http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_1/tu_3 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_3 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_3 index 16fc7ab..b341fd7 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_3 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_3 @@ -1,5 +1,5 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well512a +# RNG: org.apache.commons.rng.internal.source32.Well512a # # Java: 1.8.0_66 # Runtime: 1.8.0_66-b17 @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.81 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:01:48.26 +CPU time used : 00:02:12.80 Generator state: N/A @@ -85,7 +85,7 @@ p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:43.38 +CPU time used : 00:02:35.98 Generator state: N/A @@ -123,21 +123,21 @@ 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 : 1308 +p-value of test : 0.94 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334479 - j = 1 : 599997282 - j = 2 : 1359 + j = 0 : 131940795334428 + j = 1 : 599997384 + j = 2 : 1308 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:15.12 +CPU time used : 00:05:54.94 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 : 1318 -p-value of test : 0.89 +Observed number of collisions : 1444 +p-value of test : 0.02 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334438 - j = 1 : 599997364 - j = 2 : 1318 + j = 0 : 131940795334564 + j = 1 : 599997112 + j = 2 : 1444 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:28.58 +CPU time used : 00:06:26.80 Generator state: N/A @@ -227,21 +227,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1379 -p-value of test : 0.35 +Observed number of collisions : 1367 +p-value of test : 0.47 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334499 - j = 1 : 599997242 - j = 2 : 1379 + j = 0 : 131940795334487 + j = 1 : 599997266 + j = 2 : 1367 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:32.16 +CPU time used : 00:08:47.94 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 : 1360 -p-value of test : 0.54 +Observed number of collisions : 1279 +p-value of test : 0.99 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334480 - j = 1 : 599997280 - j = 2 : 1360 + j = 0 : 131940795334399 + j = 1 : 599997442 + j = 2 : 1279 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:30.92 +CPU time used : 00:08:39.38 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 : 1305 -p-value of test : 0.94 +Observed number of collisions : 1378 +p-value of test : 0.36 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334425 - j = 1 : 599997390 - j = 2 : 1305 + j = 0 : 131940795334498 + j = 1 : 599997244 + j = 2 : 1378 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:31.25 +CPU time used : 00:09:30.48 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 : 1319 -p-value of test : 0.89 +Observed number of collisions : 1372 +p-value of test : 0.42 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334439 - j = 1 : 599997362 - j = 2 : 1319 + j = 0 : 131940795334492 + j = 1 : 599997256 + j = 2 : 1372 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:31.73 +CPU time used : 00:10:17.59 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 : 1315 -p-value of test : 0.91 +Observed number of collisions : 1353 +p-value of test : 0.61 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334435 - j = 1 : 599997370 - j = 2 : 1315 + j = 0 : 131940795334473 + j = 1 : 599997294 + j = 2 : 1353 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:40.09 +CPU time used : 00:09:20.17 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 : 1353 -p-value of test : 0.61 +Observed number of collisions : 1316 +p-value of test : 0.90 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334473 - j = 1 : 599997294 - j = 2 : 1353 + j = 0 : 131940795334436 + j = 1 : 599997368 + j = 2 : 1316 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:55.73 +CPU time used : 00:08:47.88 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 : 1412 -p-value of test : 0.10 +Observed number of collisions : 1275 +p-value of test : 0.9923 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334532 - j = 1 : 599997176 - j = 2 : 1412 + j = 0 : 131940795334395 + j = 1 : 599997450 + j = 2 : 1275 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:28.40 +CPU time used : 00:07:09.89 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 : 1349 -p-value of test : 0.65 +Observed number of collisions : 1432 +p-value of test : 0.04 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334469 - j = 1 : 599997302 - j = 2 : 1349 + j = 0 : 131940795334552 + j = 1 : 599997136 + j = 2 : 1432 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:26.78 +CPU time used : 00:09:08.93 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5491 -p-value of test : 0.17 +Total observed number : 5357 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:04:26.40 +CPU time used : 00:05:40.44 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4331 -p-value of test : 0.53 +Total observed number : 4279 +p-value of test : 0.81 ----------------------------------------------- -CPU time used : 00:01:54.59 +CPU time used : 00:02:30.02 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7321 -p-value of test : 0.49 +Total observed number : 7322 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:03:11.28 +CPU time used : 00:04:14.31 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4169 -p-value of test : 0.9947 +Total observed number : 4353 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:23.76 +CPU time used : 00:03:07.06 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4303 -p-value of test : 0.69 +Total observed number : 4401 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:02:29.18 +CPU time used : 00:03:19.51 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7273 -p-value of test : 0.70 +Total observed number : 7332 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:04:00.14 +CPU time used : 00:05:21.77 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7272 -p-value of test : 0.70 +Total observed number : 7364 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:04:05.31 +CPU time used : 00:05:20.94 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7282 -p-value of test : 0.66 +Total observed number : 7265 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:05:11.22 +CPU time used : 00:06:52.52 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7341 -p-value of test : 0.40 +Total observed number : 7404 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:05:42.10 +CPU time used : 00:07:38.11 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.92 -p-value of test : 0.40 +Stat. AD on the N values (NP) : 0.42 +p-value of test : 0.83 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) : 1.40 -p-value of test : 0.20 +A2 test on the values of A2 (m-NP) : 0.65 +p-value of test : 0.60 -Test on the Nm values of W_{n,i}(mNP1): 0.54 -p-value of test : 0.70 +Test on the Nm values of W_{n,i}(mNP1): 2.15 +p-value of test : 0.08 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 931 -p-value of test : 0.15 +Number of jumps of Y : 843 +p-value of test : 0.97 -Stat. AD (mNP2) : 1.13 -p-value of test : 0.29 +Stat. AD (mNP2) : 1.82 +p-value of test : 0.12 -Stat. AD after spacings (mNP2-S) : 1.58 -p-value of test : 0.16 +Stat. AD after spacings (mNP2-S) : 0.55 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:03:23.28 +CPU time used : 00:04:13.57 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.51 -p-value of test : 0.73 +Stat. AD on the N values (NP) : 1.05 +p-value of test : 0.33 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) : 0.68 -p-value of test : 0.57 +A2 test on the values of A2 (m-NP) : 0.79 +p-value of test : 0.49 -Test on the Nm values of W_{n,i}(mNP1): 1.74 -p-value of test : 0.13 +Test on the Nm values of W_{n,i}(mNP1): 1.01 +p-value of test : 0.35 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 573 -p-value of test : 0.86 +Number of jumps of Y : 604 +p-value of test : 0.44 -Stat. AD (mNP2) : 0.65 -p-value of test : 0.60 +Stat. AD (mNP2) : 0.98 +p-value of test : 0.37 -Stat. AD after spacings (mNP2-S) : 4.63 -p-value of test : 4.3e-3 +Stat. AD after spacings (mNP2-S) : 2.87 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:02:10.30 +CPU time used : 00:02:56.20 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.82 -p-value of test : 0.46 +Stat. AD on the N values (NP) : 0.25 +p-value of test : 0.97 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) : 1.26 -p-value of test : 0.24 +A2 test on the values of A2 (m-NP) : 0.38 +p-value of test : 0.87 -Test on the Nm values of W_{n,i}(mNP1): 0.96 -p-value of test : 0.38 +Test on the Nm values of W_{n,i}(mNP1): 1.77 +p-value of test : 0.12 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 321 -p-value of test : 0.12 +Number of jumps of Y : 290 +p-value of test : 0.71 -Stat. AD (mNP2) : 0.63 -p-value of test : 0.62 +Stat. AD (mNP2) : 0.49 +p-value of test : 0.75 -Stat. AD after spacings (mNP2-S) : 0.58 -p-value of test : 0.66 +Stat. AD after spacings (mNP2-S) : 2.08 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:03:07.57 +CPU time used : 00:04:21.37 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.86 -p-value of test : 0.43 +Stat. AD on the N values (NP) : 2.05 +p-value of test : 0.09 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) : 1.34 -p-value of test : 0.22 +A2 test on the values of A2 (m-NP) : 0.55 +p-value of test : 0.69 -Test on the Nm values of W_{n,i}(mNP1): 0.65 -p-value of test : 0.60 +Test on the Nm values of W_{n,i}(mNP1): 0.37 +p-value of test : 0.87 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 144 -p-value of test : 0.67 +Number of jumps of Y : 148 +p-value of test : 0.54 -Stat. AD (mNP2) : 1.31 -p-value of test : 0.23 +Stat. AD (mNP2) : 0.63 +p-value of test : 0.62 -Stat. AD after spacings (mNP2-S) : 0.79 -p-value of test : 0.49 +Stat. AD after spacings (mNP2-S) : 0.90 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:03:21.07 +CPU time used : 00:05:00.32 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 12.74 -p-value of test : 0.08 +Chi-square statistic : 6.03 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:16.02 +CPU time used : 00:01:44.98 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 6.38 -p-value of test : 0.50 +Chi-square statistic : 6.58 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:01:27.42 +CPU time used : 00:01:59.04 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 27.89 -p-value of test : 0.06 +Chi-square statistic : 17.75 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:01:19.26 +CPU time used : 00:01:39.79 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 21.01 -p-value of test : 0.28 +Chi-square statistic : 17.03 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:27.21 +CPU time used : 00:01:56.70 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 51.66 -p-value of test : 0.56 +Chi-square statistic : 63.34 +p-value of test : 0.18 ----------------------------------------------- -CPU time used : 00:01:43.28 +CPU time used : 00:02:09.19 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 62.96 -p-value of test : 0.19 +Chi-square statistic : 59.76 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:01:52.18 +CPU time used : 00:02:29.52 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 59.41 -p-value of test : 0.29 +Chi-square statistic : 56.01 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:50.31 +CPU time used : 00:02:26.82 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 64.98 -p-value of test : 0.15 +Chi-square statistic : 62.02 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:01:49.27 +CPU time used : 00:02:24.43 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 254.17 -p-value of test : 0.15 +Chi-square statistic : 240.47 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:02:13.22 +CPU time used : 00:02:45.04 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 468.03 -p-value of test : 0.13 +Chi-square statistic : 438.85 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:03:08.02 +CPU time used : 00:03:57.44 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1438.79 -p-value of test : 0.48 +Chi-square statistic : 1443.62 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:03:13.89 +CPU time used : 00:04:04.77 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6973.51 -p-value of test : 0.73 +Chi-square statistic : 7177.10 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:03:07.86 +CPU time used : 00:04:09.56 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.014 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.55 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.30 -Anderson-Darling statistic = A2 : 2.36 -p-value of test : 0.06 +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.65 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 46.99 -p-value of test : 0.02 +Chi-square statistic : 31.54 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:43.44 +CPU time used : 00:02:04.10 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.022 -p-value of test : 0.97 +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.22 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 0.75 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 1.55 +p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 72.49 -p-value of test : 0.13 +Chi-square statistic : 46.89 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:04:15.93 +CPU time used : 00:04:51.84 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 3.61 -p-value of test : 0.61 +Value of the statistic : 3.92 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:10.81 +CPU time used : 00:01:30.10 Generator state: N/A @@ -1489,12 +1489,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic : 132.61 -p-value of test : 0.19 +Value of the statistic : 109.79 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:56.52 +CPU time used : 00:02:33.10 Generator state: N/A @@ -1528,12 +1528,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 5145.71 -p-value of test : 0.14 +Value of the statistic : 5214.65 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:01:26.55 +CPU time used : 00:01:54.80 Generator state: N/A @@ -1568,11 +1568,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 -p-value of test : 0.59 +p-value of test : 0.04 ----------------------------------------------- -CPU time used : 00:03:05.04 +CPU time used : 00:03:43.67 Generator state: N/A @@ -1607,22 +1607,22 @@ 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 : 45840 -p-value of test : 0.57 +Observed number of collisions : 46178 +p-value of test : 0.08 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869840 - j = 1 : 399908323 - j = 2 : 45834 + j = 0 : 1743165870178 + j = 1 : 399907647 + j = 2 : 46172 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:24.40 +CPU time used : 00:05:16.54 Generator state: N/A @@ -1657,22 +1657,22 @@ 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 : 45833 -p-value of test : 0.58 +Observed number of collisions : 45709 +p-value of test : 0.79 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869833 - j = 1 : 399908341 - j = 2 : 45819 - j = 3 : 7 + j = 0 : 1743165869709 + j = 1 : 399908584 + j = 2 : 45705 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:45.55 +CPU time used : 00:05:43.30 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.093 -p-value of test : 0.47 +Kolmogorov-Smirnov+ statistic = D+ : 0.061 +p-value of test : 0.71 -Kolmogorov-Smirnov- statistic = D- : 0.098 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 