Begin test
Now print a real number: 3.14159
Print 20 N(0,1) random numbers - should be the same as in sample output
1.60382
-1.30754
-1.35107
-1.13924
0.273018
1.06615
-0.124875
-0.948578
0.275591
1.44853
-2.07826
-3.06759
1.09382
1.21352
-0.643038
-0.222574
-0.611443
-0.180788
-1.19885
-0.756851

Print histograms of data from a variety distributions
Histograms should be close to those in sample output
s. mean and s. var should be close to p. mean and s. mean



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|*********************************************************************
Constant
p. mean =         5, p. var =         0
s. mean =         5, s. var =         0, max =         5, min =         5


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|******************************************************************
|*******************************************************************
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Uniform
p. mean =       0.5, p. var =  0.083333
s. mean =   0.49995, s. var =   0.08335, max =   0.99999, min = 9.3156e-06


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|**
|*******
|*************
|**********************
|*********************************
|**********************************************
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|*****************************************************************
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|*********************************************************************
|****************************************************************
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|*******************************************
|******************************
|********************
|************
|******
|*
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SumRandom
p. mean =         0, p. var =      0.25
s. mean = 0.00079356, s. var =   0.25123, max =    1.4883, min =   -1.4611


|**
|**********
|*****************
|************************
|*******************************
|***************************************
|**********************************************
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|******************************************************************
|*********************************************************************
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|**********************************************
|*************************************
|*******************************
|************************
|*****************
|**********
|**
SumRandom
p. mean =         0, p. var =   0.16667
s. mean = -0.0019918, s. var =   0.16737, max =   0.99511, min =  -0.99786


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|*
|******
|***************
|********************************
|****************************************************
|******************************************************************
|*********************************************************************
|********************************************************
|*************************************
|*******************
|*******
|**
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Normal
p. mean =         0, p. var =         1
s. mean = -0.0032337, s. var =   0.99744, max =    4.1587, min =   -5.2177


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|*********************************************************************
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Cauchy
p. mean = indefinite, p. var = plus-infinity
s. mean =   0.80419, s. var = 2.7224e+05, max = 1.1516e+05, min =    -59877


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|*
|*****
|*************
|****************************
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|*******************************************
|*************************
|************
|****
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AsymGenX
p. mean =   missing, p. var =   missing
s. mean =    9.9999, s. var =    3.9894, max =     19.58, min =    1.4902
Mean and variance should be 10.0 and 4.0


|*******************************************************************
|******************************************************************
|*******************************************************************
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|******************************************************************
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|*******************************************************************
AsymGenX
p. mean =   missing, p. var =   missing
s. mean =   0.50012, s. var =  0.083635, max =   0.99999, min = 6.248e-06
Mean and variance should be 0.5 and 0.083333


|**
|**********
|*****************
|*************************
|********************************
|***************************************
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|******************************************************
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|*********************************************************************
|********************************************************************
|************************************************************
|******************************************************
|***********************************************
|***************************************
|********************************
|************************
|*****************
|*********
|**
SymGenX
p. mean =   missing, p. var =   missing
s. mean = -0.00015745, s. var =    0.1664, max =   0.99919, min =  -0.99559
Mean and variance should be 0 and 0.16667


|*********************************************************************
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|****************
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Poisson
p. mean =      0.25, p. var =      0.25
s. mean =    0.2503, s. var =   0.25124, max =         5, min =         0


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|*******
|***********
|*******************
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|****************************************
|****************************************
|*********************************************************************
|**********************
|****************
|*****************
|***
|*
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Poisson
p. mean =        10, p. var =        10
s. mean =    9.9929, s. var =    9.9663, max =        27, min =         0


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|*****
|*******************
|*****************************************
|****************************
|********************************************************************
|*********************************************************************
|******************************************************
|***********************************
|*****************
|*******
|*
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Poisson
p. mean =        16, p. var =        16
s. mean =    15.996, s. var =    16.039, max =        38, min =         1


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|***********************************
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|*********************************************************************
|****************************************************************
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|**********************************************
|***************************
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|****
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Binomial
p. mean =       5.4, p. var =      3.78
s. mean =    5.4078, s. var =    3.7748, max =        15, min =         0


