4.479894074  3.911324748
   [211]  5.112987501  3.447202681  4.479647940  3.694284842  4.331958744
   [216]  3.543350058  4.472468999  3.632621455  3.819008601  4.821977413
   [221]  3.952086095  2.138362249  4.736407417  3.677682676  4.668192621
   [226]  3.849773507  4.957258721  3.986191814  3.808630314  4.071278492
   [231]  3.658152989  5.908004767  4.118454586  6.239031473  3.876994259
   [236]  3.828408845  4.192786035  5.693013165  4.381681410  4.014556003
   [241]  3.934719545  4.984838697  4.637097528  3.670020461  3.933597910
   [246]  3.765863441  3.518576792  4.314658780  5.403555596  3.631126036
   [251]  3.857954800  4.115467507  4.028623627  4.193728848  3.974310641
   [256]  3.896591135  3.685924549  4.126230900  4.844346358  5.610962269
   [261]  1.830338761  3.965177611  4.624218618  3.673798764  3.950210525
   [266]  4.146693819  4.084543135  4.152493260  4.021234662  3.248064091
   [271]  4.125176393  4.669920936  3.868195353  3.934972374  4.160697839
   [276]  3.167210461  4.284889324  4.102894512  3.456409596  4.293749535
   [281]  4.064825559  4.400885249  3.539294654  4.203851492  4.330802381
   [286]  4.259701088  4.632510285  3.362767021  4.454431384  4.823903987
   [291]  3.588800721  4.367426918  4.176674715  3.396735751  4.097981842
   [296]  4.038379862  4.748427073  4.265512820  3.201012779  5.352657170
   [301]  3.851056395  3.989048522  3.809546940  4.271950952  3.596417678
   [306]  3.776385164  3.748719985  3.758852017  3.733760066  4.096315689
   [311]  2.388581589  3.853787676  3.020850532  3.662023450  2.755317762
   [316]  3.437487530  5.276620224  3.594131568  3.811637796  3.883458809
   [321]  4.669657985  3.777905216  2.555397421  3.958883350  3.324132478
   [326]  2.945494028  4.053823969  4.855330859  4.169393771  3.919273318
   [331]  3.911288941  3.697992578  4.033936385  3.026519197  4.506005619
   [336]  4.861143763  3.601751005  4.406364839  3.794202426  5.204726270
   [341]  3.308290128  3.753428310  4.386970804  4.524091726  4.171027524
   [346]  4.154122426  4.037392185  4.529091336  2.585665664  4.726348046
   [351]  4.480337860  4.450573637  3.341106621  4.393212002  4.146949494
   [356]  3.410182887  3.637612096  4.151565928  3.426977752  3.993824365
   [361]  4.147641050  3.028253779  3.481376257  4.101870088  3.929209095
   [366]  3.676233916  4.155663482  4.010402079  3.765817920  3.759173798
   [371]  3.433117196  3.426857427  3.764339618  3.783226314  4.515890764
   [376]  4.121698267  4.797595039  3.441666173  3.990391389  4.182352051
   [381]  4.337876049  4.382650207  4.191295360  4.094591025  4.336010049
   [386]  6.271014655  4.009548678  3.911901611  4.361352405  4.235537310
   [391]  4.102684531  2.944685713  4.191459606  4.217623977  3.429526459
   [396]  4.500402827  3.585978538  3.755342058  4.103835110  2.820102501
   [401]  5.266435443  4.070531722  3.848838381  4.330324339  4.935227329
   [406]  3.742400137  4.180495637  3.951435621  4.150907536  4.156263333
   [411]  4.748660558  3.546711798  3.288078356  3.834627890  3.825169567
   [416]  1.853981501  3.705998535  3.996366127  3.755184141  3.844866004
   [421]  3.970340741  4.561350300  4.242398361  3.568222977  3.361845831
   [426]  3.646279703  4.037645951  3.556877998  3.372294457  1.498836959
   [431]  2.849918758  5.343651420  5.058357942  4.109660855  5.094395769
   [436]  3.475486253  4.246541986  3.936191533  3.852993005  4.838235608
   [441]  4.271871576  4.053516135  3.076377183  3.426678226  4.348773940
   [446]  4.685705371  3.633173280  3.597811779  3.595177321  3.770334436
   [451]  3.552298406  3.514493395  4.716939571  4.367998888  5.112174964
   [456]  3.899990440  3.946320223  4.216650509  3.252048492  3.974487818
