  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 14:26:03 EDT 2014
430419388
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 14:37:53 EDT 2014
626218226
  
[1] "samples.txt"
[1] 0.01
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0008, p-value < 0.00000000000000022
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]       1     101   20301 6110601
[1] "Calculating empirical moments"
[1]       1.001702     101.248866   20361.710519 6123340.862149
[1] "Difference of empirical moments from theoretical ones:"
[1]     0.001702314     0.248866294    60.710519300 12739.862148862
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.1702314 0.2464023 0.2990519 0.2084879
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   1  10  20 603
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   1.001702  10.012265  19.985826 601.280776
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.17023138  0.12265450 -0.07086751 -0.28511178
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.01 0.01
  Date and time plus nanoseconds
Wed Jul 23 15:07:16 EDT 2014
364411199
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 15:07:16 EDT 2014
371786138
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 15:07:16 EDT 2014
596660704
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 15:12:01 EDT 2014
957925737
  
[1] "samples.txt"
[1] 1.5
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.7382
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        150      37500   13125000 5906250000
[1] "Calculating empirical moments"
[1]        149.9951      37496.2219   13123305.7707 5905633342.6470
[1] "Difference of empirical moments from theoretical ones:"
[1]      -0.004926469      -3.778091234   -1694.229283413 -616657.352980614
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.003284313 -0.010074910 -0.012908414 -0.010440759
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 150.000000 122.474487   1.632993   7.000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 149.995074 122.465097   1.633312   7.002216
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.003284313 -0.007667210  0.019506427  0.031657853
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 1.5 0.01
  Date and time plus nanoseconds
Wed Jul 23 15:43:15 EDT 2014
086458437
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 15:43:15 EDT 2014
088534352
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 15:43:15 EDT 2014
643818045
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 15:47:59 EDT 2014
616821066
  
[1] "samples.txt"
[1] 20.5
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0, p-value = 0.9836
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]           2050        4407500     9916875000 23304656250000
[1] "Calculating empirical moments"
[1]           2050.014        4407557.904     9917088519.546 23305457568518.660
[1] "Difference of empirical moments from theoretical ones:"
[1]         0.01354895        57.90388206    213519.54611588 801318518.66015625
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.0006609242 0.0013137580 0.0021530930 0.0034384481
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 2050.0000000  452.7692569    0.4417261    3.2926829
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 2050.0135489  452.7718569    0.4419329    3.2935919
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.0006609242 0.0005742387 0.0468050624 0.0276064047
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 20.5 0.01
  Date and time plus nanoseconds
Wed Jul 23 16:21:54 EDT 2014
813632532
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 16:21:54 EDT 2014
815871671
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 16:21:56 EDT 2014
683859353
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 16:38:23 EDT 2014
607575988
  
[1] "samples.txt"
[1] 0.01
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0008, p-value < 0.00000000000000022
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.01000000 0.01010000 0.02030100 0.06110601
[1] "Calculating empirical moments"
[1] 0.01001744 0.01012287 0.02036055 0.06129710
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.00001743773 0.00002286500 0.00005955331 0.00019109379
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.1743773 0.2263862 0.2933516 0.3127250
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.01   0.10  20.00 603.00
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.01001744   0.10011252  19.99079355 602.15857564
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.17437727  0.11251675 -0.04603223 -0.13953970
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.01 1.0
  Date and time plus nanoseconds
Wed Jul 23 17:07:28 EDT 2014
499178253
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 17:07:28 EDT 2014
501281055
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 17:07:29 EDT 2014
291845902
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 17:12:19 EDT 2014
006815499
  
[1] "samples.txt"
[1] 1.5
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0, p-value = 0.9836
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]  1.5000  3.7500 13.1250 59.0625
[1] "Calculating empirical moments"
[1]  1.499965  3.749768 13.123009 59.039798
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00003495471 -0.00023243581 -0.00199130251 -0.02270162850
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.002330314 -0.006198288 -0.015171829 -0.038436620
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 1.500000 1.224745 1.632993 7.000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 1.499965 1.224693 1.632644 6.995412
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.002330314 -0.004252187 -0.021379136 -0.065545046
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 1.5 1.0
  Date and time plus nanoseconds
Wed Jul 23 17:42:25 EDT 2014
601208400
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 17:42:25 EDT 2014
603306648
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 17:42:25 EDT 2014
981108801
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 17:47:14 EDT 2014
302256481
  
[1] "samples.txt"
[1] 20.5
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.4297
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]     20.500    440.750   9916.875 233046.562
[1] "Calculating empirical moments"
[1]     20.49999    440.74939   9916.80360 233041.47063
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.000007255354 -0.000611923863 -0.071400975106 -5.091870217526
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.00003539197 -0.00013883695 -0.00071999471 -0.00218491539
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 20.5000000  4.5276926  0.4417261  3.2926829
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 20.4999927  4.5276579  0.4412787  3.2915257
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.00003539197 -0.00076663152 -0.10128352234 -0.03514423854
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 20.5 1.0
  Date and time plus nanoseconds
Wed Jul 23 18:17:48 EDT 2014
486288985
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 18:17:48 EDT 2014
488460751
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 18:17:49 EDT 2014
011097758
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 18:31:15 EDT 2014
964201780
  
