http://git-wip-us.apache.org/repos/asf/commons-rng/blob/a61e17b9/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 index d85c937..4c474a1 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 @@ -1,9 +1,9 @@ # -# RNG: org.apache.commons.rng.internal.source32.JDKRandom +# RNG: org.apache.commons.rng.core.source32.JDKRandom # -# Java: 1.8.0_66 -# Runtime: 1.8.0_66-b17 -# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# Java: 1.8.0_111 +# Runtime: 1.8.0_111-b14 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.111-b14 # OS: Linux 3.16.0-4-amd64 amd64 # # Analyzer: ./stdin2testu01 BigCrush @@ -46,7 +46,7 @@ p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:13.43 +CPU time used : 00:02:48.96 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.36 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:02:31.45 +CPU time used : 00:02:27.76 Generator state: N/A @@ -137,7 +137,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:20.01 +CPU time used : 00:04:58.97 Generator state: N/A @@ -175,21 +175,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1358 -p-value of test : 0.56 +Observed number of collisions : 1338 +p-value of test : 0.76 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334478 - j = 1 : 599997284 - j = 2 : 1358 + j = 0 : 131940795334458 + j = 1 : 599997324 + j = 2 : 1338 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:10.45 +CPU time used : 00:07:06.03 Generator state: N/A @@ -241,7 +241,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:02.09 +CPU time used : 00:09:33.06 Generator state: N/A @@ -279,21 +279,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1347 -p-value of test : 0.67 +Observed number of collisions : 1409 +p-value of test : 0.12 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334467 - j = 1 : 599997306 - j = 2 : 1347 + j = 0 : 131940795334529 + j = 1 : 599997182 + j = 2 : 1409 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:48.31 +CPU time used : 00:09:29.00 Generator state: N/A @@ -331,21 +331,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 348341580 +Observed number of collisions : 348341582 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674700 - j = 1 : 180 - j = 2 : 154974900 - j = 3 : 96683340 + j = 0 : 131941143674702 + j = 1 : 178 + j = 2 : 154974898 + j = 3 : 96683342 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:32.65 +CPU time used : 00:07:08.46 Generator state: N/A @@ -383,21 +383,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1304 -p-value of test : 0.95 +Observed number of collisions : 1325 +p-value of test : 0.85 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334424 - j = 1 : 599997392 - j = 2 : 1304 + j = 0 : 131940795334445 + j = 1 : 599997350 + j = 2 : 1325 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:18.34 +CPU time used : 00:09:41.25 Generator state: N/A @@ -449,7 +449,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:07.28 +CPU time used : 00:06:57.09 Generator state: N/A @@ -487,21 +487,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1359 -p-value of test : 0.55 +Observed number of collisions : 1357 +p-value of test : 0.57 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334479 - j = 1 : 599997282 - j = 2 : 1359 + j = 0 : 131940795334477 + j = 1 : 599997286 + j = 2 : 1357 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:14.67 +CPU time used : 00:09:48.75 Generator state: N/A @@ -539,21 +539,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 348341177 +Observed number of collisions : 348341183 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674297 - j = 1 : 583 - j = 2 : 154975303 - j = 3 : 96682937 + j = 0 : 131941143674303 + j = 1 : 577 + j = 2 : 154975297 + j = 3 : 96682943 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:12.59 +CPU time used : 00:06:57.59 Generator state: N/A @@ -591,21 +591,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1398 -p-value of test : 0.18 +Observed number of collisions : 1326 +p-value of test : 0.85 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334518 - j = 1 : 599997204 - j = 2 : 1398 + j = 0 : 131940795334446 + j = 1 : 599997348 + j = 2 : 1326 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:33.03 +CPU time used : 00:09:37.82 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 11933154 +Total observed number : 11942110 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:30.56 +CPU time used : 00:05:23.14 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 201413089 +Total observed number : 201408678 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:29.26 +CPU time used : 00:02:25.19 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 4281267 +Total observed number : 4282494 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:15.57 +CPU time used : 00:04:08.27 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 396239267 +Total observed number : 396236134 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:48.63 +CPU time used : 00:02:46.02 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 313503824 +Total observed number : 313508544 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:14.61 +CPU time used : 00:03:11.23 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 85301574 +Total observed number : 85311182 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:21.39 +CPU time used : 00:05:16.43 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 742603 +Total observed number : 744338 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:22.97 +CPU time used : 00:05:18.03 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 595353060 +Total observed number : 595354140 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:35.73 +CPU time used : 00:05:33.52 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 5160723 +Total observed number : 5165677 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:07:39.86 +CPU time used : 00:07:32.53 Generator state: N/A @@ -898,11 +898,11 @@ p-value of test : eps ***** A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 684.21 -p-value of test :2.7e-299 ***** +A2 test on the values of A2 (m-NP) : 643.06 +p-value of test :2.0e-281 ***** -Test on the Nm values of W_{n,i}(mNP1): 716.57 -p-value of test : eps ***** +Test on the Nm values of W_{n,i}(mNP1): 665.04 +p-value of test :5.7e-291 ***** Test on the jump times of Y (superposition of Yn): @@ -912,7 +912,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:03:43.18 +CPU time used : 00:03:45.93 Generator state: N/A @@ -947,7 +947,7 @@ A2 test based on the spacings between the A2 test on the values of A2 (m-NP) : 714.74 p-value of test : eps ***** -Test on the Nm values of W_{n,i}(mNP1):15422.36 +Test on the Nm values of W_{n,i}(mNP1):15664.35 p-value of test : eps ***** Test on the jump times of Y @@ -958,7 +958,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:21:20.54 +CPU time used : 00:22:03.37 Generator state: N/A @@ -993,7 +993,7 @@ A2 test based on the spacings between the A2 test on the values of A2 (m-NP) : 357.37 p-value of test :3.2e-157 ***** -Test on the Nm values of W_{n,i}(mNP1): 8314.32 +Test on the Nm values of W_{n,i}(mNP1): 8214.28 p-value of test : eps ***** Test on the jump times of Y @@ -1004,7 +1004,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:36:51.40 +CPU time used : 00:37:25.63 Generator state: N/A @@ -1062,7 +1062,7 @@ Stat. AD after spacings (mNP2-S) : 8.93e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:06.06 +CPU time used : 00:04:12.01 Generator state: N/A @@ -1082,11 +1082,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 7658.20 +Chi-square statistic :10088.46 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:45.45 +CPU time used : 00:01:39.94 Generator state: N/A @@ -1106,11 +1106,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 7.48 -p-value of test : 0.38 +Chi-square statistic : 8.23 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:00.90 +CPU time used : 00:01:58.79 Generator state: N/A @@ -1130,11 +1130,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic :28619.70 +Chi-square statistic :30830.20 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:38.90 +CPU time used : 00:01:37.96 Generator state: N/A @@ -1154,11 +1154,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 13.78 -p-value of test : 0.74 +Chi-square statistic : 30.48 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:01:55.89 +CPU time used : 00:01:55.15 Generator state: N/A @@ -1178,11 +1178,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 2.45e+5 +Chi-square statistic : 2.23e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:07.62 +CPU time used : 00:02:08.79 Generator state: N/A @@ -1202,11 +1202,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 3209.35 +Chi-square statistic : 4075.75 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:27.54 +CPU time used : 00:02:33.11 Generator state: N/A @@ -1226,11 +1226,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 45.15 -p-value of test : 0.80 +Chi-square statistic : 53.37 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:02:24.57 +CPU time used : 00:02:33.09 Generator state: N/A @@ -1250,11 +1250,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 41.45 -p-value of test : 0.89 +Chi-square statistic : 48.26 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:23.29 +CPU time used : 00:02:31.97 Generator state: N/A @@ -1274,11 +1274,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 2.07e+5 +Chi-square statistic : 2.01e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:42.57 +CPU time used : 00:02:54.98 Generator state: N/A @@ -1298,11 +1298,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 438.28 -p-value of test : 0.43 +Chi-square statistic : 390.80 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:03:55.45 +CPU time used : 00:04:01.50 Generator state: N/A @@ -1322,11 +1322,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1.90e+6 +Chi-square statistic : 2.11e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:05.95 +CPU time used : 00:04:09.46 Generator state: N/A @@ -1346,11 +1346,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7145.76 -p-value of test : 0.20 +Chi-square statistic : 6939.86 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:04:08.86 +CPU time used : 00:04:10.09 Generator state: N/A @@ -1370,22 +1370,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.24 +Kolmogorov-Smirnov+ statistic = D+ : 3.79e-7 +p-value of test : 1 - 3.8e-7 ***** -Kolmogorov-Smirnov- statistic = D- : 0.52 -p-value of test : 0.04 +Kolmogorov-Smirnov- statistic = D- : 1.00 +p-value of test : 2.1e-15 ***** -Anderson-Darling statistic = A2 : 1.62 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 66.48 +p-value of test : 1.6e-30 ***** Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 30.93 -p-value of test : 0.42 +Chi-square statistic : 198.35 +p-value of test : 1.0e-26 ***** ----------------------------------------------- -CPU time used : 00:02:04.29 +CPU time used : 00:02:05.81 Generator state: N/A @@ -1405,22 +1405,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.12 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 1.03 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 1.15 +p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 58.71 -p-value of test : 0.52 +Chi-square statistic : 48.03 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:05:01.86 +CPU time used : 00:04:59.79 Generator state: N/A @@ -1454,12 +1454,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 284.89 +Value of the statistic : 321.07 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:31.71 +CPU time used : 00:01:31.56 Generator state: N/A @@ -1493,12 +1493,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic :24849.56 +Value of the statistic :30400.16 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:37.63 +CPU time used : 00:02:38.10 Generator state: N/A @@ -1532,12 +1532,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 1.85e+6 +Value of the statistic : 1.82e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:58.96 +CPU time used : 00:02:01.29 Generator state: N/A @@ -1571,12 +1571,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 -Value of the statistic : 5.81e+6 +Value of the statistic : 5.82e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:58.51 +CPU time used : 00:03:54.94 Generator state: N/A @@ -1611,22 +1611,22 @@ Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 -Observed number of collisions : 305479766 +Observed number of collisions : 305342617 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743471303766 - j = 1 : 9453178 - j = 2 : 13767676 - j = 3 : 11175892 - j = 4 : 15001281 - j = 5 : 35020793 + j = 0 : 1743471166617 + j = 1 : 9474490 + j = 2 : 13914840 + j = 3 : 11245663 + j = 4 : 14932785 + j = 5 : 35019265 ----------------------------------------------- -CPU time used : 00:04:37.50 +CPU time used : 00:04:58.75 Generator state: N/A @@ -1661,22 +1661,22 @@ Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 -Observed number of collisions : 34523 +Observed number of collisions : 34631 p-value of test : 1 - eps1 ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743165858523 - j = 1 : 399930955 - j = 2 : 34521 - j = 3 : 1 + j = 0 : 1743165858631 + j = 1 : 399930743 + j = 2 : 34621 + j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:44.34 +CPU time used : 00:05:36.62 Generator state: N/A @@ -1700,36 +1700,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 7.1e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 1.71e-4 -p-value of test : 0.9998 ***** +Kolmogorov-Smirnov- statistic = D- : 6.67e-3 +p-value of test : 0.9913 -Anderson-Darling statistic = A2 : 6.44 -p-value of test : 6.3e-4 ***** +Anderson-Darling statistic = A2 : 3.47 +p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 3.99e+6 -p-value of test : 0.9999 ***** +p-value of test : 0.9953 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 6.14e-6 -p-value of test : 1 - 6.1e-6 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.98 -p-value of test : 1.0e-65 ***** +Kolmogorov-Smirnov- statistic = D- : 0.61 +p-value of test : 2.5e-15 ***** -Anderson-Darling statistic = A2 : 202.19 -p-value of test : 1.1e-89 ***** +Anderson-Darling statistic = A2 : 21.51 +p-value of test : 9.6e-11 ***** ----------------------------------------------- -CPU time used : 00:04:09.79 +CPU time used : 00:05:05.62 Generator state: N/A @@ -1753,36 +1753,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 3.63e-5 -p-value of test : 1 - 3.6e-5 ***** +Kolmogorov-Smirnov+ statistic = D+ : 4.04e-8 +p-value of test : 1 - 4.0e-8 ***** -Kolmogorov-Smirnov- statistic = D- : 0.57 -p-value of test : 4.1e-10 ***** +Kolmogorov-Smirnov- statistic = D- : 0.96 +p-value of test : 8.0e-44 ***** -Anderson-Darling statistic = A2 : 33.00 -p-value of test : 7.9e-16 ***** +Anderson-Darling statistic = A2 : 141.73 +p-value of test : 2.3e-63 ***** Test on the sum of all N observations Number of degrees of freedom : 2999970 -Chi-square statistic : 3.02e+6 -p-value of test : 9.0e-18 ***** +Chi-square statistic : 3.04e+6 +p-value of test : 1.3e-68 ***** ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.83 -p-value of test : 9.0e-24 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.62 +p-value of test : 4.2e-12 ***** -Kolmogorov-Smirnov- statistic = D- : 0.089 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.03 -Anderson-Darling statistic = A2 : 34.04 -p-value of test : 2.8e-16 ***** +Anderson-Darling statistic = A2 : 14.30 +p-value of test : 1.6e-7 ***** ----------------------------------------------- -CPU time used : 00:03:55.86 +CPU time used : 00:04:37.48 Generator state: N/A @@ -1806,36 +1806,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.10 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.051 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 0.077 +p-value of test : 0.75 -Anderson-Darling statistic = A2 : 1.22 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.88 +p-value of test : 0.65 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.59 -p-value of test : 1.7e-7 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.63 +p-value of test : 1.2e-8 ***** -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.11 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 7.80 -p-value