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|************
|******************************
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|*****************************************************
|**********************************
|*****************
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|******
|*
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Binomial
p. mean =       5.7, p. var =      3.99
s. mean =     5.704, s. var =    3.9894, max =        15, min =         0


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|*************************
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|****************************************************************
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|***
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Binomial
p. mean =         6, p. var =       4.2
s. mean =     5.996, s. var =     4.226, max =        15, min =         0


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Binomial
p. mean =      17.4, p. var =     12.18
s. mean =    17.405, s. var =    12.183, max =        35, min =         2


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|***
|****
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|*
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Binomial
p. mean =      17.7, p. var =     12.39
s. mean =    17.699, s. var =    12.422, max =        35, min =         2


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|************
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|**************************************************************
|**********************
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|*******
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Binomial
p. mean =        18, p. var =      12.6
s. mean =     17.99, s. var =    12.515, max =        36, min =         4


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|****************************
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Binomial
p. mean =       0.9, p. var =     0.855
s. mean =   0.90194, s. var =   0.85461, max =         7, min =         0


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Binomial
p. mean =      0.95, p. var =    0.9025
s. mean =    0.9499, s. var =   0.89855, max =         7, min =         0


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Binomial
p. mean =         1, p. var =      0.95
s. mean =   0.99921, s. var =   0.94935, max =         8, min =         0


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Binomial
p. mean =      0.98, p. var =    0.9702
s. mean =   0.98157, s. var =   0.96966, max =         7, min =         0


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|*********************************
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Binomial
p. mean =      0.99, p. var =    0.9801
s. mean =   0.99201, s. var =   0.97687, max =         8, min =         0


|********************************************************************
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|*********************************
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|**********
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Binomial
p. mean =         1, p. var =      0.99
s. mean =   0.99788, s. var =   0.98926, max =         8, min =         0


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|*******
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|****************************
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|*****************************************************************
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|*********************************************************************
Binomial
p. mean =      17.1, p. var =     0.855
s. mean =      17.1, s. var =   0.85559, max =        18, min =        11


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|********************************
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|********************************************************************
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|*********************************************************************
Binomial
p. mean =     18.05, p. var =    0.9025
s. mean =     18.05, s. var =   0.90174, max =        19, min =        11


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|**********************************
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|*****************************************************************
Binomial
p. mean =        19, p. var =      0.95
s. mean =    18.997, s. var =   0.95375, max =        20, min =        12


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|*********************************************************************
Binomial
p. mean =     97.02, p. var =    0.9702
s. mean =    97.017, s. var =    0.9764, max =        98, min =        91


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Binomial
p. mean =     98.01, p. var =    0.9801
s. mean =    98.013, s. var =   0.97848, max =        99, min =        91


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|*********************************************************************
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|*******************************************************************
Binomial
p. mean =        99, p. var =      0.99
s. mean =    98.999, s. var =   0.98719, max =       100, min =        93


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|*
|********
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|*********************************************************************
|*****************************************************************
|**********************************************
|*****************************
|**************
|*****
|*
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NegativeBinomial
p. mean =       600, p. var =      4200
s. mean =    600.06, s. var =    4184.8, max =       971, min =       364


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|**********
|*********************************
|***************************************************
|*********************************************************************
|**************************************************************
|*******************************************************
|*************************************
|*************************
|**************
|******
|***
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NegativeBinomial
p. mean =        99, p. var =       990
s. mean =    99.152, s. var =    989.14, max =       281, min =        10


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|****
|*************************
|*****************************************************
|*********************************************************************
|****************************************************************
|***********************************************
|*****************************
|***************
|*******
|**
|*
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NegativeBinomial
p. mean =      20.9, p. var =     60.61
s. mean =    20.896, s. var =    60.975, max =        78, min =         0