[1] "samples.txt"
[1] 0.01
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0008, p-value < 0.00000000000000022
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.000200000000000 0.000004040000000 0.000000162408000 0.000000009776962
[1] "Calculating empirical moments"
[1] 0.000200201719186 0.000004049619742 0.000000163188011 0.000000009852095
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.00000020171918561 0.00000000961974245 0.00000000078001053
[4] 0.00000000007513381
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.1008596 0.2381124 0.4802784 0.7684781
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0002   0.0020  20.0000 603.0000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.0002002017   0.0020023833  20.0248055344 604.7610475164
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.1008596 0.1191670 0.1240277 0.2920477
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.01 50
  Date and time plus nanoseconds
Wed Jul 23 19:01:46 EDT 2014
577949347
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 19:01:46 EDT 2014
579904589
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 19:01:46 EDT 2014
862873104
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 19:06:32 EDT 2014
104958993
  
[1] "samples.txt"
[1] 1.5
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.4905
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.03000000 0.00150000 0.00010500 0.00000945
[1] "Calculating empirical moments"
[1] 0.03000030926 0.00150004073 0.00010500479 0.00000945143
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.000000309261538 0.000000040729479 0.000000004788155 0.000000001430281
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.001030872 0.002715299 0.004560147 0.015135248
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 0.0300000 0.0244949 1.6329932 7.0000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 0.03000031 0.02449535 1.63299795 7.00229507
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.0010308718 0.0018481238 0.0002932451 0.0327867685
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 1.5 50
  Date and time plus nanoseconds
Wed Jul 23 19:35:56 EDT 2014
672462595
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 19:35:56 EDT 2014
674475357
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 19:35:57 EDT 2014
115013511
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 19:40:47 EDT 2014
291471871
  
[1] "samples.txt"
[1] 20.5
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0, p-value = 0.8979
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.41000000 0.17630000 0.07933500 0.03728745
[1] "Calculating empirical moments"
[1] 0.40999941 0.17629884 0.07933348 0.03728584
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.0000005907255 -0.0000011578934 -0.0000015249675 -0.0000016076788
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.0001440794 -0.0006567745 -0.0019221876 -0.0043115815
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 0.41000000 0.09055385 0.44172610 3.29268293
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 0.40999941 0.09055013 0.44126315 3.29157346
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.0001440794 -0.0041064511 -0.1048061333 -0.0336948902
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 20.5 50
  Date and time plus nanoseconds
Wed Jul 23 20:10:39 EDT 2014
796143881
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 20:10:39 EDT 2014
798418364
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 20:10:40 EDT 2014
190555672
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 20:24:12 EDT 2014
118168896
  
[1] "samples.txt"
[1] 0.01
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0008, p-value < 0.00000000000000022
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.00001000000000000000 0.00000001010000000000 0.00000000002030100000
[4] 0.00000000000006110601
[1] "Calculating empirical moments"
[1] 0.0000099960171326972 0.0000000100766028891 0.0000000000202482593
[4] 0.0000000000000611121
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.000000003982867302812675 -0.000000000023397110909666
[3] -0.000000000000052740709338  0.000000000000000006090317
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.039828673 -0.231654563 -0.259793652  0.009966805
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.00001   0.00010  20.00000 603.00000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.000009996017   0.000099883345  20.018053940131 605.907388295718
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.03982867 -0.11665506  0.09026970  0.48215395
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.01 1000
  Date and time plus nanoseconds
Wed Jul 23 20:53:23 EDT 2014
536822537
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 20:53:23 EDT 2014
538898151
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 20:53:24 EDT 2014
181879647
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 21:03:30 EDT 2014
293145748
  
[1] "samples.txt"
[1] 1.5
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.2478
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0015000000000000 0.0000037500000000 0.0000000131250000 0.0000000000590625
[1] "Calculating empirical moments"
[1] 0.00149977711021236 0.00000374863015987 0.00000001311649728
[4] 0.00000000005900046
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00000022288978764355 -0.00000000136984012728 -0.00000000000850272152
[4] -0.00000000000006204236
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.01485932 -0.03652907 -0.06478264 -0.10504527
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 0.001500000 0.001224745 1.632993162 7.000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 0.001499777 0.001224459 1.632591710 6.995944665
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.01485932 -0.02337641 -0.02458378 -0.05793336
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 1.5 1000
  Date and time plus nanoseconds
Wed Jul 23 21:34:14 EDT 2014
884960259
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 21:34:14 EDT 2014
887481556
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 21:34:15 EDT 2014
190623186
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 21:38:54 EDT 2014
099684648
  
[1] "samples.txt"
[1] 20.5
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.4112
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0205000000000 0.0004407500000 0.0000099168750 0.0000002330466
[1] "Calculating empirical moments"
[1] 0.0204995621776 0.0004407312549 0.0000099162238 0.0000002330247
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00000043782235321 -0.00000001874511749 -0.00000000065124443
[4] -0.00000000002181735
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.002135719 -0.004253005 -0.006567033 -0.009361798
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 0.020500000 0.004527693 0.441726104 3.292682927
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 0.020499562 0.004527605 0.441498813 3.291696451
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.002135719 -0.001937716 -0.051455318 -0.029959645
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 20.5 1000
  Date and time plus nanoseconds
Wed Jul 23 22:08:27 EDT 2014
218874722
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 22:08:27 EDT 2014
220803682
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 22:08:27 EDT 2014
773600552
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 22:19:43 EDT 2014
482954227
  