of test : 1.5e-4 ***** +Anderson-Darling statistic = A2 : 10.89 +p-value of test : 5.5e-6 ***** ----------------------------------------------- -CPU time used : 00:03:06.70 +CPU time used : 00:03:35.87 Generator state: N/A @@ -1859,36 +1859,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 2.56e-4 -p-value of test : 0.9997 ***** +Kolmogorov-Smirnov+ statistic = D+ : 5.93e-5 +p-value of test : 1 - 5.9e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 0.84 -p-value of test : 2.2e-16 ***** +Kolmogorov-Smirnov- statistic = D- : 0.65 +p-value of test : 3.5e-9 ***** -Anderson-Darling statistic = A2 : 55.16 -p-value of test : 1.5e-25 ***** +Anderson-Darling statistic = A2 : 33.90 +p-value of test : 3.2e-16 ***** Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.02e+6 -p-value of test : 2.6e-26 ***** +p-value of test : 2.4e-17 ***** ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 1.00 -p-value of test : 4.4e-57 ***** +p-value of test : 1.9e-87 ***** -Kolmogorov-Smirnov- statistic = D- : 7.17e-4 -p-value of test : 0.9993 ***** +Kolmogorov-Smirnov- statistic = D- : 1.64e-5 +p-value of test : 1 - 1.6e-5 ***** -Anderson-Darling statistic = A2 : 113.76 -p-value of test : 3.6e-51 ***** +Anderson-Darling statistic = A2 : 187.06 +p-value of test : 4.1e-83 ***** ----------------------------------------------- -CPU time used : 00:03:37.98 +CPU time used : 00:04:05.63 Generator state: N/A @@ -1908,17 +1908,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.31 -p-value of test : 2.7e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.63 +p-value of test : 4.2e-16 ***** -Kolmogorov-Smirnov- statistic = D- : 0.45 -p-value of test : 2.8e-8 ***** +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 7.5e-3 -Anderson-Darling statistic = A2 : 11.34 -p-value of test : 3.4e-6 ***** +Anderson-Darling statistic = A2 : 18.96 +p-value of test : 1.3e-9 ***** ----------------------------------------------- -CPU time used : 00:03:07.72 +CPU time used : 00:04:27.79 Generator state: N/A @@ -1938,17 +1938,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.98 -p-value of test : 3.9e-34 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.92 +p-value of test : 5.0e-23 ***** -Kolmogorov-Smirnov- statistic = D- : 0.013 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 60.29 -p-value of test : 8.2e-28 ***** +Anderson-Darling statistic = A2 : 35.34 +p-value of test : 7.4e-17 ***** ----------------------------------------------- -CPU time used : 00:02:13.59 +CPU time used : 00:02:52.66 Generator state: N/A @@ -1968,17 +1968,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.00 -p-value of test : 1.8e-47 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.98 +p-value of test : 3.8e-36 ***** -Kolmogorov-Smirnov- statistic = D- : 2.65e-3 -p-value of test : 0.9972 +Kolmogorov-Smirnov- statistic = D- : 7.20e-3 +p-value of test : 0.9917 -Anderson-Darling statistic = A2 : 90.09 -p-value of test : 7.7e-41 ***** +Anderson-Darling statistic = A2 : 69.55 +p-value of test : 7.3e-32 ***** ----------------------------------------------- -CPU time used : 00:02:49.59 +CPU time used : 00:03:33.79 Generator state: N/A @@ -1998,17 +1998,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.43e-4 -p-value of test : 0.09 +Kolmogorov-Smirnov+ statistic = D+ : 3.99e-4 +p-value of test : 1.7e-3 -Kolmogorov-Smirnov- statistic = D- : 1.75e-4 -p-value of test : 0.29 +Kolmogorov-Smirnov- statistic = D- : 4.10e-4 +p-value of test : 1.2e-3 -Anderson-Darling statistic = A2 : 1.59 -p-value of test : 0.16 +Anderson-Darling statistic = A2 : 6.42 +p-value of test : 6.3e-4 ***** ----------------------------------------------- -CPU time used : 00:00:41.75 +CPU time used : 00:00:44.97 Generator state: N/A @@ -2028,17 +2028,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.16e-4 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 1.42e-4 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 7.47e-5 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 1.22e-4 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 0.61 -p-value of test : 0.64 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:00:43.90 +CPU time used : 00:00:47.63 Generator state: N/A @@ -2057,11 +2057,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.12 -p-value of test : 0.55 +Normal statistic : 0.024 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:00:45.23 +CPU time used : 00:00:46.09 Generator state: N/A @@ -2080,11 +2080,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.055 -p-value of test : 0.48 +Normal statistic : -0.043 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:00:44.77 +CPU time used : 00:00:45.50 Generator state: N/A @@ -2109,11 +2109,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 87.26 +Normal statistic : 116.33 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:28.38 +CPU time used : 00:03:18.84 Generator state: N/A @@ -2138,11 +2138,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.40 -p-value of test : 0.65 +Normal statistic : 0.28 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:02:32.11 +CPU time used : 00:03:25.20 Generator state: N/A @@ -2162,11 +2162,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic :29355.34 +Chi-square statistic :37977.11 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:43.52 +CPU time used : 00:01:44.18 Generator state: N/A @@ -2186,11 +2186,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 53.12 -p-value of test : 0.89 +Chi-square statistic : 95.38 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:02:12.27 +CPU time used : 00:02:08.43 Generator state: N/A @@ -2210,11 +2210,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 58.53 -p-value of test : 0.76 +Chi-square statistic : 57.17 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:02:11.68 +CPU time used : 00:02:09.81 Generator state: N/A @@ -2234,11 +2234,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic :17154.47 +Chi-square statistic :15551.32 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:43.16 +CPU time used : 00:01:44.11 Generator state: N/A @@ -2258,11 +2258,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 295.11 +Chi-square statistic : 435.48 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:10.88 +CPU time used : 00:02:06.52 Generator state: N/A @@ -2282,11 +2282,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 40.71 -p-value of test : 0.31 +Chi-square statistic : 33.79 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:02:11.66 +CPU time used : 00:02:08.95 Generator state: N/A @@ -2306,11 +2306,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic :29227.97 +Chi-square statistic :13229.02 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:24.34 +CPU time used : 00:03:28.36 Generator state: N/A @@ -2330,22 +2330,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.097 -p-value of test : 0.78 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.48 -p-value of test : 5.8e-3 +Kolmogorov-Smirnov- statistic = D- : 0.079 +p-value of test : 0.84 -Anderson-Darling statistic = A2 : 3.13 -p-value of test : 0.02 +Anderson-Darling statistic = A2 : 1.23 +p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 52.69 -p-value of test : 0.09 +Chi-square statistic : 31.11 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:53.25 +CPU time used : 00:01:55.22 Generator state: N/A @@ -2365,22 +2365,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.65 - -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.079 p-value of test : 0.84 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 + Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 41.31 -p-value of test : 0.41 +Chi-square statistic : 35.77 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:53.52 +CPU time used : 00:01:55.91 Generator state: N/A @@ -2400,11 +2400,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 3.35 -p-value of test : 0.34 +Chi-square statistic : 1.51 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:03:08.25 +CPU time used : 00:03:13.13 Generator state: N/A @@ -2424,11 +2424,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.82 -p-value of test : 0.61 +Chi-square statistic : 0.51 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:03:06.06 +CPU time used : 00:03:13.61 Generator state: N/A @@ -2448,11 +2448,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.23 -p-value of test : 0.89 +Chi-square statistic : 1.77 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:02:09.97 +CPU time used : 00:02:13.91 Generator state: N/A @@ -2472,11 +2472,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 2.14 -p-value of test : 0.34 +Chi-square statistic : 5.27 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:46.25 +CPU time used : 00:01:49.27 Generator state: N/A @@ -2496,22 +2496,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.10 -p-value of test : 0.76 +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.06 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.023 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.64 +Anderson-Darling statistic = A2 : 2.08 +p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 139.59 -p-value of test : 0.27 +Chi-square statistic : 99.81 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:16.15 +CPU time used : 00:01:16.47 Generator state: N/A @@ -2532,24 +2532,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 -Anderson-Darling statistic = A2 : 1.17 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17422.18 -p-value of test : 0.52 +Chi-square statistic :17337.36 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:02.13 +CPU time used : 00:02:03.68 Generator state: N/A @@ -2572,7 +2572,7 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 831.40 +ChiSquare statistic : 1030.31 p-value of test : eps ***** @@ -2580,7 +2580,7 @@ p-value of test : eps ***** Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 567.52 +ChiSquare statistic : 496.97 p-value of test : eps ***** @@ -2588,7 +2588,7 @@ p-value of test : eps ***** Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 454.89 +ChiSquare statistic : 298.90 p-value of test : eps ***** @@ -2596,7 +2596,7 @@ p-value of test : eps ***** Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 431.20 +ChiSquare statistic : 560.47 p-value of test : eps ***** @@ -2604,12 +2604,12 @@ p-value of test : eps ***** Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 355.92 +ChiSquare statistic : 426.40 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:02.97 +CPU time used : 00:01:02.70 Generator state: N/A @@ -2632,44 +2632,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 31.44 -p-value of test : 0.69 +ChiSquare statistic : 35.41 +p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 43.70 -p-value of test : 0.15 +ChiSquare statistic : 53.34 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 15.72 -p-value of test : 0.92 +ChiSquare statistic : 29.44 +p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 27.97 -p-value of test : 0.26 +ChiSquare statistic : 27.18 +p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 12.59 -p-value of test : 0.76 +ChiSquare statistic : 25.66 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:01:03.50 +CPU time used : 00:01:03.90 Generator state: N/A @@ -2692,44 +2692,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 161.87 -p-value of test : 0.17 +ChiSquare statistic : 241.00 +p-value of test : 1.2e-6 ***** ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 194.21 -p-value of test : 4.7e-3 +ChiSquare statistic : 205.01 +p-value of test : 9.3e-4 ***** ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 491.25 -p-value of test : 0.60 +ChiSquare statistic : 551.03 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 131.03 -p-value of test : 0.60 +ChiSquare statistic : 141.37 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 79.35 -p-value of test : 0.31 +ChiSquare statistic : 75.43 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:01:20.52 +CPU time used : 00:01:22.22 Generator state: N/A @@ -2752,44 +2752,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 135.55 -p-value of test : 0.72 +ChiSquare statistic : 157.32 +p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 151.74 -p-value of test : 0.36 +ChiSquare statistic : 141.58 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 440.14 -p-value of test : 0.97 +ChiSquare statistic : 450.34 +p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 103.30 -p-value of test : 0.98 +ChiSquare statistic : 117.67 +p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 75.08 -p-value of test : 0.44 +ChiSquare statistic : 97.26 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:20.72 +CPU time used : 00:01:23.75 Generator state: N/A @@ -2812,44 +2812,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 387.23 -p-value of test : 0.44 +ChiSquare statistic : 406.78 +p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 406.13 -p-value of test : 0.21 +ChiSquare statistic : 362.34 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5052.96 -p-value of test : 0.30 +ChiSquare statistic : 4773.79 +p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 347.14 -p-value of test : 0.87 +ChiSquare statistic : 416.59 +p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 222.22 -p-value of test : 0.13 +ChiSquare statistic : 195.64 +p-value of test : 0.57 ----------------------------------------------- -CPU time used : 00:01:06.88 +CPU time used : 00:01:10.90 Generator state: N/A @@ -2872,44 +2872,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 397.60 -p-value of test : 0.31 +ChiSquare statistic : 432.73 +p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 309.29 -p-value of test : 0.9979 +ChiSquare statistic : 389.48 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4940.81 -p-value of test : 0.72 +ChiSquare statistic : 4955.45 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 337.26 -p-value of test : 0.93 +ChiSquare statistic : 396.31 +p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 189.69 -p-value of test : 0.69 +ChiSquare statistic : 183.61 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:01:07.13 +CPU time used : 00:01:10.63 Generator state: N/A @@ -2930,18 +2930,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 5.31 -p-value of test : 0.95 +Chi2 statistic for size of jumps : 20.01 +p-value of test : 0.07 ----------------------------------------------- -Normal statistic for number of jumps : -0.92 -p-value of test : 0.82 +Normal statistic for number of jumps : -0.27 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:03:03.50 +CPU time used : 00:03:02.72 Generator state: N/A @@ -2962,18 +2962,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 12.16 -p-value of test : 0.43 +Chi2 statistic for size of jumps : 9.99 +p-value of test : 0.62 ----------------------------------------------- -Normal statistic for number of jumps : 2.92 -p-value of test : 1.7e-3 +Normal statistic for number of jumps : 2.98e-3 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:03:05.20 +CPU time used : 00:03:03.56 Generator state: N/A @@ -2993,24 +2993,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.50 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.71 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.45 Tests on the sum of all N observations -Standardized normal statistic : -5.43e-3 -p-value of test : 0.50 +Standardized normal statistic : -0.28 +p-value of test : 0.61 -Sample variance : 0.42 -p-value of test : 0.93 +Sample variance : 0.35 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:01:02.18 +CPU time used : 00:01:01.02 Generator state: N/A @@ -3030,24 +3030,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.42 +Kolmogorov-Smirnov- statistic = D- : 0.078 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.72 +Anderson-Darling statistic = A2 : 1.01 +p-value of test : 0.35 Tests on the sum of all N observations -Standardized normal statistic : -0.25 -p-value of test : 0.60 +Standardized normal statistic : -0.94 +p-value of test : 0.83 -Sample variance : 1.27 -p-value of test : 0.25 +Sample variance : 1.54 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:01:30.72 +CPU time used : 00:01:17.50 Generator state: N/A @@ -3067,17 +3067,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.045 -p-value of