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|*************************************
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|*************
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|***
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NegativeBinomial
p. mean =       1.1, p. var =      1.21
s. mean =    1.0981, s. var =    1.2039, max =         9, min =         0


|*********************************************************************
|*************************************************
|**************
|******************
|********
|*
|**
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NegativeBinomial
p. mean =      2.85, p. var =     8.265
s. mean =     2.841, s. var =    8.2365, max =        33, min =         0


|*********************************************************************
|****************
|******************
|****
|****
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NegativeBinomial
p. mean =       1.9, p. var =      5.51
s. mean =     1.899, s. var =    5.5088, max =        29, min =         0


|*********************************************************************
|********
|**
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NegativeBinomial
p. mean =       5.7, p. var =       114
s. mean =    5.6841, s. var =     114.4, max =       191, min =         0


|*********************************************************************
|***
|*
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NegativeBinomial
p. mean =      0.57, p. var =     1.653
s. mean =   0.57119, s. var =    1.6673, max =        22, min =         0


|*********************************************************************
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NegativeBinomial
p. mean =     0.015, p. var =   0.01575
s. mean =  0.015155, s. var =  0.015895, max =         3, min =         0


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|**
|**********
|*************************
|**********************************************
|**************************************************************
|*********************************************************************
|**************************************************************
|************************************************
|*******************************
|******************
|********
|***
|*
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NegativeBinomial
p. mean =    18.144, p. var =     21.41
s. mean =     18.15, s. var =    21.428, max =        42, min =         2


|*********************************************************************
|*****************************
|*****************
|********
|****
|*
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ChiSq
p. mean =         3, p. var =        10
s. mean =    2.9951, s. var =    9.9774, max =    40.363, min = 1.6837e-10


|*********************************************************************
|**************************************************
|********************************
|******************
|*********
|****
|*
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ChiSq
p. mean =         4, p. var =        12
s. mean =    3.9934, s. var =    12.002, max =    41.413, min = 7.195e-05


|*******************************************************
|*********************************************************************
|*******************************************************
|**************************************
|************************
|***************
|********
|****
|**
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ChiSq
p. mean =         5, p. var =        14
s. mean =    5.0038, s. var =    14.059, max =    36.399, min = 0.0018844


|**************************************
|*********************************************************************
|************************************************************
|******************************************
|***************************
|***************
|********
|****
|*
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ChiSq
p. mean =         6, p. var =        16
s. mean =    6.0068, s. var =    16.018, max =    42.121, min = 0.0049078


|*********************************************************************
|***************
|******
|***
|*
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ChiSq
p. mean =         1, p. var =         2
s. mean =   0.99996, s. var =    1.9779, max =    19.277, min = 8.8905e-12


|*********************************************************************
|********************************
|**************
|******
|**
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ChiSq
p. mean =         2, p. var =         4
s. mean =    2.0101, s. var =    4.0482, max =    30.022, min = 1.286e-06


|********************************************************************
|*********************************************************************
|**********************************************
|****************************
|****************
|*********
|****
|**
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ChiSq
p. mean =         3, p. var =         6
s. mean =    2.9991, s. var =    5.9871, max =    25.858, min = 8.9163e-05


|************************************************
|*********************************************************************
|**************************************************
|******************************
|****************
|********
|***
|*
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ChiSq
p. mean =         4, p. var =         8
s. mean =    3.9999, s. var =     8.019, max =    33.768, min = 0.0027881


|*********************************************************************
|*************************************
|*******************
|**********
|*****
|**
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Gamma
p. mean =         1, p. var =         1
s. mean =    0.9991, s. var =   0.99949, max =    12.222, min = 1.1793e-06


|*********************************************************************
|**************
|******
|**
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Gamma
p. mean =       0.5, p. var =       0.5
s. mean =   0.50127, s. var =   0.49883, max =    10.602, min = 2.5741e-12


|*********************************************************************
|*************************************
|*******************
|*********
|****
|**
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Gamma
p. mean =      1.01, p. var =      1.01
s. mean =     1.007, s. var =    1.0022, max =     12.51, min = 3.1699e-06


|********************************************
|*********************************************************************
|*******************************************************
|*************************************
|**********************
|************
|******
|***
|*
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Gamma
p. mean =         2, p. var =         2
s. mean =    1.9999, s. var =    2.0085, max =    14.766, min = 0.0053616


|*********************************************************************
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Pareto
p. mean = plus-infinity, p. var = plus-infinity
s. mean = 1.8228e+05, s. var = 1.2602e+15, max = 1.3147e+10, min =         1