[1] "samples.txt"
[1] 0.02
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.6084
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        2      204    41208 12444816
[1] "Calculating empirical moments"
[1]        2.001484      204.278436    41264.885175 12467288.320453
[1] "Difference of empirical moments from theoretical ones:"
[1]     0.00148388     0.27843580    56.88517468 22472.32045314
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.07419398 0.13648814 0.13804401 0.18057576
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   2.00000  14.14214  14.14214 303.00000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   2.001484  14.151767  14.132455 302.719187
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.07419398  0.06810166 -0.06845115 -0.09267747
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.02 0.01
  Date and time plus nanoseconds
Wed Jul 23 22:49:41 EDT 2014
240567709
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 22:49:41 EDT 2014
243038711
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 22:49:41 EDT 2014
711725456
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 23:00:39 EDT 2014
114022576
  
[1] "samples.txt"
[1] 0.03
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.1972
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        3      309    62727 19006281
[1] "Calculating empirical moments"
[1]        3.001909      309.534232    62967.022174 19146463.222454
[1] "Difference of empirical moments from theoretical ones:"
[1]      0.001909155      0.534232054    240.022174410 140182.222454164
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.0636385 0.1728906 0.3826457 0.7375573
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   3.00000  17.32051  11.54701 203.00000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   3.001909  17.335593  11.561717 203.809856
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.06363850 0.08709132 0.12740692 0.39894406
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.03 0.01
  Date and time plus nanoseconds
Wed Jul 23 23:30:36 EDT 2014
083308929
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Wed Jul 23 23:30:36 EDT 2014
085499926
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Wed Jul 23 23:30:36 EDT 2014
546098620
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Wed Jul 23 23:40:30 EDT 2014
073277953
  
[1] "samples.txt"
[1] 0.04
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.6934
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        4      416    84864 25798656
[1] "Calculating empirical moments"
[1]        3.999596      416.301803    85047.725976 25893189.110896
[1] "Difference of empirical moments from theoretical ones:"
[1]    -0.0004038533     0.3018033817   183.7259762568 94533.1108961739
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.01009633  0.07254889  0.21649460  0.36642649
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   4  20  10 153
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   3.999596  20.007624  10.011118 153.339493
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.01009633  0.03812232  0.11117566  0.22189059
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.04 0.01
  Date and time plus nanoseconds
Thu Jul 24 00:10:07 EDT 2014
309808791
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 00:10:07 EDT 2014
312144635
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 00:10:07 EDT 2014
832254641
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 00:19:35 EDT 2014
766503692
  
[1] "samples.txt"
[1] 0.05
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.6604
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        5      525   107625 32825625
[1] "Calculating empirical moments"
[1]        4.999731      525.213788   107722.014361 32854336.608449
[1] "Difference of empirical moments from theoretical ones:"
[1]    -0.0002690105     0.2137884631    97.0143610646 28711.6084490977
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.00538021  0.04072161  0.09014110  0.08746706
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   5.000000  22.360680   8.944272 123.000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   4.999731  22.365520   8.946886 123.001113
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.0053802099  0.0216458403  0.0292214916  0.0009052654
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.05 0.01
  Date and time plus nanoseconds
Thu Jul 24 00:47:36 EDT 2014
901027917
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 00:47:36 EDT 2014
902984048
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 00:47:37 EDT 2014
372310664
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 00:56:43 EDT 2014
655860099
  
[1] "samples.txt"
[1] 0.06
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.6485
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        6      636   131016 40090896
[1] "Calculating empirical moments"
[1]        6.003111      636.545928   131100.281655 40096698.786837
[1] "Difference of empirical moments from theoretical ones:"
[1]    0.003111328    0.545927973   84.281654777 5802.786836825
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.05185547 0.08583773 0.06432928 0.01447408
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   6.000000  24.494897   8.164966 103.000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   6.003111  24.505277   8.159297 102.832266
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.05185547  0.04237322 -0.06942937 -0.16284812
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.06 0.01
  Date and time plus nanoseconds
Thu Jul 24 01:26:06 EDT 2014
058115105
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 01:26:06 EDT 2014
060315099
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 01:26:06 EDT 2014
522921825
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 01:34:34 EDT 2014
607945127
  
[1] "samples.txt"
[1] 0.07
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.05548
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        7      749   155043 47598201
[1] "Calculating empirical moments"
[1]        6.99984      748.54616   154961.03463 47622270.69279
[1] "Difference of empirical moments from theoretical ones:"
[1]    -0.0001601362    -0.4538393832   -81.9653723813 24069.6927905604
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.00228766 -0.06059271 -0.05286622  0.05056849
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  7.000000 26.457513  7.559289 88.714286
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  6.999840 26.448977  7.562713 88.882649
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.00228766 -0.03226184  0.04528323  0.18978116
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.07 0.01
  Date and time plus nanoseconds
Thu Jul 24 02:04:44 EDT 2014
362819599
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 02:04:44 EDT 2014
364941871
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 02:04:45 EDT 2014
192761459
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 02:12:46 EDT 2014
183443336
  
[1] "samples.txt"
[1] 0.08
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.8256
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        8      864   179712 55351296
[1] "Calculating empirical moments"
[1]        7.998952      863.932305   179706.678069 55311998.879340
[1] "Difference of empirical moments from theoretical ones:"
[1]     -0.00104811     -0.06769450     -5.32193105 -39297.12065956
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.013101375 -0.007835012 -0.002961367 -0.070995846
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  8.000000 28.284271  7.071068 78.000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  7.998952 28.283371  7.071682 77.949799
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.013101375 -0.003182583  0.008684775 -0.064360247
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.08 0.01
  Date and time plus nanoseconds
Thu Jul 24 02:42:40 EDT 2014
193354181
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 02:42:40 EDT 2014
196136348
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 02:42:40 EDT 2014
581676909
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 02:50:43 EDT 2014
908549974
  