test : 5.1e-8 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.032 +p-value of test : 2.7e-4 ***** -Kolmogorov-Smirnov- statistic = D- : 0.044 -p-value of test : 9.1e-8 ***** +Kolmogorov-Smirnov- statistic = D- : 0.018 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 32.26 -p-value of test : 1.7e-15 ***** +Anderson-Darling statistic = A2 : 6.83 +p-value of test : 4.1e-4 ***** ----------------------------------------------- -CPU time used : 00:00:57.61 +CPU time used : 00:00:58.04 Generator state: N/A @@ -3097,17 +3097,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 9.92e-3 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.016 +p-value of test : 0.11 -Kolmogorov-Smirnov- statistic = D- : 7.53e-3 -p-value of test : 0.63 +Kolmogorov-Smirnov- statistic = D- : 5.72e-3 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 0.58 -p-value of test : 0.67 +Anderson-Darling statistic = A2 : 0.89 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:00:56.15 +CPU time used : 00:00:56.56 Generator state: N/A @@ -3127,17 +3127,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 1279.06 +Chi-square statistic : 4943.38 p-value of test : eps ***** ----------------------------------------------- -Global longest run of 1 : 23.00 +Global longest run of 1 : 26.00 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:01:54.93 +CPU time used : 00:02:01.77 Generator state: N/A @@ -3157,8 +3157,8 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.22 -p-value of test : 0.25 +Chi-square statistic : 3.34 +p-value of test : 0.91 ----------------------------------------------- Global longest run of 1 : 32.00 @@ -3167,7 +3167,7 @@ p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:57.25 +CPU time used : 00:02:02.49 Generator state: N/A @@ -3187,22 +3187,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.012 -p-value of test : 0.99 +Kolmogorov-Smirnov+ statistic = D+ : 0.80 +p-value of test : 1.3e-7 ***** -Kolmogorov-Smirnov- statistic = D- : 0.52 -p-value of test : 2.5e-3 +Kolmogorov-Smirnov- statistic = D- : 1.70e-5 +p-value of test : 1 - 1.7e-5 ***** -Anderson-Darling statistic = A2 : 3.07 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 36.93 +p-value of test : 1.5e-17 ***** Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 247.00 -p-value of test : 0.01 +Chi-square statistic : 76.57 +p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:03:27.93 +CPU time used : 00:03:23.00 Generator state: N/A @@ -3222,22 +3222,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.24 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.049 +p-value of test : 0.92 -Anderson-Darling statistic = A2 : 0.82 -p-value of test : 0.47 +Anderson-Darling statistic = A2 : 1.03 +p-value of test : 0.34 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 211.46 -p-value of test : 0.28 +Chi-square statistic : 173.58 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:03:32.90 +CPU time used : 00:03:28.00 Generator state: N/A @@ -3257,22 +3257,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.17e-5 -p-value of test : 1 - 1.2e-5 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.64 +p-value of test : 7.7e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 1.00 -p-value of test : 4.6e-25 ***** +Kolmogorov-Smirnov- statistic = D- : 0.039 +p-value of test : 0.95 -Anderson-Darling statistic = A2 : 64.86 -p-value of test : 8.3e-30 ***** +Anderson-Darling statistic = A2 : 8.07 +p-value of test : 1.2e-4 ***** Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :11645.57 -p-value of test : 1.0e-28 ***** +Chi-square statistic : 9512.68 +p-value of test : 0.9998 ***** ----------------------------------------------- -CPU time used : 00:01:17.93 +CPU time used : 00:01:17.65 Generator state: N/A @@ -3292,22 +3292,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.046 -p-value of test : 0.93 +Kolmogorov-Smirnov+ statistic = D+ : 0.037 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 1.87 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.76 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10246.61 -p-value of test : 0.04 +Chi-square statistic :10116.20 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:20.45 +CPU time used : 00:01:20.09 Generator state: N/A @@ -3327,11 +3327,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.76 -p-value of test : 0.22 +Normal statistic : 2.01 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:33.56 +CPU time used : 00:01:31.97 Generator state: N/A @@ -3351,11 +3351,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.56 -p-value of test : 0.71 +Normal statistic : -0.24 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:29.09 +CPU time used : 00:01:27.59 Generator state: N/A @@ -3375,11 +3375,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.54 -p-value of test : 0.94 +Normal statistic : -1.38 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:05:49.83 +CPU time used : 00:05:45.97 Generator state: N/A @@ -3412,11 +3412,11 @@ p-value of test :3.2e-157 ***** Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic :63983.55 +Chi-square statistic :71267.12 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:31.93 +CPU time used : 00:02:29.47 Generator state: N/A @@ -3438,22 +3438,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.096 -p-value of test : 0.78 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 1.29 -p-value of test : 0.24 +Anderson-Darling statistic = A2 : 