  
  Generating Uniform Distribution samples.
  Date and time plus nanoseconds
Tue Sep 16 14:16:07 EDT 2014
699694356
  
  
  Invoking R Script.
  Number of Samples, Lower_Bound, Upper_Bound 2.5*10^7 1 6
  Date and time plus nanoseconds
Tue Sep 16 14:16:22 EDT 2014
433145565
  
[1] "samples.txt"
[1] "Lower Bound = "
[1] 1
[1] "Upper Bound = "
[1] 6
[1] "Absolute difference of empirical moments from theoretical ones:"
[1] 0.000406800 0.002945013 0.017586320 0.100650293
[1] "Relative difference of empirical moments from theoretical ones:"
[1] 0.0001162286 0.0001941767 0.0002392697 0.0002654513
[1] "Absolute difference of empirical central moments from theoretical ones:"
[1]  7.055974e-17  9.724785e-05 -1.946039e-03  1.134364e-03
[1] "Relative difference of empirical central moments from theoretical ones (except first):"
[1]  6.411946e-06 -2.647672e-05  2.991729e-06
                         test   P.value KS.test
1                  Chi Square 0.9813419  Passed
2            Likelihood Ratio 0.9813419  Passed
3               Freeman-Tukey 0.9213024  Passed
4 Power Divergence (lambda=2) 0.9843450  Passed
  
  R Tests Suite completed.
  Date and time plus nanoseconds
Tue Sep 16 14:22:36 EDT 2014
711412833
  
  
  Generating Uniform Distribution samples.
  Date and time plus nanoseconds
Tue Sep 16 14:22:36 EDT 2014
714940476
  
  
  Invoking R Script.
  Number of Samples, Lower_Bound, Upper_Bound 2.5*10^7 1 20
  Date and time plus nanoseconds
Tue Sep 16 14:22:52 EDT 2014
065933374
  
[1] "samples.txt"
[1] "Lower Bound = "
[1] 1
[1] "Upper Bound = "
[1] 20
[1] "Absolute difference of empirical moments from theoretical ones:"
[1] 0.00097312 0.02374016 0.49895296 9.94179584
[1] "Relative difference of empirical moments from theoretical ones:"
[1] 0.0000926781 0.0001654367 0.0002262825 0.0002751422
[1] "Absolute difference of empirical central moments from theoretical ones:"
[1]  6.166329e-16  3.303693e-03 -2.408101e-02  1.837600e-01
[1] "Relative difference of empirical central moments from theoretical ones (except first):"
[1]  2.302225e-05 -1.092109e-05  5.085613e-06
                         test   P.value KS.test
1                  Chi Square 0.6961216  Passed
2            Likelihood Ratio 0.6961216  Passed
3               Freeman-Tukey 0.5688943  Passed
4 Power Divergence (lambda=2) 0.7382529  Passed
  
  R Tests Suite completed.
  Date and time plus nanoseconds
Tue Sep 16 14:29:12 EDT 2014
236562835
  
  
  Generating Uniform Distribution samples.
  Date and time plus nanoseconds
Tue Sep 16 14:29:12 EDT 2014
241673923
  
  
  Invoking R Script.
  Number of Samples, Lower_Bound, Upper_Bound 2.5*10^7 10 20
  Date and time plus nanoseconds
Tue Sep 16 14:29:27 EDT 2014
663500584
  
[1] "samples.txt"
[1] "Lower Bound = "
[1] 10
[1] "Upper Bound = "
[1] 20
[1] "Absolute difference of empirical moments from theoretical ones:"
[1] -0.00113276 -0.01255972 -0.12060164 -1.13397460
[1] "Relative difference of empirical moments from theoretical ones:"
[1] -0.0001887933 -0.0002730374 -0.0003045496 -0.0003120458
[1] "Absolute difference of empirical central moments from theoretical ones:"
[1] -4.508593e-17  1.032117e-03  1.712155e-02  2.627046e-02
[1] "Relative difference of empirical central moments from theoretical ones (except first):"
[1] 2.243732e-05 4.323623e-05 7.229076e-06
                         test   P.value KS.test
1                  Chi Square 0.7153514  Passed
2            Likelihood Ratio 0.7153514  Passed
3               Freeman-Tukey 0.8179620  Passed
4 Power Divergence (lambda=2) 0.6474771  Passed
  
  R Tests Suite completed.
  Date and time plus nanoseconds
Tue Sep 16 14:35:43 EDT 2014
452155851
  
  
  Generating Uniform Distribution samples.
  Date and time plus nanoseconds
Tue Sep 16 14:35:43 EDT 2014
455849278
  
  
  Invoking R Script.
  Number of Samples, Lower_Bound, Upper_Bound 2.5*10^7 -10 10
  Date and time plus nanoseconds
Tue Sep 16 14:36:06 EDT 2014
452693191
  