[1] "samples.txt"
[1] 0.09
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0, p-value = 0.9213
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        9      981   205029 63353961
[1] "Calculating empirical moments"
[1]        8.999976      981.307061   205186.088893 63387643.416526
[1] "Difference of empirical moments from theoretical ones:"
[1]    -0.00002372679     0.30706099461   157.08889283912 33682.41652643681
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.000263631  0.031300815  0.076617890  0.053165447
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  9.000000 30.000000  6.666667 69.666667
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  8.999976 30.005124  6.668762 69.653871
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.000263631  0.017081545  0.031429593 -0.018367701
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.09 0.01
  Date and time plus nanoseconds
Thu Jul 24 03:20:30 EDT 2014
587187117
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 03:20:30 EDT 2014
589183112
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 03:20:31 EDT 2014
025702890
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 03:32:36 EDT 2014
311738553
  
[1] "samples.txt"
[1] 0.02
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.7945
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0200000 0.0204000 0.0412080 0.1244482
[1] "Calculating empirical moments"
[1] 0.02001709 0.02045499 0.04138325 0.12492960
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.00001708615 0.00005498565 0.00017525209 0.00048143908
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.08543076 0.26953748 0.42528656 0.38685914
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0200000   0.1414214  14.1421356 303.0000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.02001709   0.14161321  14.14492766 302.51705663
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.08543076  0.13566308  0.01974266 -0.15938725
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.02 1.0
  Date and time plus nanoseconds
Thu Jul 24 04:01:45 EDT 2014
389135902
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 04:01:45 EDT 2014
391187531
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 04:01:45 EDT 2014
703338643
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 04:13:09 EDT 2014
726991545
  
[1] "samples.txt"
[1] 0.03
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.6441
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0300000 0.0309000 0.0627270 0.1900628
[1] "Calculating empirical moments"
[1] 0.02998553 0.03090415 0.06288944 0.19180320
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.000014472546  0.000004150695  0.000162441855  0.001740388436
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.04824182  0.01343267  0.25896640  0.91569121
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0300000   0.1732051  11.5470054 203.0000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.02998553   0.17321957  11.57553373 204.84745698
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.048241822  0.008364714  0.247062696  0.910077329
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.03 1.0
  Date and time plus nanoseconds
Thu Jul 24 04:44:15 EDT 2014
899263386
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 04:44:15 EDT 2014
901381160
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 04:44:18 EDT 2014
214172408
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 04:58:20 EDT 2014
249808036
  
[1] "samples.txt"
[1] 0.04
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.6693
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0400000 0.0416000 0.0848640 0.2579866
[1] "Calculating empirical moments"
[1] 0.03998297 0.04156415 0.08464631 0.25634640
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00001703323 -0.00003585417 -0.00021769480 -0.00164016097
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.04258308 -0.08618791 -0.25652197 -0.63575443
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.04   0.20  10.00 153.00
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.03998297   0.19991375   9.98648518 152.26233097
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.04258308 -0.04312372 -0.13514819 -0.48213662
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.04 1.0
  Date and time plus nanoseconds
Thu Jul 24 05:27:59 EDT 2014
626637975
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 05:27:59 EDT 2014
628957730
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 05:28:00 EDT 2014
905185660
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 05:38:57 EDT 2014
205134671
  
[1] "samples.txt"
[1] 0.05
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.5725
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0500000 0.0525000 0.1076250 0.3282562
[1] "Calculating empirical moments"
[1] 0.05001760 0.05252143 0.10765282 0.32849725
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.00001760468 0.00002143071 0.00002781914 0.00024099500
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.03520935 0.04082041 0.02584822 0.07341673
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0500000   0.2236068   8.9442719 123.0000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.0500176   0.2236508   8.9409716 122.9946892
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.035209353  0.019668335 -0.036899004 -0.004317734
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.05 1.0
  Date and time plus nanoseconds
Thu Jul 24 06:10:29 EDT 2014
857045179
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 06:10:29 EDT 2014
859231411
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 06:10:31 EDT 2014
873552419
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 06:20:39 EDT 2014
295762579
  
[1] "samples.txt"
[1] 0.06
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0, p-value = 0.9856
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.060000 0.063600 0.131016 0.400909
[1] "Calculating empirical moments"
[1] 0.06001101 0.06361848 0.13103186 0.40069212
[1] "Difference of empirical moments from theoretical ones:"
[1]  0.00001100815  0.00001848276  0.00001586023 -0.00021683700
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1]  0.01834691  0.02906094  0.01210557 -0.05408634
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.060000   0.244949   8.164966 103.000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.06001101   0.24498400   8.16218966 102.87848991
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.01834691  0.01430069 -0.03400080 -0.11797096
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.06 1.0
  Date and time plus nanoseconds
Thu Jul 24 06:49:31 EDT 2014
498789392
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 06:49:31 EDT 2014
500868958
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 06:49:33 EDT 2014
847045077
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 07:00:26 EDT 2014
133862425
  