1.23 +p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4993.47 -p-value of test : 0.15 +Chi-square statistic : 4878.54 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:36.86 +CPU time used : 00:02:34.20 Generator state: N/A @@ -3475,11 +3475,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic :34196.98 +Chi-square statistic :36294.33 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:52.02 +CPU time used : 00:01:50.84 Generator state: N/A @@ -3501,11 +3501,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4350.61 -p-value of test : 5.6e-3 +Chi-square statistic : 4033.07 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:55.86 +CPU time used : 00:01:56.15 Generator state: N/A @@ -3527,11 +3527,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic : 4.62e+5 +Chi-square statistic : 4.43e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:03.02 +CPU time used : 00:02:04.79 Generator state: N/A @@ -3553,11 +3553,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11584.47 -p-value of test : 0.94 +Chi-square statistic :11915.30 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:02:09.09 +CPU time used : 00:02:11.00 Generator state: N/A @@ -3579,20 +3579,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 4344.22 +Chi2 statistic for number of runs : 8531.63 p-value of test : eps ***** ----------------------------------------------- -Total number of bits: 7999998579 +Total number of bits: 7999997880 -Normal statistic for number of bits : -0.011 -p-value of test : 0.50 +Normal statistic for number of bits : -0.017 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:35.63 +CPU time used : 00:01:36.20 Generator state: N/A @@ -3614,20 +3614,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 41.13 -p-value of test : 0.90 +Chi2 statistic for number of runs : 51.31 +p-value of test : 0.58 ----------------------------------------------- -Total number of bits: 8000090142 +Total number of bits: 7999848141 -Normal statistic for number of bits : 0.71 -p-value of test : 0.24 +Normal statistic for number of bits : -1.20 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:37.68 +CPU time used : 00:01:37.61 Generator state: N/A @@ -3647,24 +3647,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.44 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 0.47 +p-value of test : 7.6e-3 -Kolmogorov-Smirnov- statistic = D- : 0.46 +Kolmogorov-Smirnov- statistic = D- : 0.45 p-value of test : 0.01 -Anderson-Darling statistic = A2 : 3.23 +Anderson-Darling statistic = A2 : 3.33 p-value of test : 0.02 Tests on the sum of all N observations -Standardized normal statistic : -0.031 -p-value of test : 0.51 +Standardized normal statistic : -0.045 +p-value of test : 0.52 -Sample variance : 6.74e-3 -p-value of test : 1 - 2.7e-9 ***** +Sample variance : 4.41e-3 +p-value of test : 1 - 4.1e-10 ***** ----------------------------------------------- -CPU time used : 00:03:24.18 +CPU time used : 00:03:25.61 Generator state: N/A @@ -3684,24 +3684,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 0.67 +p-value of test : 2.9e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 0.71 -p-value of test : 6.8e-6 ***** +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.15 -Anderson-Darling statistic = A2 : 5.83 -p-value of test : 1.3e-3 +Anderson-Darling statistic = A2 : 5.14 +p-value of test : 2.6e-3 Tests on the sum of all N observations -Standardized normal statistic : 1.85 -p-value of test : 0.03 +Standardized normal statistic : -1.54 +p-value of test : 0.94 -Sample variance : 5.12e-4 -p-value of test : 1 - 2.6e-14 ***** +Sample variance : 8.45e-4 +p-value of test : 1 - 2.4e-13 ***** ----------------------------------------------- -CPU time used : 00:03:11.95 +CPU time used : 00:03:15.13 Generator state: N/A @@ -3721,24 +3721,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.59 -Kolmogorov-Smirnov- statistic = D- : 0.033 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.44 -Anderson-Darling statistic = A2 : 2.28 -p-value of test : 0.07 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.79 Tests on the sum of all N observations -Standardized normal statistic : -1.98 -p-value of test : 0.98 +Standardized normal statistic : 0.30 +p-value of test : 0.38 -Sample variance : 0.63 -p-value of test : 0.77 +Sample variance : 1.20 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:03:28.40 +CPU time used : 00:03:29.61 Generator state: N/A @@ -3758,24 +3758,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.052 -p-value of test : 0.92 +Kolmogorov-Smirnov+ statistic = D+ : 0.47 +p-value of test : 6.8e-3 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.61 -Anderson-Darling statistic = A2 : 0.43 -p-value of test : 0.82 +Anderson-Darling statistic = A2 : 2.94 +p-value of test : 0.03 Tests on the sum of all N observations -Standardized normal statistic : 0.73 -p-value of test : 0.23 +Standardized normal statistic : -1.77 +p-value of test : 0.96 -Sample variance : 0.97 -p-value of test : 0.46 +Sample variance : 0.23 +p-value of test : 0.9908 ----------------------------------------------- -CPU time used : 00:03:12.81 +CPU time used : 00:03:17.45 Generator state: N/A @@ -3788,7 +3788,7 @@ N/A Version: TestU01 1.2.3 Generator: stdin Number of statistics: 155 - Total CPU time: 06:21:08.93 + Total CPU time: 06:36:38.63 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0
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