   [461]  3.969761014  3.697487599  4.395858306  3.958289116  4.602924613
   [466]  4.588393040  4.091143093  3.877038079  3.710990512  3.949211511
   [471]  4.268626399  3.969754275  3.451504501  4.321768155  6.107891563
   [476]  3.542491827  4.062430694  3.394998099  2.982810644  4.195101339
   [481]  4.294968659  4.108577325  3.640947414  4.702885974  3.869956285
   [486]  3.493189938  3.979493100  3.620445289  2.780524892  3.655861300
   [491]  4.365676365  2.499430660  3.958001608  2.364520989  3.887902367
   [496]  3.830223537  4.428966621  4.110587955  2.970295601  3.968794625
   [501]  4.062345774  4.613519254  3.421555009  4.014001453  2.863903171
   [506]  5.834915998  4.094762313  5.270320580  5.012342270  3.939629006
   [511]  4.199620307  4.139824427  2.156741907  4.065275682  3.163561382
   [516]  3.942655925  5.376626351  3.984350833  4.303982556  3.946725594
   [521]  4.023730818  5.108036640  3.830191193  3.731829380  3.910495381
   [526]  3.956410548  4.274938716  3.666294925  3.394622040  1.533903069
   [531]  4.016980161  4.194666750  3.638924121  4.150210972  3.950078818
   [536]  3.951942085  3.833598627  5.805862510  3.278504403  3.841485249
   [541]  4.750894984  5.382503760  5.275536309  3.739289059  4.446899347
   [546]  4.838649324  3.572678148  4.000582928  5.061975255  4.117726002
   [551]  4.269530552  4.142813838  4.294208761  3.693567842  3.852576246
   [556]  4.419889606  4.430836739  3.515888461  4.374320009  2.932376769
   [561]  3.322734476  4.282356730  3.822358283  3.065457672  3.311638176
   [566]  3.896543445  3.680941819  4.483782360  5.270047153  4.589333289
   [571]  2.990786474  3.114290552  4.658393898  4.414768372  4.512588123
   [576]  3.580809437  2.247338844  3.021055158  2.151672855  3.773738819
   [581]  4.190825308  3.645317835  1.429363058  4.394157965  5.073349914
   [586]  3.996277982  4.020318453  3.520278570  3.893142591  5.371683103
   [591]  4.608132245  4.306142993  2.583904773  3.453887574  3.931860049
   [596]  4.787138850  3.086445856  4.008146869  4.284092396  4.001405817
   [601]  4.270016173  3.789582573  4.681864782  4.991181729  4.021304541
   [606]  4.240205890  4.013512436  3.846078465  4.342773130  3.686415399
   [611]  4.454023586  4.060225878  4.248962582  3.686479435  4.702712376
   [616]  5.268662288  4.419232703  3.755078976  4.458452128  3.496495142
   [621]  3.480113817  4.179923955  3.681737604  4.170359001  3.503679035
   [626]  4.148669736  3.840179771  3.023903439  3.684905470  3.563638797
   [631]  4.767571508  4.115937216  4.349883069  3.891146627  4.298633196
   [636]  3.297879563  4.553233278  3.991860710  3.529043147  3.543275159
   [641]  4.634175568  4.323781769  4.010416142  3.886059696  4.178193752
   [646]  3.251572046  3.955733013  3.994414276  4.133491895  4.592529610
   [651]  3.734188101  3.757969107  2.723539648  3.813049036  3.892992049
   [656]  3.814920839  3.086025224  3.350960223  4.652129199  4.519063173
   [661]  3.647110630  4.603750227  3.807354136  5.296635159  4.397588438
   [666]  4.526241077  4.695063927  5.243964421  3.652484393  3.909957926
   [671]  5.302215795  3.114906399  2.602306265  3.523642071  4.786327736
   [676]  4.066337546  4.301622954  3.989059472  3.892950083  3.860098946
   [681]  3.922038670  3.802717523  6.509814494  3.777864264  4.087045106
   [686]  2.938724852  4.434773194  3.887370627  3.164854939  5.250482642
   [691]  4.580233821  3.752069495  3.797979880  3.639058704  3.733228065
   [696]  4.680758225  3.785746391  4.166037672  4.590247318  3.733940091
   [701]  3.759224963  4.211911381  4.419093655  4.597666938  4.408936710
   [706]  3.172344498  3.921020133  5.701741803  2.456820265  4.225346396
   [711]  3.946455175  4.284731129  4.028191250  3.359254863  2.825265462