[1] "samples.txt"
[1] 0.07
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.5023
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.070000 0.074900 0.155043 0.475982
[1] "Calculating empirical moments"
[1] 0.06998616 0.07484466 0.15478352 0.47434009
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00001383804 -0.00005534148 -0.00025948316 -0.00164191739
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.01976863 -0.07388715 -0.16736206 -0.34495367
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.0700000  0.2645751  7.5592895 88.7142857
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.06998616  0.26447419  7.55469579 88.53031009
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.01976863 -0.03815290 -0.06076855 -0.20737993
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.07 1.0
  Date and time plus nanoseconds
Thu Jul 24 07:29:51 EDT 2014
294709116
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 07:29:51 EDT 2014
296738099
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 07:29:51 EDT 2014
800946206
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 07:39:19 EDT 2014
195345035
  
[1] "samples.txt"
[1] 0.08
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0, p-value = 0.9939
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.080000 0.086400 0.179712 0.553513
[1] "Calculating empirical moments"
[1] 0.07997731 0.08634782 0.17945783 0.55189438
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00002269232 -0.00005218366 -0.00025416715 -0.00161858341
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.02836540 -0.06039775 -0.14143026 -0.29242015
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.0800000  0.2828427  7.0710678 78.0000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.07997731  0.28275687  7.06704257 77.85624065
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.02836540 -0.03035015 -0.05692545 -0.18430686
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.08 1.0
  Date and time plus nanoseconds
Thu Jul 24 08:08:19 EDT 2014
645678219
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 08:08:19 EDT 2014
647646551
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 08:08:20 EDT 2014
143605347
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 08:18:20 EDT 2014
497327838
  
[1] "samples.txt"
[1] 0.09
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.1635
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0900000 0.0981000 0.2050290 0.6335396
[1] "Calculating empirical moments"
[1] 0.09000620 0.09813828 0.20517482 0.63415457
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.000006195993 0.000038277996 0.000145817490 0.000614962382
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.006884436 0.039019364 0.071120422 0.097067708
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.090000  0.300000  6.666667 69.666667
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.0900062  0.3000619  6.6674980 69.6782287
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.006884436 0.020644135 0.012469964 0.016596191
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.09 1.0
  Date and time plus nanoseconds
Thu Jul 24 08:49:42 EDT 2014
816342944
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 08:49:42 EDT 2014
818419497
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 08:49:43 EDT 2014
423184701
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 09:03:21 EDT 2014
872458642
  
[1] "samples.txt"
[1] 0.02
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.2837
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.00040000000000 0.00000816000000 0.00000032966400 0.00000001991171
[1] "Calculating empirical moments"
[1] 0.00040015333277 0.00000817060706 0.00000033063591 0.00000002003957
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.0000001533327670 0.0000000106070603 0.0000000009719115 0.0000000001278630
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.03833319 0.12998848 0.29481882 0.64214989
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.000400000   0.002828427  14.142135624 303.000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.0004001533   0.0028302799  14.1565280375 304.1728565096
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.03833319 0.06550619 0.10176973 0.38708136
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.02 50.0
  Date and time plus nanoseconds
Thu Jul 24 09:33:48 EDT 2014
632974886
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 09:33:48 EDT 2014
635025843
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 09:33:49 EDT 2014
297264350
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 09:46:30 EDT 2014
763252365
  
[1] "samples.txt"
[1] 0.03
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.7705
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.00060000000000 0.00001236000000 0.00000050181600 0.00000003041005
[1] "Calculating empirical moments"
[1] 0.00059976110289 0.00001235093062 0.00000050169905 0.00000003043622
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00000023889711186 -0.00000000906937965 -0.00000000011695257
[4]  0.00000000002616694
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.03981619 -0.07337686 -0.02330587  0.08604701
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.000600000   0.003464102  11.547005384 203.000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.0005997611   0.0034628337  11.5574711809 203.4844643192
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.03981619 -0.03660120  0.09063646  0.23865237
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.03 50.0
  Date and time plus nanoseconds
Thu Jul 24 10:16:16 EDT 2014
808880542
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 10:16:16 EDT 2014
810868933
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 10:16:17 EDT 2014
377654452
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 10:28:26 EDT 2014
787230055
  
[1] "samples.txt"
[1] 0.04
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0, p-value = 0.9461
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.00080000000000 0.00001664000000 0.00000067891200 0.00000004127785
[1] "Calculating empirical moments"
[1] 0.00079984119312 0.00001661945725 0.00000067674912 0.00000004103639
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.0000001588068779 -0.0000000205427535 -0.0000000021628849
[4] -0.0000000002414567
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.01985086 -0.12345405 -0.31858104 -0.58495465
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0008   0.0040  10.0000 153.0000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.0007998412   0.0039974631   9.9860776074 152.4715575998
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.01985086 -0.06342193 -0.13922393 -0.34538719
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.04 50.0
  Date and time plus nanoseconds
Thu Jul 24 10:58:59 EDT 2014
901950840
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 10:58:59 EDT 2014
904054192
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 10:59:00 EDT 2014
785891464
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 11:12:24 EDT 2014
882133101
  
[1] "samples.txt"
[1] 0.05
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.596
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.001000000000 0.000021000000 0.000000861000 0.000000052521
[1] "Calculating empirical moments"
[1] 0.00099974605972 0.00002097548231 0.00000085870860 0.00000005228187
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.0000002539402838 -0.0000000245176935 -0.0000000022913984
[4] -0.0000000002391289
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.02539403 -0.11675092 -0.26613222 -0.45530156
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.001000000   0.004472136   8.944271910 123.000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.0009997461   0.0044694508   8.9357233631 122.7212276292
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.02539403 -0.06004239 -0.09557566 -0.22664420
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.05 50.0
  Date and time plus nanoseconds
Thu Jul 24 11:42:01 EDT 2014
833048923
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 11:42:01 EDT 2014
835082216
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 11:42:02 EDT 2014
759622745
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 11:54:11 EDT 2014
520168053
  
