http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/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 6284523..d85c937 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 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.JDKRandom +# RNG: org.apache.commons.rng.internal.source32.JDKRandom # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 @@ -46,7 +46,7 @@ p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:59.81 +CPU time used : 00:02:13.43 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 : 4.2e-3 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:39.36 +CPU time used : 00:02:31.45 Generator state: N/A @@ -137,7 +137,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:56.37 +CPU time used : 00:05:20.01 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 : 1335 -p-value of test : 0.78 +Observed number of collisions : 1358 +p-value of test : 0.56 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334455 - j = 1 : 599997330 - j = 2 : 1335 + j = 0 : 131940795334478 + j = 1 : 599997284 + j = 2 : 1358 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:20.59 +CPU time used : 00:05:10.45 Generator state: N/A @@ -241,7 +241,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:31.36 +CPU time used : 00:08:02.09 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 : 1405 -p-value of test : 0.14 +Observed number of collisions : 1347 +p-value of test : 0.67 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334525 - j = 1 : 599997190 - j = 2 : 1405 + j = 0 : 131940795334467 + j = 1 : 599997306 + j = 2 : 1347 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:30.79 +CPU time used : 00:09:48.31 Generator state: N/A @@ -345,7 +345,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:37.50 +CPU time used : 00:06:32.65 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 : 1337 -p-value of test : 0.76 +Observed number of collisions : 1304 +p-value of test : 0.95 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334457 - j = 1 : 599997326 - j = 2 : 1337 + j = 0 : 131940795334424 + j = 1 : 599997392 + j = 2 : 1304 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:29.25 +CPU time used : 00:09:18.34 Generator state: N/A @@ -435,21 +435,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 348341381 +Observed number of collisions : 348341382 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674501 - j = 1 : 379 - j = 2 : 154975099 - j = 3 : 96683141 + j = 0 : 131941143674502 + j = 1 : 378 + j = 2 : 154975098 + j = 3 : 96683142 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:32.00 +CPU time used : 00:06:07.28 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 : 1341 -p-value of test : 0.73 +Observed number of collisions : 1359 +p-value of test : 0.55 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334461 - j = 1 : 599997318 - j = 2 : 1341 + j = 0 : 131940795334479 + j = 1 : 599997282 + j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:24.46 +CPU time used : 00:09:14.67 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 : 348341180 +Observed number of collisions : 348341177 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674300 - j = 1 : 580 - j = 2 : 154975300 - j = 3 : 96682940 + j = 0 : 131941143674297 + j = 1 : 583 + j = 2 : 154975303 + j = 3 : 96682937 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:25.94 +CPU time used : 00:06:12.59 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 : 1376 -p-value of test : 0.38 +Observed number of collisions : 1398 +p-value of test : 0.18 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334496 - j = 1 : 599997248 - j = 2 : 1376 + j = 0 : 131940795334518 + j = 1 : 599997204 + j = 2 : 1398 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:52.76 +CPU time used : 00:09:33.03 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 11932277 +Total observed number : 11933154 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:24.28 +CPU time used : 00:05:30.56 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 201409327 +Total observed number : 201413089 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:55.26 +CPU time used : 00:02:29.26 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 4281972 +Total observed number : 4281267 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:15.55 +CPU time used : 00:04:15.57 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 396234610 +Total observed number : 396239267 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:05.72 +CPU time used : 00:02:48.63 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 313496568 +Total observed number : 313503824 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:22.26 +CPU time used : 00:03:14.61 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 85304229 +Total observed number : 85301574 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:57.89 +CPU time used : 00:05:21.39 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 745503 +Total observed number : 742603 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:56.14 +CPU time used : 00:05:22.97 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 595349080 +Total observed number : 595353060 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:03.40 +CPU time used : 00:05:35.73 