[1] "samples.txt"
[1] "Lower Bound = "
[1] -10
[1] "Upper Bound = "
[1] 10
[1] "Absolute difference of empirical moments from theoretical ones:"
[1] -0.000120760 -0.008730387 -0.268896200 -6.822300787
[1] "Relative difference of empirical moments from theoretical ones:"
[1] -1.097818e-05 -5.537243e-05 -1.058230e-04 -1.562109e-04
[1] "Absolute difference of empirical central moments from theoretical ones:"
[1] -1.064588e-16 -6.073681e-03 -1.134792e-02 -6.862112e-01
[1] "Relative difference of empirical central moments from theoretical ones (except first):"
[1] -3.852229e-05 -4.465927e-06 -1.571224e-05
                         test   P.value KS.test
1                  Chi Square 0.3561309  Passed
2            Likelihood Ratio 0.3561309  Passed
3               Freeman-Tukey 0.3217629  Passed
4 Power Divergence (lambda=2) 0.3683674  Passed
  
  R Tests Suite completed.
  Date and time plus nanoseconds
Tue Sep 16 14:42:29 EDT 2014
709186892
  
  
  Generating Uniform Distribution samples.
  Date and time plus nanoseconds
Tue Sep 16 14:42:29 EDT 2014
712856121
  
  
  Invoking R Script.
  Number of Samples, Lower_Bound, Upper_Bound 2.5*10^7 -23 15
  Date and time plus nanoseconds
Tue Sep 16 14:42:53 EDT 2014
759372337
  
[1] "samples.txt"
[1] "Lower Bound = "
[1] -23
[1] "Upper Bound = "
[1] 15
[1] "Absolute difference of empirical moments from theoretical ones:"
[1]   0.00166884   0.10045617   4.41214124 175.17550433
[1] "Relative difference of empirical moments from theoretical ones:"
[1] 0.0000834420 0.0001907396 0.0002828296 0.0003554303
[1] "Absolute difference of empirical central moments from theoretical ones:"
[1] -6.708979e-16  3.369979e-02 -2.469491e-01  9.895672e+00
[1] "Relative difference of empirical central moments from theoretical ones (except first):"
[1]  6.398694e-05 -1.583007e-05  2.007828e-05
                         test   P.value KS.test
1                  Chi Square 0.9296725  Passed
2            Likelihood Ratio 0.9296725  Passed
3               Freeman-Tukey 0.7836799  Passed
4 Power Divergence (lambda=2) 0.8554247  Passed
  
  R Tests Suite completed.
  Date and time plus nanoseconds
Tue Sep 16 14:49:33 EDT 2014
845662222
  
  
  Generating Uniform Distribution samples.
  Date and time plus nanoseconds
Tue Sep 16 14:49:33 EDT 2014
850275630
  
  
  Invoking R Script.
  Number of Samples, Lower_Bound, Upper_Bound 2.5*10^7 500 10000
  Date and time plus nanoseconds
Tue Sep 16 14:49:51 EDT 2014
490457304
  
[1] "samples.txt"
[1] "Lower Bound = "
[1] 500
[1] "Upper Bound = "
[1] 10000
[1] "Absolute difference of empirical moments from theoretical ones:"
[1] 6.969809e-01 5.644929e+03 4.901429e+07 4.595777e+11
[1] "Relative difference of empirical moments from theoretical ones:"
[1] 0.0001467019 0.0001875740 0.0002285511 0.0002819275
[1] "Absolute difference of empirical central moments from theoretical ones:"
[1]  1.276378e-14 -9.782691e+02  2.697728e+04 -6.383517e+09
[1] "Relative difference of empirical central moments from theoretical ones (except first):"
[1] -3.250666e-05  1.257937e-07 -3.915962e-06
                         test   P.value KS.test
1                  Chi Square 0.3311012  Passed
2            Likelihood Ratio 0.3311012  Passed
3               Freeman-Tukey 0.5531983  Passed
4 Power Divergence (lambda=2) 0.4444154  Passed
  
  R Tests Suite completed.
  Date and time plus nanoseconds
Tue Sep 16 15:35:36 EDT 2014
597925340
  
  
  Generating Uniform Distribution samples.
  Date and time plus nanoseconds
Tue Sep 16 15:35:36 EDT 2014
601640923
  
  
  Invoking R Script.
  Number of Samples, Lower_Bound, Upper_Bound 2.5*10^7 -20000 80000
  Date and time plus nanoseconds
Tue Sep 16 15:36:01 EDT 2014
129325933
  
[1] "samples.txt"
[1] "Lower Bound = "
[1] -20000
[1] "Upper Bound = "
[1] 80000
[1] "Absolute difference of empirical moments from theoretical ones:"
[1] -4.238536e+00 -7.114889e+05 -7.633066e+10 -7.299241e+15
[1] "Relative difference of empirical moments from theoretical ones:"
[1] -8.476903e-05 -2.134392e-04 -3.053074e-04 -3.649383e-04
[1] "Absolute difference of empirical central moments from theoretical ones:"
[1] -6.887317e-13 -2.876447e+05  9.197405e+09 -5.861017e+14
[1] "Relative difference of empirical central moments from theoretical ones (except first):"
[1] -8.629039e-05  3.678778e-05 -2.930318e-05
                         test    P.value KS.test
1                  Chi Square 0.21172036  Passed
2            Likelihood Ratio 0.21172036  Passed
3               Freeman-Tukey 0.63571585  Passed
4 Power Divergence (lambda=2) 0.09298314  Passed
  
  R Tests Suite completed.
  Date and time plus nanoseconds
Tue Sep 16 21:16:48 EDT 2014
534877402
  