[1] "samples.txt"
[1] 0.06
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.5788
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.00120000000000 0.00002544000000 0.00000104812800 0.00000006414543
[1] "Calculating empirical moments"
[1] 0.00120029855589 0.00002546149195 0.00000105008191 0.00000006440139
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.0000002985558852 0.0000000214919525 0.0000000019539107 0.0000000002559588
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.02487966 0.08448095 0.18641909 0.39902885
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.001200000   0.004898979   8.164965809 103.000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.001200299   0.004901099   8.170143203 103.247587272
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.02487966 0.04327291 0.06340987 0.24037599
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.06 50.0
  Date and time plus nanoseconds
Thu Jul 24 12:23:41 EDT 2014
039664714
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 12:23:41 EDT 2014
041627487
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 12:23:42 EDT 2014
374127103
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 12:35:55 EDT 2014
779072679
  
[1] "samples.txt"
[1] 0.07
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.4614
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.00140000000000 0.00002996000000 0.00000124034400 0.00000007615712
[1] "Calculating empirical moments"
[1] 0.00140021794634 0.00002997122409 0.00000124079170 0.00000007598581
[1] "Difference of empirical moments from theoretical ones:"
[1]  0.0000002179463430  0.0000000112240856  0.0000000004477037
[4] -0.0000000001713141
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1]  0.01556760  0.03746357  0.03609512 -0.22494825
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.001400000  0.005291503  7.559289460 88.714285714
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.001400218  0.005292505  7.557580426 88.424444673
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.01556760  0.01895173 -0.02260840 -0.32671293
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.07 50.0
  Date and time plus nanoseconds
Thu Jul 24 13:07:16 EDT 2014
458078515
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 13:07:16 EDT 2014
460200422
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 13:07:19 EDT 2014
090148533
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 13:19:14 EDT 2014
480994289
  
[1] "samples.txt"
[1] 0.08
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.8261
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.00160000000000 0.00003456000000 0.00000143769600 0.00000008856207
[1] "Calculating empirical moments"
[1] 0.00160028857412 0.00003457877177 0.00000143898763 0.00000008860829
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.00000028857412469 0.00000001877176820 0.00000000129163069
[4] 0.00000000004621356
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.01803588 0.05431646 0.08984032 0.05218211
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.001600000  0.005656854  7.071067812 78.000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.001600289  0.005658432  7.071647263 77.948913018
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.018035883  0.027884333  0.008194683 -0.065496131
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.08 50.0
  Date and time plus nanoseconds
Thu Jul 24 13:48:16 EDT 2014
340542999
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 13:48:16 EDT 2014
342830318
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 13:48:17 EDT 2014
514918121
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 14:00:06 EDT 2014
859540352
  
[1] "samples.txt"
[1] 0.09
[1] 50

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.06471
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0018000000000 0.0000392400000 0.0000016402320 0.0000001013663
[1] "Calculating empirical moments"
[1] 0.001800071147 0.000039245525 0.000001641094 0.000000101503
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.0000000711472108 0.0000000055251122 0.0000000008623075 0.0000000001366284
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.003952623 0.014080306 0.052572286 0.134786762
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.001800  0.006000  6.666667 69.666667
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.001800071  0.006000439  6.669024150 69.746646626
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.003952623 0.007318090 0.035362249 0.114803769
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.09 50.0
  Date and time plus nanoseconds
Thu Jul 24 14:29:31 EDT 2014
356508834
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 14:29:31 EDT 2014
364832992
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 14:29:33 EDT 2014
194275116
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 14:43:24 EDT 2014
123454828
  
[1] "samples.txt"
[1] 0.02
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.193
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0000200000000000000 0.0000000204000000000 0.0000000000412080000
[4] 0.0000000000001244482
[1] "Calculating empirical moments"
[1] 0.0000200014723123013 0.0000000204286621252 0.0000000000413605722
[4] 0.0000000000001253168
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.0000000014723123013458 0.0000000000286621251865 0.0000000000001525722462
[4] 0.0000000000000008686316
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.007361562 0.140500614 0.370249093 0.697986722
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0000200000   0.0001414214  14.1421356237 303.0000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.00002000147   0.00014152245  14.16504108338 304.26971332533
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] 0.007361562 0.071482861 0.161966058 0.419047302
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.02 1000.0
  Date and time plus nanoseconds
Thu Jul 24 15:12:55 EDT 2014
889962280
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 15:12:55 EDT 2014
892143359
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 15:12:56 EDT 2014
689901956
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 15:26:01 EDT 2014
267096772
  
[1] "samples.txt"
[1] 0.03
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.8472
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0000300000000000000 0.0000000309000000000 0.0000000000627270000
[4] 0.0000000000001900628
[1] "Calculating empirical moments"
[1] 0.0000299980987091546 0.0000000308905636075 0.0000000000627120719
[4] 0.0000000000001900438
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.00000000190129084540173 -0.00000000000943639247281
[3] -0.00000000000001492811921 -0.00000000000000001898922
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.006337636 -0.030538487 -0.023798554 -0.009991021
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0000300000   0.0001732051  11.5470053838 203.0000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.0000299981   0.0001731782  11.5497109282 203.1075510641
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.006337636 -0.015538072  0.023430702  0.052980820
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.03 1000.0
  Date and time plus nanoseconds
Thu Jul 24 15:55:23 EDT 2014
235646267
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 15:55:23 EDT 2014
237598071
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 15:55:24 EDT 2014
073003609
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 16:08:58 EDT 2014
834612841
  