|*********************************************************************
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Pareto
p. mean =         3, p. var = plus-infinity
s. mean =    3.0174, s. var =    1216.2, max =     14299, min =         1


|*********************************************************************
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Pareto
p. mean =    1.6667, p. var =    2.2222
s. mean =    1.6679, s. var =    2.3002, max =    343.92, min =         1


|*********************************************************************
|****
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Pareto
p. mean =    1.2857, p. var =   0.14694
s. mean =    1.2854, s. var =   0.14493, max =    15.143, min =         1


|**********************
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|*********************************************************************
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|**********
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|************************
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|**********
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|********
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|**********
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|**********
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|**********************
|
|*********************************
DiscreteGen
p. mean =      3.93, p. var =    10.645
s. mean =    3.9228, s. var =    10.604, max =         9, min =         0


|*********************************************************************
|***************
|******
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|*****
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|******
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|******
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|**************
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|**********************
DiscreteGen
p. mean =     15.24, p. var =    274.16
s. mean =    15.199, s. var =    273.93, max =        48, min =         2


|******************************************************************
|*******************************************************************
|*******************************************************************
|******************************************************************
|*******************************************************************
|*********************************************************************
|*******************************************************************
|********************************************************************
|******************************************************************
|******************************************************************
|******************************************************************
|********************************************************************
|********************************************************************
|*******************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
SumRandom
p. mean =      -0.5, p. var =  0.083333
s. mean =  -0.49943, s. var =  0.083184, max = -3.2163e-06, min =        -1
Mean and variance should be -0.5 and 0.083333


|********************************************************************
|********************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
|********************************************************************
|******************************************************************
|*******************************************************************
|********************************************************************
|********************************************************************
|*********************************************************************
|********************************************************************
|*******************************************************************
|********************************************************************
|********************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
SumRandom
p. mean =       4.5, p. var =  0.083333
s. mean =    4.5002, s. var =    0.0834, max =         5, min =         4
Mean and variance should be 4.5 and 0.083333


|*********************************************************************
|*******************************************************************
|*******************************************************************
|******************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
|********************************************************************
|********************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
SumRandom
p. mean =         4, p. var =   0.33333
s. mean =    3.9994, s. var =    0.3329, max =         5, min =         3
Mean and variance should be 4.0 and 0.33333


|********************************************************************
|*******************************************************************
|********************************************************************
|********************************************************************
|********************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
|******************************************************************
|********************************************************************
|*******************************************************************
|*******************************************************************
|********************************************************************
|********************************************************************
|*******************************************************************
|********************************************************************
|*******************************************************************
|*******************************************************************
|*******************************************************************
|*********************************************************************
MixedRandom
p. mean =         0, p. var =   0.33333
s. mean = -0.00020872, s. var =     0.334, max =   0.99999, min =        -1
Mean and variance should be 0.0 and 0.33333


|*********************************************************************
|********************************************
|************************************
|*****************************
|*************************
|*********************
|******************
|****************
|**************
|************
|**********
|********
|*******
|*****
|****
|***
|**
|*
|
|
SumRandom
p. mean =      0.25, p. var =  0.048611
s. mean =   0.25032, s. var =  0.048551, max =   0.99802, min = 3.552e-07
Mean and variance should be 0.25 and 0.048611


|
|**
|*****
|********
|***********
|***************
|*********************
|****************************
|***************************************
|*********************************************************************
|********************************************************************
|**************************************
|****************************
|*********************
|***************
|***********
|********
|****
|**
|
SumRandom
p. mean =         0, p. var = 0.0069444
s. mean = -0.00024806, s. var = 0.0069229, max =   0.24918, min =  -0.24906
Mean and variance should be 0.0 and 0.006944


|********************************************************************
|
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|**********************************
|
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|*********************************************************************
DiscreteGen
p. mean =         1, p. var =       0.8
s. mean =    1.0009, s. var =   0.79885, max =         2, min =         0


|
|
|
|*******
|**************************
|******************************************************
|*********************************************************************
|********************************************************
|**************************************
|***********************************
|************************************
|**********************************
|****************************************
|*************************************************************
|********************************************************************
|************************************************
|********************
|****
|
|
SumRandom
p. mean =        11, p. var =     0.925
s. mean =        11, s. var =   0.92553, max =     13.45, min =    8.3546