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 5165123 +Total observed number : 5160723 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:30.52 +CPU time used : 00:07:39.86 Generator state: N/A @@ -898,10 +898,10 @@ 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) : 672.27 -p-value of test :4.1e-294 ***** +A2 test on the values of A2 (m-NP) : 684.21 +p-value of test :2.7e-299 ***** -Test on the Nm values of W_{n,i}(mNP1): 699.85 +Test on the Nm values of W_{n,i}(mNP1): 716.57 p-value of test : eps ***** Test on the jump times of Y @@ -912,7 +912,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:03:21.27 +CPU time used : 00:03:43.18 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):14871.66 +Test on the Nm values of W_{n,i}(mNP1):15422.36 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 : 00:14:24.21 +CPU time used : 00:21:20.54 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): 7943.61 +Test on the Nm values of W_{n,i}(mNP1): 8314.32 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 : 00:27:14.61 +CPU time used : 00:36:51.40 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 : 00:03:03.62 +CPU time used : 00:04:06.06 Generator state: N/A @@ -1082,11 +1082,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 4476.86 +Chi-square statistic : 7658.20 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:17.82 +CPU time used : 00:01:45.45 Generator state: N/A @@ -1106,11 +1106,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 6.89 -p-value of test : 0.44 +Chi-square statistic : 7.48 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:01:29.34 +CPU time used : 00:02:00.90 Generator state: N/A @@ -1130,11 +1130,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic :32196.55 +Chi-square statistic :28619.70 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:17.05 +CPU time used : 00:01:38.90 Generator state: N/A @@ -1154,11 +1154,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 15.15 -p-value of test : 0.65 +Chi-square statistic : 13.78 +p-value of test : 0.74 ----------------------------------------------- -CPU time used : 00:01:27.01 +CPU time used : 00:01:55.89 Generator state: N/A @@ -1178,11 +1178,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 2.23e+5 +Chi-square statistic : 2.45e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:38.42 +CPU time used : 00:02:07.62 Generator state: N/A @@ -1202,11 +1202,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 4075.22 +Chi-square statistic : 3209.35 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:46.06 +CPU time used : 00:02:27.54 Generator state: N/A @@ -1226,11 +1226,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 56.22 -p-value of test : 0.39 +Chi-square statistic : 45.15 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:01:41.81 +CPU time used : 00:02:24.57 Generator state: N/A @@ -1250,11 +1250,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 29.80 -p-value of test : 0.9970 +Chi-square statistic : 41.45 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:46.23 +CPU time used : 00:02:23.29 Generator state: N/A @@ -1274,11 +1274,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 2.01e+5 +Chi-square statistic : 2.07e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:06.05 +CPU time used : 00:02:42.57 Generator state: N/A @@ -1298,11 +1298,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 442.43 -p-value of test : 0.38 +Chi-square statistic : 438.28 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:03:03.40 +CPU time used : 00:03:55.45 Generator state: N/A @@ -1322,11 +1322,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 2.11e+6 +Chi-square statistic : 1.90e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:16.50 +CPU time used : 00:04:05.95 Generator state: N/A @@ -1346,11 +1346,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7191.96 -p-value of test : 0.11 +Chi-square statistic : 7145.76 +p-value of test : 0.20 ----------------------------------------------- -CPU time used : 00:03:10.00 +CPU time used : 00:04:08.86 Generator state: N/A @@ -1370,22 +1370,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.84e-7 -p-value of test : 1 - 2.8e-7 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.24 -Kolmogorov-Smirnov- statistic = D- : 1.00 -p-value of test : 4.2e-15 ***** +Kolmogorov-Smirnov- statistic = D- : 0.52 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 66.57 -p-value of test : 1.5e-30 ***** +Anderson-Darling statistic = A2 : 1.62 +p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 199.09 -p-value of test : 7.3e-27 ***** +Chi-square statistic : 30.93 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:43.97 +CPU time used : 00:02:04.29 Generator state: N/A @@ -1405,22 +1405,22 @@ sknuth_Run 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- : 0.13 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.56 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.67 +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 : 60 -Chi-square statistic : 51.69 -p-value of test : 0.77 +Chi-square statistic : 58.71 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:04:02.50 +CPU time used : 00:05:01.86 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 : 256.62 +Value of the