[1] "samples.txt"
[1] 0.04
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.7248
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0000400000000000000 0.0000000416000000000 0.0000000000848640000
[4] 0.0000000000002579866
[1] "Calculating empirical moments"
[1] 0.0000399892705096187 0.0000000415562729799 0.0000000000847029425
[4] 0.0000000000002576119
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.0000000107294903813518 -0.0000000000437270200523
[3] -0.0000000000001610575328 -0.0000000000000003746437
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.02682373 -0.10511303 -0.18978310 -0.14521830
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.00004   0.00020  10.00000 153.00000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.00003998927   0.00019989280   9.99674429650 153.11184453713
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.02682373 -0.05360000 -0.03255704  0.07310100
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.04 1000.0
  Date and time plus nanoseconds
Thu Jul 24 16:38:36 EDT 2014
803171755
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 16:38:36 EDT 2014
805375388
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 16:38:37 EDT 2014
600282051
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 16:52:12 EDT 2014
915551862
  
[1] "samples.txt"
[1] 0.05
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.7824
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0000500000000000000 0.0000000525000000000 0.0000000001076250000
[4] 0.0000000000003282562
[1] "Calculating empirical moments"
[1] 0.0000500014343490482 0.0000000524780922545 0.0000000001075577718
[4] 0.0000000000003283074
[1] "Difference of empirical moments from theoretical ones:"
[1]  0.00000000143434904816534 -0.00000000002190774546441
[3] -0.00000000000006722821792  0.00000000000000005118032
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1]  0.002868698 -0.041729039 -0.062465243  0.015591574
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.0000500000   0.0002236068   8.9442719100 123.0000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.00005000143   0.00022355749   8.94445090463 123.13407543064
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.002868698 -0.022053281  0.002001221  0.109004415
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.05 1000.0
  Date and time plus nanoseconds
Thu Jul 24 17:22:49 EDT 2014
946272821
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 17:22:49 EDT 2014
948918820
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 17:22:50 EDT 2014
729680607
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 17:35:42 EDT 2014
488910424
  
[1] "samples.txt"
[1] 0.06
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.7892
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.000060000000000000 0.000000063600000000 0.000000000131016000
[4] 0.000000000000400909
[1] "Calculating empirical moments"
[1] 0.0000600226820929043 0.0000000636479058087 0.0000000001311505864
[4] 0.0000000000004017374
[1] "Difference of empirical moments from theoretical ones:"
[1] 0.0000000226820929043149 0.0000000000479058087404 0.0000000000001345863977
[4] 0.0000000000000008284083
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] 0.03780349 0.07532360 0.10272516 0.20663251
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]   0.000060000   0.000244949   8.164965809 103.000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]   0.00006002268   0.00024504119   8.16405145589 103.06311223978
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.03780349  0.03764612 -0.01119850  0.06127402
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.06 1000.0
  Date and time plus nanoseconds
Thu Jul 24 18:06:06 EDT 2014
554223784
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 18:06:06 EDT 2014
556226621
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 18:06:08 EDT 2014
653051668
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 18:19:55 EDT 2014
194196393
  
[1] "samples.txt"
[1] 0.07
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.8309
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.000070000000000000 0.000000074900000000 0.000000000155043000
[4] 0.000000000000475982
[1] "Calculating empirical moments"
[1] 0.0000700109745519264 0.0000000749347640742 0.0000000001550470227
[4] 0.0000000000004749258
[1] "Difference of empirical moments from theoretical ones:"
[1]  0.000000010974551926349  0.000000000034764074154  0.000000000000004022665
[4] -0.000000000000001056189
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1]  0.015677931  0.046413984  0.002594548 -0.221896768
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.0000700000  0.0002645751  7.5592894602 88.7142857143
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.00007001097  0.00026463792  7.55361773654 88.41350249685
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1]  0.01567793  0.02373146 -0.07502985 -0.33904711
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.07 1000.0
  Date and time plus nanoseconds
Thu Jul 24 18:49:06 EDT 2014
812707368
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 18:49:06 EDT 2014
814715774
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 18:49:08 EDT 2014
778824934
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 19:02:14 EDT 2014
726784043
  
[1] "samples.txt"
[1] 0.08
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.4569
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.000080000000000000 0.000000086400000000 0.000000000179712000
[4] 0.000000000000553513
[1] "Calculating empirical moments"
[1] 0.0000799974939855798 0.0000000863956305134 0.0000000001798872958
[4] 0.0000000000005558684
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.000000002506014420243 -0.000000000004369486575  0.000000000000175295791
[4]  0.000000000000002355486
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.003132518 -0.005057276  0.097542619  0.425552115
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.0000800000  0.0002828427  7.0710678119 78.0000000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.00007999749  0.00028283570  7.07941243466 78.36728025885
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.003132518 -0.002480029  0.118010787  0.470872127
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.08 1000.0
  Date and time plus nanoseconds
Thu Jul 24 19:32:30 EDT 2014
062874112
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 19:32:30 EDT 2014
065937026
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 19:32:31 EDT 2014
521061342
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 19:45:32 EDT 2014
776556563
  