   [716]  5.439300815  3.816846556  2.417261779  3.858311383  3.083120596
   [721]  3.850038919  3.819422049  3.754521117  3.853820173  4.665652578
   [726]  5.142842646  3.125104658  4.979681511  3.971260665  3.630363195
   [731]  2.259195698  3.524987036  4.267398405  5.296235538  4.091104176
   [736]  3.189390697  3.663066782  3.991601065  4.238048747  4.317491921
   [741]  3.814906657  3.921138563  3.953336591  5.048074913  4.513599708
   [746]  4.165376587  2.880214389  4.665344577  2.628875275  4.123011183
   [751]  3.651123335  3.701801092  4.330280877  4.046784913  4.061043562
   [756]  4.504964871  1.568378503  3.355156457  4.254758089  4.937068789
   [761]  5.946031223  5.138086523  3.921512555  3.808372442  4.666614517
   [766]  5.516616475  3.862789751  4.465752810  5.350873920  3.664024719
   [771]  4.053680914  4.361030347  4.002776411  3.650383099  5.118371849
   [776]  2.916354641  4.072946280  3.290923189  4.014977558  3.955574693
   [781]  4.208431639  3.346797057  2.703921859  4.579156769  3.684517581
   [786]  3.742520856  3.637750576  4.987509480  3.878763579  4.096536871
   [791]  4.423644532  0.537257918  3.879898994  4.267691477  4.334790811
   [796]  4.043174220  4.402142852  2.828533602  3.957625742  3.957030809
   [801]  3.651382877  4.039335485  3.873539721  4.222235429  3.767323570
   [806]  4.411147882  2.628329213  4.103877955  4.904170142  4.108702782
   [811]  4.235258086  3.979191917  2.968334126  4.199093519  3.848597117
   [816]  3.619837787  4.027567490  4.420498983  4.232332269  3.934637484
   [821]  3.856718942  4.023409059  2.306079045  4.033725218  4.265541216
   [826]  3.487713480  3.835358345  5.541548546  4.643225483  3.750162564
   [831]  4.098531176  3.932475492  6.020866307  4.225600872  2.977559051
   [836]  4.239425018  4.328935991  2.749858742  3.794588393  4.576616183
   [841]  4.282048725  4.361041356  3.012022321  3.083081047  4.217550120
   [846]  3.689752847  4.134207416  3.901036655  4.024657246  3.817725619
   [851]  2.489113700  3.979679384  4.054518641  4.522207574  3.884732551
   [856]  3.027340509  4.876140676  3.237280324  3.668689911  5.526441143
   [861]  4.948640036  5.078341545  6.357888574  4.560216328  4.251687845
   [866]  3.825253494  4.574048540  4.092779056  4.209964432  3.209967748
   [871]  3.808517955  4.020190967  3.477685924  3.483604334  4.199577447
   [876]  4.529632212  2.448022597  3.705599135  4.505088966  3.533213306
   [881]  3.749425968  3.874596511  3.140120797  4.671662427  3.427227360
   [886]  3.707101699  1.614303088  3.859480852  2.935001819  3.921761384
   [891]  3.943560470  5.178582400  3.802683644  3.596154414  3.745188995
   [896]  3.942965888  4.127093698  2.822968539  3.325810600  4.145477387
   [901]  4.881975204  4.247111357  4.139888865  3.466873675  2.705204994
   [906]  4.467361208  5.917656290  3.751550021  3.530333213  4.068986089
   [911]  4.530697720  3.737439885  3.771678285  4.402283885  1.909224963
   [916]  3.719547443  3.689644036  4.274875842  3.946855496  3.757428285
   [921]  3.734200300  4.655299420  4.190094387  4.057180632  4.721164451
   [926]  4.277126257  5.393281221  3.588921781  4.210413577  5.902008781
   [931]  3.443408779  4.021586034  4.551477710  4.252568980  3.960249701
   [936]  3.846917303  3.831248597  5.625061426  3.839039322  3.850123352
   [941]  3.359958771  4.131512961  2.608709391  2.670366707  3.802017918
   [946]  4.410602113  4.538743213  3.439808926  3.693115779  3.946803542
   [951]  4.782067834  4.435983476  4.606711503  4.576276137  4.977860269
   [956]  3.259543733  3.956455813  4.231484735  6.010825734  3.253073860
   [961]  3.682852448  3.612226440  3.982916256  4.392726850  3.125411911
   [966]  4.077549939  5.811118285  3.247142030  4.616940250  4.525017532