statistic : 284.89 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:13.67 +CPU time used : 00:01:31.71 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 :29156.14 +Value of the statistic :24849.56 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:07.14 +CPU time used : 00:02:37.63 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 : 1.82e+6 +Value of the statistic : 1.85e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:30.29 +CPU time used : 00:01:58.96 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 : 5.82e+6 +Value of the statistic : 5.81e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:58.15 +CPU time used : 00:03:58.51 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 : 305341510 +Observed number of collisions : 305479766 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743471165510 - j = 1 : 9476333 - j = 2 : 13916426 - j = 3 : 11242897 - j = 4 : 14934640 - j = 5 : 35016751 + j = 0 : 1743471303766 + j = 1 : 9453178 + j = 2 : 13767676 + j = 3 : 11175892 + j = 4 : 15001281 + j = 5 : 35020793 ----------------------------------------------- -CPU time used : 00:03:36.95 +CPU time used : 00:04:37.50 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 : 34728 +Observed number of collisions : 34523 p-value of test : 1 - eps1 ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743165858728 - j = 1 : 399930544 - j = 2 : 34728 - j = 3 : 0 + j = 0 : 1743165858523 + j = 1 : 399930955 + j = 2 : 34521 + j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:28.63 +CPU time used : 00:05:44.34 Generator state: N/A @@ -1700,36 +1700,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 7.1e-4 ***** -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.36 +Kolmogorov-Smirnov- statistic = D- : 1.71e-4 +p-value of test : 0.9998 ***** -Anderson-Darling statistic = A2 : 0.99 -p-value of test : 0.36 +Anderson-Darling statistic = A2 : 6.44 +p-value of test : 6.3e-4 ***** Test on the sum of all N observations Number of degrees of freedom : 3999960 -Chi-square statistic : 4.00e+6 -p-value of test : 0.51 +Chi-square statistic : 3.99e+6 +p-value of test : 0.9999 ***** ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.019 -p-value of test : 0.96 +Kolmogorov-Smirnov+ statistic = D+ : 6.14e-6 +p-value of test : 1 - 6.1e-6 ***** -Kolmogorov-Smirnov- statistic = D- : 0.81 -p-value of test : 4.2e-29 ***** +Kolmogorov-Smirnov- statistic = D- : 0.98 +p-value of test : 1.0e-65 ***** -Anderson-Darling statistic = A2 : 57.56 -p-value of test : 1.3e-26 ***** +Anderson-Darling statistic = A2 : 202.19 +p-value of test : 1.1e-89 ***** ----------------------------------------------- -CPU time used : 00:03:17.37 +CPU time used : 00:04:09.79 Generator state: N/A @@ -1753,36 +1753,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 9.06e-4 -p-value of test : 0.9991 ***** +Kolmogorov-Smirnov+ statistic = D+ : 3.63e-5 +p-value of test : 1 - 3.6e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 0.60 -p-value of test : 4.8e-11 ***** +Kolmogorov-Smirnov- statistic = D- : 0.57 +p-value of test : 4.1e-10 ***** -Anderson-Darling statistic = A2 : 29.84 -p-value of test : 2.0e-14 ***** +Anderson-Darling statistic = A2 : 33.00 +p-value of test : 7.9e-16 ***** Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.02e+6 -p-value of test : 2.9e-15 ***** +p-value of test : 9.0e-18 ***** ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.93 -p-value of test : 5.9e-36 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.83 +p-value of test : 9.0e-24 ***** -Kolmogorov-Smirnov- statistic = D- : 0.046 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.089 +p-value of test : 0.59 -Anderson-Darling statistic = A2 : 56.41 -p-value of test : 4.1e-26 ***** +Anderson-Darling statistic = A2 : 34.04 +p-value of test : 2.8e-16 ***** ----------------------------------------------- -CPU time used : 00:03:00.54 +CPU time used : 00:03:55.86 Generator state: N/A @@ -1806,36 +1806,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.48 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.10 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.051 +p-value of test : 0.87 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 1.22 +p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.43 +p-value of test : 0.88 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.37 -p-value of test : 3.4e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.59 +p-value of test : 1.7e-7 ***** -Kolmogorov-Smirnov- statistic = D- : 0.42 -p-value of test : 4.4e-4 ***** +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.11 -Anderson-Darling statistic = A2 : 5.14 -p-value of test : 2.5e-3 +Anderson-Darling statistic = A2 : 7.80 +p-value of test : 1.5e-4 ***** ----------------------------------------------- -CPU time used : 00:02:24.46 +CPU time used : 00:03:06.70 Generator state: N/A @@ -1859,36 +1859,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 2.35e-4 -p-value of test : 0.9998 ***** +Kolmogorov-Smirnov+ statistic = D+ : 2.56e-4 +p-value of test : 0.9997 ***** -Kolmogorov-Smirnov- statistic = D- : 0.45 -p-value of test : 1.9e-4 ***** +Kolmogorov-Smirnov- statistic = D- : 0.84 +p-value of test : 2.2e-16 ***** -Anderson-Darling statistic = A2 : 9.23 -p-value of test : 3.3e-5 ***** +Anderson-Darling statistic = A2 : 55.16 +p-value of test : 1.5e-25 ***** Test on the sum of all N observations Number of degrees of freedom : 1999980 -Chi-square statistic : 2.01e+6 -p-value of test : 2.1e-6 ***** +Chi-square statistic : 2.02e+6 +p-value of test : 2.6e-26 ***** ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.99 -p-value of test : 1.8e-40 ***** +Kolmogorov-Smirnov+ statistic = D+ : 1.00 +p-value of test : 4.4e-57 ***** -Kolmogorov-Smirnov- statistic = D- : 5.24e-3 -p-value of test : 0.9942 +Kolmogorov-Smirnov- statistic = D- : 7.17e-4 +p-value of test : 0.9993 ***** -Anderson-Darling statistic = A2 : 77.07 -p-value of test : 3.8e-35 ***** +Anderson-Darling statistic = A2 : 113.76 +p-value of test : 3.6e-51 ***** ----------------------------------------------- -CPU time used : 00:02:50.30 +CPU time used : 00:03:37.98 Generator state: N/A @@ -1908,17 +1908,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.47 -p-value of test : 5.9e-9 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 2.7e-4 ***** -Kolmogorov-Smirnov- statistic = D- : 0.39 -p-value of test : 2.1e-6 ***** +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 2.8e-8 ***** -Anderson-Darling statistic = A2 : 12.59 -p-value of test : 9.4e-7 ***** +Anderson-Darling statistic = A2 : 11.34 +p-value of test : 3.4e-6 ***** ----------------------------------------------- -CPU time used : 00:02:24.79 +CPU time used : 00:03:07.72 Generator state: N/A @@ -1938,17 +1938,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.00 -p-value of test :2.9e-106 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.98 +p-value of test : 3.9e-34 ***** -Kolmogorov-Smirnov- statistic = D- : 2.52e-6 -p-value of test : 1 - 2.5e-6 ***** +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 225.84 -p-value of test :5.4e-100 ***** +Anderson-Darling statistic = A2 : 60.29 +p-value of test : 8.2e-28 ***** ----------------------------------------------- -CPU time used : 00:01:43.35 +CPU time used : 00:02:13.59 Generator state: N/A @@ -1968,17 +1968,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.99 -p-value of test : 6.6e-46 ***** +Kolmogorov-Smirnov+ statistic = D+ : 1.00 +p-value of test : 1.8e-47 ***** -Kolmogorov-Smirnov- statistic = D- : 1.99e-3 -p-value of test : 0.9979 +Kolmogorov-Smirnov- statistic = D- : 2.65e-3 +p-value of test : 0.9972 -Anderson-Darling statistic = A2 : 91.82 -p-value of test : 1.3e-41 ***** +Anderson-Darling statistic = A2 : 90.09 +p-value of test : 7.7e-41 ***** ----------------------------------------------- -CPU time used : 00:02:14.85 +CPU time used : 00:02:49.59 Generator state: N/A @@ -1998,17 +1998,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.87e-4 -p-value of test : 2.5e-3 +Kolmogorov-Smirnov+ statistic = D+ : 2.43e-4 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 4.10e-4 -p-value of test : 1.2e-3 +Kolmogorov-Smirnov- statistic = D- : 1.75e-4 +p-value of test : 0.29 -Anderson-Darling statistic = A2 : 6.23 -p-value of test : 7.8e-4 ***** +Anderson-Darling statistic = A2 : 1.59 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:00:34.56 +CPU time used : 00:00:41.75 Generator state: N/A @@ -2028,17 +2028,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 7.49e-5 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 2.16e-4 +p-value of test : 0.15 -Kolmogorov-Smirnov- statistic = D- : 8.53e-5 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 7.47e-5 +p-value of test : 0.80 -Anderson-Darling statistic = A2 : 0.25 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:00:33.70 +CPU time used : 00:00:43.90 Generator state: N/A @@ -2057,11 +2057,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.86e-3 -p-value of test : 0.50 +Normal statistic : -0.12 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:00:33.54 +CPU time used : 00:00:45.23 Generator state: N/A @@ -2080,11 +2080,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.038 -p-value of test : 0.52 +Normal statistic : 0.055 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:00:33.52 +CPU time used : 00:00:44.77 Generator state: N/A @@ -2109,11 +2109,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 116.34 +Normal statistic : 87.26 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:55.71 +CPU time used : 00:02:28.38 Generator state: N/A @@ -2138,11 +2138,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -1.87 -p-value of test : 0.97 +Normal statistic : -0.40 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:56.45 +CPU time used : 00:02:32.11 Generator state: N/A @@ -2162,11 +2162,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic :42542.13 +Chi-square statistic :29355.34 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:19.62 +CPU time used : 00:01:43.52 Generator state: N/A @@ -2186,11 +2186,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 101.15 -p-value of test : 4.5e-3 +Chi-square statistic : 53.12 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:36.22 +CPU time used : 00:02:12.27 Generator state: N/A @@ -2210,11 +2210,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 65.19 -p-value of test : 0.54 +Chi-square statistic : 58.53 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:37.25 +CPU time used : 00:02:11.68 Generator