[1] "samples.txt"
[1] 0.09
[1] 1000

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.2873
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1] 0.0000900000000000000 0.0000000981000000000 0.0000000002050290000
[4] 0.0000000000006335396
[1] "Calculating empirical moments"
[1] 0.0000899980459190714 0.0000000980990627203 0.0000000002048351362
[4] 0.0000000000006305831
[1] "Difference of empirical moments from theoretical ones:"
[1] -0.000000001954080928548 -0.000000000000937279733 -0.000000000000193863790
[4] -0.000000000000002956467
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.002171201 -0.000955433 -0.094554326 -0.466658540
[1] "Theoretical mean, sd, skew and kurtosis:"
[1]  0.000090  0.000300  6.666667 69.666667
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  0.00008999805  0.00029999903  6.65957867283 69.31135742672
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.0021712010 -0.0003249722 -0.1063199075 -0.5100132631
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 0.09 1000.0
  Date and time plus nanoseconds
Thu Jul 24 20:15:10 EDT 2014
434959620
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 20:15:10 EDT 2014
437008971
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 20:15:11 EDT 2014
651344760
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 20:20:09 EDT 2014
317521856
  
[1] "samples.txt"
[1] 1
[1] 0.01

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.158
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]        100      20000    6000000 2400000000
[1] "Calculating empirical moments"
[1]         99.99592      20000.41235    6000615.60693 2400094676.32790
[1] "Difference of empirical moments from theoretical ones:"
[1]    -0.004084713     0.412353816   615.606933990 94676.327900887
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.004084713  0.002061769  0.010260116  0.003944847
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 100 100   2   9
[1] "Empirical mean, sd, skew and kurtosis:"
[1]  99.995915 100.006147   2.000123   8.997010
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.004084713  0.006146543  0.006154896 -0.033223561
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 1.0 0.01
  Date and time plus nanoseconds
Thu Jul 24 20:50:07 EDT 2014
837654506
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 20:50:07 EDT 2014
839789456
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 20:50:08 EDT 2014
650499641
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 20:56:11 EDT 2014
900489022
  
[1] "samples.txt"
[1] 10
[1] 0.1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.2451
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]       100     11000   1320000 171600000
[1] "Calculating empirical moments"
[1]        99.99659     10999.23698   1319868.47346 171579185.40175
[1] "Difference of empirical moments from theoretical ones:"
[1]     -0.003409856     -0.763017173   -131.526539963 -20814.598253578
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.003409856 -0.006936520 -0.009964132 -0.012129719
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 100.0000000  31.6227766   0.6324555   3.6000000
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 99.9965901 31.6214950  0.6327004  3.6005109
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.003409856 -0.004052624  0.038721378  0.014191046
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 10.0 0.1
  Date and time plus nanoseconds
Thu Jul 24 21:24:43 EDT 2014
055039413
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 21:24:43 EDT 2014
057144026
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 21:24:43 EDT 2014
824597701
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 21:30:26 EDT 2014
226838707
  
[1] "samples.txt"
[1] 100
[1] 1

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.4625
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]       100     10100   1030200 106110600
[1] "Calculating empirical moments"
[1]        99.99848     10099.68969   1030151.74628 106103846.82531
[1] "Difference of empirical moments from theoretical ones:"
[1]    -0.001516404    -0.310314554   -48.253716304 -6753.174691707
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.001516404 -0.003072421 -0.004683917 -0.006364279
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 100.00  10.00   0.20   3.06
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 99.9984836  9.9996482  0.1998245  3.0600569
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.001516404 -0.003517804 -0.087738540  0.001860389
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 100.0 1.0
  Date and time plus nanoseconds
Thu Jul 24 22:00:47 EDT 2014
185447299
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 22:00:47 EDT 2014
187524564
  
  
  Generating Gamma Distribution samples.
  Date and time plus nanoseconds
Thu Jul 24 22:00:50 EDT 2014
033484120
  
  
  Invoking R Script.
  Date and time plus nanoseconds
Thu Jul 24 22:06:00 EDT 2014
837308603
  
[1] "samples.txt"
[1] 1000
[1] 10

	One-sample Kolmogorov-Smirnov test

data:  gamm.unif
D = 0.0001, p-value = 0.03129
alternative hypothesis: two-sided

[1] "Calculating theoretical moments"
[1]       100     10010   1003002 100601101
[1] "Calculating empirical moments"
[1]        99.99946     10009.89285   1002985.94395 100598960.51954
[1] "Difference of empirical moments from theoretical ones:"
[1]    -0.0005366614    -0.1071493550   -16.0560521496 -2140.0804563463
[1] "Relative Difference of empirical moments from theoretical ones (in %):"
[1] -0.0005366614 -0.0010704231 -0.0016007996 -0.0021272933
[1] "Theoretical mean, sd, skew and kurtosis:"
[1] 100.00000000   3.16227766   0.06324555   3.00600000
[1] "Empirical mean, sd, skew and kurtosis:"
[1] 99.99946334  3.16230655  0.06340236  3.00617845
[1] "Relative Difference of empirical mean, sd, skew and kurtosis from theoretical ones (in %):"
[1] -0.0005366614  0.0009134732  0.2479395856  0.0059365727
  
  Performing Gamma Distribution tests using Dieharder suite:
  Number of Samples, Alpha, Lambda  1.5*10^8 1000.0 10.0
  Date and time plus nanoseconds
Thu Jul 24 22:35:07 EDT 2014
819270178
  
  
  Dieharder Tests Suite completed.
  Date and time plus nanoseconds
Thu Jul 24 22:35:07 EDT 2014
821321251
  