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  [1776]  3.697736020  3.898316598  4.084842227  4.503641216  3.954670254
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  [1791]  4.766770598  3.308760383  4.362172050  4.136849772  4.132899722
  [1796]  3.267916516  4.047412068  4.389157812  3.984208137  4.366579296
  [1801]  3.850751556  4.713986528  5.286156314  3.912734090  2.029033241
  [1806]  4.336251035  4.457497928  3.640481518  5.219877436  4.088987168
  [1811]  4.255989417  4.122349557  4.645392991  2.317363024  3.580799704
  [1816]  4.107364934  3.817874471  3.876550259  4.274649117  4.773066374
  [1821]  3.834481844  3.411071208  3.824887812  3.507476204  4.250889968
  [1826]  3.715429148  3.617729622  4.115870018  4.250664599  3.552903696
  [1831]  3.924571044  4.111195574  5.212300419  3.975617377  3.168390411
  [1836]  4.527722033  5.015831071  3.087057250  4.012246212  4.724495272
  [1841]  4.453302991  5.113391585  4.039265881  5.280930404  4.629920200
  [1846]  4.260867317  4.902527739  4.755910251  5.808058108  5.496561811
  [1851]  2.690851832  3.855946743  4.032005406  4.508185348  3.689129357
  [1856]  3.160609875  3.998235594  3.674817136  3.218506182  4.885162236
  [1861]  3.785357551  3.644890127  6.010037254  4.650825313  4.112176221
  [1866]  3.244364033  3.805894869  3.750475344  4.598735179  3.422737541
  [1871]  4.614752427  2.488255039  4.094022390  1.852264276  3.769025921
  [1876]  4.914173534  4.275416943  3.334579824  4.472581113  3.835743594
  [1881]  3.968402638  3.344995165  3.543962403  3.942850848  4.140101422
  [1886]  4.275986591  3.427035980  3.774601788  3.520579827  4.619324428
  [1891]  3.403825538  4.183566495  3.948805469  3.379228567  4.466265204
  [1896]  3.984428401  4.313019015  3.829956280  3.748560094  3.297858629
  [1901]  3.929794269  3.903158630  4.216097598  4.555656938  3.813316342
  [1906]  2.740105056  4.222348872  5.067544780  4.766877523  3.226018101
  [1911]  5.347321310  4.027262120  5.231000396  4.038275683  5.722101372
  [1916]  4.459297732  4.065665719  3.806406741  4.821835974  4.287008775
  [1921]  4.344662167  4.357595640  3.302946417  3.379445010  4.213472369
  [1926]  4.760520190  4.071601499  4.274826403  4.287275186  3.849112213
  [1931]  2.837906598  4.421591103  5.011121345  3.797042435  4.154549095
  [1936]  3.992319773  4.698501411  4.098860162  3.752013630  2.937002813
  [1941]  4.270730628  4.256435810  3.660312139  4.070092807  4.773121020
  [1946]  2.127855316  3.761903300  3.739024726  3.238951901  4.011774063
  [1951]  4.235763094  2.403982479  4.760077360  3.965941190  3.754069566
  [1956]  3.989216587  4.025673236  4.134350367  2.799729427  3.413276177
  [1961]  3.892429892  3.369669932  4.823134534  2.982014771  5.869526614
  [1966]  3.683298372  5.142549560  4.106206413  5.022158680  3.998016411
  [1971]  3.831359801  4.014803604  5.807883884  1.831934111  3.921803838
  [1976]  3.983267238  4.028748447  4.032711612  4.625289455  3.180788889
  [1981]  3.981594201  4.317534546  4.034412997  3.450388156  3.358939072
  [1986]  5.046378796  3.176128613  3.726729392  3.856526320  3.850451161
  [1991]  4.462392940 -0.399277114  4.927568357  4.138393124  4.077669856
  [1996]  3.868772826  4.760038911  3.979710763  3.706813913  3.992845738
  [2001]  4.764962668  4.031715124  3.681485449  3.443589974  3.533968495
  [2006]  6.100335428  4.296404504  3.331069152  3.751417971  4.641266381
  [2011]  4.189650575  3.374686805  4.030107126  3.206330127  4.641908540
  [2016]  3.521714700  4.022784800  3.929941359  4.741466236  3.379302297
  [2021]  3.502281132  3.549969629  4.009717086  3.364526483  3.632139667
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