state: N/A @@ -2234,11 +2234,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic :23743.56 +Chi-square statistic :17154.47 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:23.84 +CPU time used : 00:01:43.16 Generator state: N/A @@ -2258,11 +2258,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 211.07 +Chi-square statistic : 295.11 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:34.86 +CPU time used : 00:02:10.88 Generator state: N/A @@ -2282,11 +2282,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 58.68 -p-value of test : 0.01 +Chi-square statistic : 40.71 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:01:43.95 +CPU time used : 00:02:11.66 Generator state: N/A @@ -2306,11 +2306,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic :13232.94 +Chi-square statistic :29227.97 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:50.78 +CPU time used : 00:03:24.34 Generator state: N/A @@ -2330,22 +2330,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.016 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.67 -p-value of test : 3.2e-5 ***** +Kolmogorov-Smirnov- statistic = D- : 0.48 +p-value of test : 5.8e-3 -Anderson-Darling statistic = A2 : 11.96 -p-value of test : 1.8e-6 ***** +Anderson-Darling statistic = A2 : 3.13 +p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 89.07 -p-value of test : 1.3e-5 ***** +Chi-square statistic : 52.69 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:26.68 +CPU time used : 00:01:53.25 Generator state: N/A @@ -2365,22 +2365,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 29.50 -p-value of test : 0.89 +Chi-square statistic : 41.31 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:25.47 +CPU time used : 00:01:53.52 Generator state: N/A @@ -2400,11 +2400,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.69 -p-value of test : 0.64 +Chi-square statistic : 3.35 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:11.01 +CPU time used : 00:03:08.25 Generator state: N/A @@ -2424,11 +2424,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.63 -p-value of test : 0.89 +Chi-square statistic : 1.82 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:02:11.25 +CPU time used : 00:03:06.06 Generator state: N/A @@ -2448,11 +2448,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.72 -p-value of test : 0.42 +Chi-square statistic : 0.23 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:32.53 +CPU time used : 00:02:09.97 Generator state: N/A @@ -2472,11 +2472,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 0.92 -p-value of test : 0.63 +Chi-square statistic : 2.14 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:17.71 +CPU time used : 00:01:46.25 Generator state: N/A @@ -2496,22 +2496,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.76 -Kolmogorov-Smirnov- statistic = D- : 0.056 -p-value of test : 0.91 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 1.64 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 0.60 +p-value of test : 0.64 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 104.50 -p-value of test : 0.95 +Chi-square statistic : 139.59 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:00:57.22 +CPU time used : 00:01:16.15 Generator state: N/A @@ -2532,24 +2532,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.16 +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 0.18 -Kolmogorov-Smirnov- statistic = D- : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 1.38 -p-value of test : 0.21 +Anderson-Darling statistic = A2 : 1.17 +p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17474.88 -p-value of test : 0.40 +Chi-square statistic :17422.18 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:52.06 +CPU time used : 00:02:02.13 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 : 883.35 +ChiSquare statistic : 831.40 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 : 619.01 +ChiSquare statistic : 567.52 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 : 434.44 +ChiSquare statistic : 454.89 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 : 618.93 +ChiSquare statistic : 431.20 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 : 563.57 +ChiSquare statistic : 355.92 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:47.14 +CPU time used : 00:01:02.97 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 : 22.53 -p-value of test : 0.96 +ChiSquare statistic : 31.44 +p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 34.66 -p-value of test : 0.48 +ChiSquare statistic : 43.70 +p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 33.31 -p-value of test : 0.12 +ChiSquare statistic : 15.72 +p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 33.14 -p-value of test : 0.10 +ChiSquare statistic : 27.97 +p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 11.27 -p-value of test : 0.84 +ChiSquare statistic : 12.59 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:00:48.07 +CPU time used : 00:01:03.50 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 : 194.70 -p-value of test : 4.4e-3 +ChiSquare statistic : 161.87 +p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 226.66 -p-value of test : 2.1e-5 ***** +ChiSquare statistic : 194.21 +p-value of test : 4.7e-3 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 