|
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|
|
|*
|****
|*********************************************************************
|**
|*
|
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|
|
MixedRandom
p. mean =         0, p. var =      20.8
s. mean = 0.0096326, s. var =    20.606, max =    41.243, min =   -44.722


|
|
|
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|
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|
|
|*
|*
|*********************************************************************
|******
|*
|
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|
MixedRandom
p. mean =         0, p. var =      20.8
s. mean = -0.012183, s. var =    20.817, max =    38.955, min =   -44.229


|********************************************************************
|
|
|
|
|*
|*****
|***********
|*******************
|*************************
|*************************
|*******************
|***********
|*****
|*
|
|
|
|
|*********************************************************************
MixedRandom
p. mean =         5, p. var =        13
s. mean =    5.0029, s. var =    13.001, max =        10, min =         0


|
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|**************************************************************
|*********************************************************************
|
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SumRandom
p. mean = indefinite, p. var = plus-infinity
s. mean =    1.9972, s. var =    2.2875, max =    141.61, min =    -257.5


|
|
|
|*********************************************************************
|
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MixedRandom
p. mean = indefinite, p. var = indefinite
s. mean =   0.20447, s. var =    1.5349, max =    158.26, min =   -31.206


|**********************************
|
|
|********************************************************************
|
|
|
|********************************************************************
|
|
|
|*********************************************************************
|
|
|
|********************************************************************
|
|
|
|*********************************
MixedRandom
p. mean =       2.5, p. var =      2.25
s. mean =    2.4986, s. var =    2.2527, max =         5, min =         0


|*******
|***************************************************
|*********************************************************************
|********************
|
|
|
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|
|
|
|************
|**************************************************************
|**************************************************************
|***********
|
MixedRandom
p. mean =         5, p. var =     25.25
s. mean =    4.9905, s. var =    25.271, max =     12.03, min =   -1.4857


|*********************************************************************
|
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|********************************************************************
|
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|********************************************************************
|
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|********************************************************************
SumRandom
p. mean =   missing, p. var =   missing
s. mean =   0.83263, s. var =   0.13907, max =    1.3333, min =   0.33333
Mean and variance should be 0.83333 and 0.13889


|********************************************************************
|********************************************************************
|*********************************************************************
|********************************************************************
|********************************************************************
|**********************************
|**********************************
|***********************************
|***********************************
|***********************************
|******************
|******************
|******************
|******************
|******************
|*******
|*******
|*******
|*******
|*******
SumRandom
p. mean =   missing, p. var =   missing
s. mean =   0.41695, s. var =   0.10412, max =    1.3333, min = 3.6177e-06
Mean and variance should be 0.41667 and 0.10417


|*********************************************************************
|******
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SumRandom
p. mean =   missing, p. var =   missing
s. mean =    1.2808, s. var =    1.5633, max =    50.203, min = 0.0020787
Mean and variance should be 1.2857 and 1.5869

ChiSquared tests for discrete data
chisq should be less than 95% point in most cases
   and 99% point in almost all cases