433.65 -p-value of test : 0.99 +ChiSquare statistic : 491.25 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 146.19 -p-value of test : 0.26 +ChiSquare statistic : 131.03 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 64.81 -p-value of test : 0.77 +ChiSquare statistic : 79.35 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:00:54.98 +CPU time used : 00:01:20.52 Generator state: N/A @@ -2752,8 +2752,8 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 166.74 -p-value of test : 0.12 +ChiSquare statistic : 135.55 +p-value of test : 0.72 ----------------------------------------------- @@ -2768,28 +2768,28 @@ p-value of test : 0.36 Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 499.15 -p-value of test : 0.50 +ChiSquare statistic : 440.14 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 129.07 -p-value of test : 0.65 +ChiSquare statistic : 103.30 +p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 73.84 -p-value of test : 0.48 +ChiSquare statistic : 75.08 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:00:56.82 +CPU time used : 00:01:20.72 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 : 345.13 -p-value of test : 0.92 +ChiSquare statistic : 387.23 +p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 395.32 -p-value of test : 0.33 +ChiSquare statistic : 406.13 +p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4950.98 -p-value of test : 0.69 +ChiSquare statistic : 5052.96 +p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 383.38 -p-value of test : 0.41 +ChiSquare statistic : 347.14 +p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 222.52 +ChiSquare statistic : 222.22 p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:00:48.27 +CPU time used : 00:01:06.88 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 : 377.34 -p-value of test : 0.59 +ChiSquare statistic : 397.60 +p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 395.69 -p-value of test : 0.33 +ChiSquare statistic : 309.29 +p-value of test : 0.9979 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4789.59 -p-value of test : 0.98 +ChiSquare statistic : 4940.81 +p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 363.77 -p-value of test : 0.69 +ChiSquare statistic : 337.26 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 182.86 -p-value of test : 0.80 +ChiSquare statistic : 189.69 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:00:47.23 +CPU time used : 00:01:07.13 Generator state: N/A @@ -2930,18 +2930,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 18.22 -p-value of test : 0.11 +Chi2 statistic for size of jumps : 5.31 +p-value of test : 0.95 ----------------------------------------------- -Normal statistic for number of jumps : -0.64 -p-value of test : 0.74 +Normal statistic for number of jumps : -0.92 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:02:23.44 +CPU time used : 00:03:03.50 Generator state: N/A @@ -2962,18 +2962,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 4.23 -p-value of test : 0.98 +Chi2 statistic for size of jumps : 12.16 +p-value of test : 0.43 ----------------------------------------------- -Normal statistic for number of jumps : -1.49e-3 -p-value of test : 0.50 +Normal statistic for number of jumps : 2.92 +p-value of test : 1.7e-3 ----------------------------------------------- -CPU time used : 00:02:24.35 +CPU time used : 00:03:05.20 Generator state: N/A @@ -2993,24 +2993,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.093 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.59 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.25 -p-value of test : 0.97 +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.71 Tests on the sum of all N observations -Standardized normal statistic : 0.25 -p-value of test : 0.40 +Standardized normal statistic : -5.43e-3 +p-value of test : 0.50 -Sample variance : 0.90 -p-value of test : 0.52 +Sample variance : 0.42 +p-value of test : 0.93 ----------------------------------------------- -CPU time used : 00:00:57.87 +CPU time used : 00:01:02.18 Generator state: N/A @@ -3030,24 +3030,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.87 -p-value of test : 0.43 +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.72 Tests on the sum of all N observations -Standardized normal statistic : 0.58 -p-value of test : 0.28 +Standardized normal statistic : -0.25 +p-value of test : 0.60 -Sample variance : 1.45 -p-value of test : 0.16 +Sample variance : 1.27 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:02.31 +CPU time used : 00:01:30.72 Generator state: N/A @@ -3067,17 +3067,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.032 -p-value of test : 2.2e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.045 +p-value of test : 5.1e-8 ***** -Kolmogorov-Smirnov- statistic = D- : 0.016 -p-value of test : 0.11 +Kolmogorov-Smirnov- statistic = D- : 0.044 +p-value of test : 9.1e-8 ***** -Anderson-Darling statistic = A2 : 6.74 -p-value of test : 4.5e-4 ***** +Anderson-Darling statistic = A2 : 32.26 +p-value of test : 1.7e-15 ***** ----------------------------------------------- -CPU time used : 00:00:47.23 +CPU time used : 00:00:57.61 Generator state: N/A @@ -3097,17 +3097,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 