DiscreteGen: chisq = 10.328; df = 8; 95% pt. = 15.507; 99% pt. = 20.09
DiscreteGen: chisq = 8.644; df = 8; 95% pt. = 15.507; 99% pt. = 20.09
NegativeBinomial: chisq = 29.837; df = 28; 95% pt. = 41.337; 99% pt. = 48.278
NegativeBinomial: chisq = 57.336; df = 46; 95% pt. = 62.83; 99% pt. = 71.202
NegativeBinomial: chisq = 37.62; df = 42; 95% pt. = 58.124; 99% pt. = 66.207
NegativeBinomial: chisq = 146.35; df = 148; 95% pt. = 177.39; 99% pt. = 190.94
NegativeBinomial: chisq = 716.64; df = 779; 95% pt. = 845.05; 99% pt. = 873.74
NegativeBinomial: chisq = 16.685; df = 13; 95% pt. = 22.362; 99% pt. = 27.688
NegativeBinomial: chisq = 29.791; df = 49; 95% pt. = 66.339; 99% pt. = 74.92
NegativeBinomial: chisq = 256.12; df = 269; 95% pt. = 308.26; 99% pt. = 325.88
NegativeBinomial: chisq = 4.7253; df = 5; 95% pt. = 11.07; 99% pt. = 15.086
NegativeBinomial: chisq = 10.449; df = 17; 95% pt. = 27.587; 99% pt. = 33.409
NegativeBinomial: chisq = 69.718; df = 87; 95% pt. = 109.77; 99% pt. = 120.59
Binomial: chisq = 51.199; df = 45; 95% pt. = 61.656; 99% pt. = 69.958
Binomial: chisq = 38.216; df = 39; 95% pt. = 54.572; 99% pt. = 62.429
Binomial: chisq = 17.46; df = 11; 95% pt. = 19.675; 99% pt. = 24.725
Binomial: chisq = 4.5879; df = 8; 95% pt. = 15.507; 99% pt. = 20.09
Binomial: chisq = 20.668; df = 31; 95% pt. = 44.985; 99% pt. = 52.192
Binomial: chisq = 16.956; df = 17; 95% pt. = 27.587; 99% pt. = 33.409
Binomial: chisq = 3.0977; df = 7; 95% pt. = 14.067; 99% pt. = 18.475
Binomial: chisq = 19.566; df = 9; 95% pt. = 16.919; 99% pt. = 21.666
Binomial: chisq = 9.96; df = 7; 95% pt. = 14.067; 99% pt. = 18.475
Poisson: chisq = 6.6606; df = 7; 95% pt. = 14.067; 99% pt. = 18.475
Poisson: chisq = 14.609; df = 17; 95% pt. = 27.587; 99% pt. = 33.409
Poisson: chisq = 20.094; df = 28; 95% pt. = 41.337; 99% pt. = 48.278
Poisson: chisq = 93.709; df = 90; 95% pt. = 113.15; 99% pt. = 124.12

Kolmogorov-Smirnoff tests for continuous distributions
25%, 5%, 1%, .1% upper points are 1.019, 1.358, 1.628, 1.950
5% lower point is 0.520
Values should be mostly less than 5% upper point
   and less than 1% point almost always

ChiSq:   0.84996
ChiSq:   0.63548
ChiSq:   0.83843
Pareto:   0.60381
Pareto:   0.54259
Normal:   0.83283
SumRandom:   0.75355
MixedRandom:   0.65278
MixedRandom:   0.64916
SumRandom:   0.70546
MixedRandom:   0.88905
Gamma:   0.90469
Gamma:   0.79434
SumRandom:   0.91984
SumRandom:   1.2616
Gamma:   0.62163
Exponential:   1.0919
Cauchy:   1.0196
SumRandom:   0.64866
Uniform:   0.73842


Combinations and permutations
At this stage just checking that we get a valid permutation or combination
Combinations should be in sorted order

Doing permutations
... select 10 items from 100...119 without replacement
107 109 117 114 104 119 116 112 101 118 
111 118 107 101 103 116 119 115 105 114 
119 102 113 106 112 118 114 108 105 101 
106 107 110 108 112 115 119 104 103 114 
117 119 103 110 109 101 118 116 113 112 
107 102 101 106 115 109 110 111 114 103 
109 114 112 106 110 104 115 117 116 113 
111 112 119 116 102 101 115 100 104 113 
111 109 104 117 106 114 102 101 112 119 
113 114 109 111 107 104 110 118 119 115 

... select 10 items from 100...109 without replacement
104 109 105 107 103 102 108 100 101 106 
102 106 103 105 101 109 100 104 108 107 
102 100 106 109 103 108 104 107 105 101 
101 100 106 105 104 109 103 102 108 107 
108 109 105 101 100 107 103 104 102 106 
106 101 102 104 109 105 107 100 103 108 
105 109 102 103 106 108 101 107 100 104 
101 108 106 104 100 102 103 105 107 109 
106 105 100 107 102 109 101 103 104 108 
102 109 103 108 107 100 106 104 105 101 