4.86e-3 -p-value of test : 0.82 +Kolmogorov-Smirnov+ statistic = D+ : 9.92e-3 +p-value of test : 0.44 -Kolmogorov-Smirnov- statistic = D- : 0.011 -p-value of test : 0.37 +Kolmogorov-Smirnov- statistic = D- : 7.53e-3 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.31 -p-value of test : 0.93 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:00:46.19 +CPU time used : 00:00:56.15 Generator state: N/A @@ -3127,17 +3127,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4943.38 +Chi-square statistic : 1279.06 p-value of test : eps ***** ----------------------------------------------- -Global longest run of 1 : 26.00 +Global longest run of 1 : 23.00 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:01:35.59 +CPU time used : 00:01:54.93 Generator state: N/A @@ -3157,17 +3157,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 12.51 -p-value of test : 0.13 +Chi-square statistic : 10.22 +p-value of test : 0.25 ----------------------------------------------- -Global longest run of 1 : 35.00 -p-value of test : 0.14 +Global longest run of 1 : 32.00 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:40.70 +CPU time used : 00:01:57.25 Generator state: N/A @@ -3187,22 +3187,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.95 -p-value of test : 1.3e-13 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.012 +p-value of test : 0.99 -Kolmogorov-Smirnov- statistic = D- : 6.32e-5 -p-value of test : 1 - 6.3e-5 ***** +Kolmogorov-Smirnov- statistic = D- : 0.52 +p-value of test : 2.5e-3 -Anderson-Darling statistic = A2 : 38.61 -p-value of test : 2.7e-18 ***** +Anderson-Darling statistic = A2 : 3.07 +p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 70.73 -p-value of test : 1 - eps1 ***** +Chi-square statistic : 247.00 +p-value of test : 0.01 ----------------------------------------------- -CPU time used : 00:02:45.29 +CPU time used : 00:03:27.93 Generator state: N/A @@ -3222,22 +3222,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.68 -Kolmogorov-Smirnov- statistic = D- : 0.086 -p-value of test : 0.82 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.26 -Anderson-Darling statistic = A2 : 0.98 -p-value of test : 0.36 +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 179.20 -p-value of test : 0.85 +Chi-square statistic : 211.46 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:02:44.37 +CPU time used : 00:03:32.90 Generator state: N/A @@ -3257,22 +3257,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.60 -p-value of test : 2.6e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 1.17e-5 +p-value of test : 1 - 1.2e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 0.025 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 1.00 +p-value of test : 4.6e-25 ***** -Anderson-Darling statistic = A2 : 7.12 -p-value of test : 3.2e-4 ***** +Anderson-Darling statistic = A2 : 64.86 +p-value of test : 8.3e-30 ***** Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9518.02 -p-value of test : 0.9997 ***** +Chi-square statistic :11645.57 +p-value of test : 1.0e-28 ***** ----------------------------------------------- -CPU time used : 00:01:07.69 +CPU time used : 00:01:17.93 Generator state: N/A @@ -3292,22 +3292,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 7.40e-3 -p-value of test : 0.9921 +Kolmogorov-Smirnov+ statistic = D+ : 0.046 +p-value of test : 0.93 -Kolmogorov-Smirnov- statistic = D- : 0.48 -p-value of test : 5.5e-3 +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.08 -Anderson-Darling statistic = A2 : 4.56 -p-value of test : 4.9e-3 +Anderson-Darling statistic = A2 : 1.87 +p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10407.91 -p-value of test : 2.2e-3 +Chi-square statistic :10246.61 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:10.32 +CPU time used : 00:01:20.45 Generator state: N/A @@ -3327,11 +3327,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.37 -p-value of test : 0.65 +Normal statistic : 0.76 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:20.22 +CPU time used : 00:01:33.56 Generator state: N/A @@ -3351,11 +3351,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.05 -p-value of test : 0.85 +Normal statistic : -0.56 +p-value of test : 0.71 ----------------------------------------------- -CPU time used : 00:01:17.12 +CPU time used : 00:01:29.09 Generator state: N/A @@ -3375,11 +3375,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.52 -p-value of test : 0.70 +Normal statistic : -1.54 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:05:06.31 +CPU time used : 00:05:49.83 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 :70626.35 +Chi-square statistic :63983.55 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:09.32 +CPU time used : 00:02:31.93 Generator state: N/A @@ -3438,22 +3438,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.68 +Kolmogorov-Smirnov+ statistic = D+ : 0.096 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.13 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.80 +Anderson-Darling statistic = A2 : 1.29 +p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4881.37 -p-value of test : 0.53 +Chi-square statistic : 4993.47 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:02:13.45 +CPU time used : 00:02:36.86 