Doing combinations
... select 10 items from 100...119 without replacement
101 102 104 105 108 110 111 114 116 118 
100 101 102 104 107 108 109 113 114 116 
100 102 105 107 109 110 111 112 114 119 
102 103 106 107 108 109 111 112 114 116 
101 106 108 110 111 113 114 115 116 119 
100 102 103 110 112 113 115 117 118 119 
100 101 103 108 109 110 112 114 116 119 
101 102 103 104 105 106 108 111 115 117 
102 105 106 108 109 110 111 113 114 116 
100 106 107 108 109 112 114 115 118 119 

... select 10 items from 100...109 without replacement
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 
100 101 102 103 104 105 106 107 108 109 



Testing VariPoisson
 - columns 2 (mean) and 3 (variance) should be close to column 1
       0.25         0.24983    0.2500172211
          1        1.000889     1.001333211
          4        4.000748     4.003905444
         10       10.004478     9.999693947
         20       20.000237     20.03760698
         30       29.992675     29.97745132
       39.5       39.502185      39.3728166
         40       40.003102     40.06277444
         50       49.996871     50.01437722
       59.5        59.50914     59.61066207
         60        59.98322     59.96300839
       60.5       60.507069     60.44770048
       99.5        99.48253     99.52338032
        100       99.997676     100.1130787
      100.5       100.50061     100.5418222
      199.5      199.488005     200.1255682
        200      200.011565     199.9481312
      200.5      200.497397     200.2209834
      299.5      299.489898      300.067054
        300      299.999663     300.2542951
      300.5      300.479494     300.6219821
      399.5      399.510519     399.1791385
        400      399.965469     399.5963802
      400.5      400.486839     400.6043334
        500      500.008641     499.3841857
      10000     9999.950105     10002.57253
      10000     10000.69425     10010.51534
      1e+05     100000.0681      100018.869
      1e+05     100001.0468     99905.51609
      1e+07      10000000.7      9987834.48
      1e+07     10000003.98     10025256.32

Testing VariBinomial
 - columns 5 (mean) and 6 (variance) should be close to columns 1 and 4
          1        0.2        0.2       0.16        0.199457    0.1596740648
          2        0.1        0.2       0.18         0.20029    0.1802460961
          5       0.35       1.75     1.1375        1.748817     1.136199237
         20        0.2          4        3.2        4.001697     3.200501321
         50        0.5         25       12.5       25.003416     12.49420483
        100        0.4         40         24       40.007509     23.95852457
        200        0.2         40         32       40.003756     32.02917792
        500        0.3        150        105      149.992416     104.9703775
       1000       0.19        190      153.9      189.966631     153.5776951
       1000       0.21        210      165.9      210.004574     166.0020311
      10000        0.4       4000       2400     3999.977154     2400.634473
    1000000        0.1      1e+05      90000     100000.1219     89963.96041
    1000000        0.5      5e+05    2.5e+05     499999.9225     249781.3937
          1        0.7        0.7       0.21        0.699797    0.2100813689
          2        0.6        1.2       0.48        1.199994    0.4793388793
          5        0.9        4.5       0.45        4.500226     0.450058399
         20       0.55         11       4.95       11.000111     4.937739925
         50        0.9         45        4.5       45.000718     4.497311982
        100       0.99         99       0.99       99.000642    0.9888025766
        200       0.51        102      49.98      102.011873     50.00480404
        500        0.7        350        105      349.992878     104.8549021
       1000       0.81        810      153.9      809.987691     153.9387734
       1000       0.79        790      165.9      789.990528     165.8014441
      10000        0.9       9000        900     8999.989336     900.2510445
    1000000       0.55    5.5e+05  2.475e+05     550000.5864     247260.3545
    1000000        0.7      7e+05    2.1e+05     699999.7911     210238.6658

Testing VariLogNormal
 - columns 4 (mean) and 5 (variance) should be close to columns 1 and 3
       0.25        0.5       0.25    0.2503119009    0.2519273557
        0.5        1.5       2.25    0.5002616683      2.14422274
        1.5        2.5       6.25     1.498565936     6.166010039
          2          1          1     1.998513555    0.9986070703


End of tests

(The following memory checks are probably not valid with all
compilers - see documentation)

Checking for lost memory: 8141400 8141400  - ok


Checking for lost memory: 8141400 8141400  - ok

Elapsed (processor) time =      272.8 seconds