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 :35758.91 +Chi-square statistic :34196.98 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:36.92 +CPU time used : 00:01:52.02 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 : 4071.97 -p-value of test : 0.69 +Chi-square statistic : 4350.61 +p-value of test : 5.6e-3 ----------------------------------------------- -CPU time used : 00:01:41.54 +CPU time used : 00:01:55.86 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 : 4.45e+5 +Chi-square statistic : 4.62e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:48.33 +CPU time used : 00:02:03.02 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 :11859.05 -p-value of test : 0.41 +Chi-square statistic :11584.47 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:49.34 +CPU time used : 00:02:09.09 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 : 8531.55 +Chi2 statistic for number of runs : 4344.22 p-value of test : eps ***** ----------------------------------------------- -Total number of bits: 7999997250 +Total number of bits: 7999998579 -Normal statistic for number of bits : -0.022 -p-value of test : 0.51 +Normal statistic for number of bits : -0.011 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:17.56 +CPU time used : 00:01:35.63 Generator state: N/A @@ -3611,23 +3611,23 @@ sstring_Run test: ----------------------------------------------- -Total number of 1 runs: 2000000001 +Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 47.77 -p-value of test : 0.71 +Chi2 statistic for number of runs : 41.13 +p-value of test : 0.90 ----------------------------------------------- -Total number of bits: 8000096154 +Total number of bits: 8000090142 -Normal statistic for number of bits : 0.76 -p-value of test : 0.22 +Normal statistic for number of bits : 0.71 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:20.13 +CPU time used : 00:01:37.68 Generator state: N/A @@ -3647,24 +3647,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.46 -p-value of test : 9.3e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.44 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.43 -p-value of test : 0.02 +Kolmogorov-Smirnov- statistic = D- : 0.46 +p-value of test : 0.01 -Anderson-Darling statistic = A2 : 3.13 +Anderson-Darling statistic = A2 : 3.23 p-value of test : 0.02 Tests on the sum of all N observations -Standardized normal statistic : -0.043 -p-value of test : 0.52 +Standardized normal statistic : -0.031 +p-value of test : 0.51 -Sample variance : 8.55e-3 -p-value of test : 1 - 8.0e-9 ***** +Sample variance : 6.74e-3 +p-value of test : 1 - 2.7e-9 ***** ----------------------------------------------- -CPU time used : 00:02:41.40 +CPU time used : 00:03:24.18 Generator state: N/A @@ -3684,24 +3684,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.67 -p-value of test : 3.5e-5 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.71 +p-value of test : 6.8e-6 ***** -Anderson-Darling statistic = A2 : 4.98 -p-value of test : 3.1e-3 +Anderson-Darling statistic = A2 : 5.83 +p-value of test : 1.3e-3 Tests on the sum of all N observations -Standardized normal statistic : -1.53 -p-value of test : 0.94 +Standardized normal statistic : 1.85 +p-value of test : 0.03 -Sample variance : 1.90e-3 -p-value of test : 1 - 9.3e-12 ***** +Sample variance : 5.12e-4 +p-value of test : 1 - 2.6e-14 ***** ----------------------------------------------- -CPU time used : 00:02:13.20 +CPU time used : 00:03:11.95 Generator state: N/A @@ -3721,24 +3721,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.57 +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.26 +Kolmogorov-Smirnov- statistic = D- : 0.033 +p-value of test : 0.96 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.59 +Anderson-Darling statistic = A2 : 2.28 +p-value of test : 0.07 Tests on the sum of all N observations -Standardized normal statistic : 0.45 -p-value of test : 0.33 +Standardized normal statistic : -1.98 +p-value of test : 0.98 -Sample variance : 0.51 -p-value of test : 0.87 +Sample variance : 0.63 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:02:28.81 +CPU time used : 00:03:28.40 Generator state: N/A @@ -3758,24 +3758,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.052 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.044 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.35 -Anderson-Darling statistic = A2 : 0.45 -p-value of test : 0.79 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 Tests on the sum of all N observations -Standardized normal statistic : -0.80 -p-value of test : 0.79 +Standardized normal statistic : 0.73 +p-value of test : 0.23 -Sample variance : 0.88 -p-value of test : 0.55 +Sample variance : 0.97 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:02:11.90 +CPU time used : 00:03:12.81 Generator state: N/A @@ -3788,7 +3788,7 @@ N/A Version: TestU01 1.2.3 Generator: stdin Number of statistics: 155 - Total CPU time: 04:48:24.38 + Total CPU time: 06:21:08.93 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0e-15): @@ -3811,7 +3811,7 @@ N/A 20 BirthdaySpacings, t = 16 eps 21 BirthdaySpacings, t = 16 eps 22 ClosePairs NP, t = 3 eps - 22 ClosePairs mNP, t = 3 4.1e-294 + 22 ClosePairs mNP, t
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