0.53 -p-value of test : 0.71 +Anderson-Darling statistic = A2 : 0.99 +p-value of test : 0.36 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.63 +p-value of test : 0.25 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.013 -p-value of test : 0.98 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.27 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 0.80 -p-value of test : 0.48 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:03:27.03 +CPU time used : 00:04:25.82 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.33 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.43 -Kolmogorov-Smirnov- statistic = D- : 0.074 -p-value of test : 0.69 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.38 -p-value of test : 0.87 +Anderson-Darling statistic = A2 : 1.11 +p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.62 +p-value of test : 0.43 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.48 -Kolmogorov-Smirnov- statistic = D- : 0.054 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.071 +p-value of test : 0.71 -Anderson-Darling statistic = A2 : 1.54 -p-value of test : 0.17 +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 ----------------------------------------------- -CPU time used : 00:03:14.52 +CPU time used : 00:04:15.29 Generator state: N/A @@ -1802,14 +1802,14 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.05 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.020 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.080 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 1.60 -p-value of test : 0.15 +Anderson-Darling statistic = A2 : 2.05 +p-value of test : 0.09 Test on the sum of all N observations Number of degrees of freedom : 1999980 @@ -1820,18 +1820,18 @@ p-value of test : 0.93 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.092 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.58 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.09 -Anderson-Darling statistic = A2 : 0.90 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 1.38 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:02:32.27 +CPU time used : 00:03:14.70 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.46 +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.07 -Anderson-Darling statistic = A2 : 0.90 -p-value of test : 0.41 +Anderson-Darling statistic = A2 : 1.72 +p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.36 +p-value of test : 0.16 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.077 -p-value of test : 0.75 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.63 -Kolmogorov-Smirnov- statistic = D- : 0.096 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.22 -p-value of test : 0.98 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:02:55.06 +CPU time used : 00:03:43.61 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.042 -p-value of test : 0.84 +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.44 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.16 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.17 -Anderson-Darling statistic = A2 : 0.86 -p-value of test : 0.44 +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:02:24.90 +CPU time used : 00:03:08.50 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.085 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.12 -p-value of test : 0.52 +Kolmogorov-Smirnov- statistic = D- : 0.022 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 0.33 -p-value of test : 0.91 +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 ----------------------------------------------- -CPU time used : 00:01:41.93 +CPU time used : 00:02:11.54 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.03 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.31 -Kolmogorov-Smirnov- statistic = D- : 0.066 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.089 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 1.89 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:12.77 +CPU time used : 00:02:49.07 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.24e-4 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 1.06e-4 +p-value of test : 0.64 -Kolmogorov-Smirnov- statistic = D- : 6.55e-5 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 1.13e-4 +p-value of test : 0.60 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 0.36 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:00:32.47 +CPU time used : 00:00:40.94 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.26e-4 -p-value of test : 0.53 +Kolmogorov-Smirnov+ statistic = D+ : 1.88e-4 +p-value of test : 0.24 -Kolmogorov-Smirnov- statistic = D- : 1.80e-4 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 1.58e-4 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 0.52 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 ----------------------------------------------- -CPU time used : 00:00:34.60 +CPU time used : 00:00:43.79 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 2.00 -p-value of test : 0.02 +Normal statistic : 0.39 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:00:33.60 +CPU time used : 00:00:45.47 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 1.15 -p-value of test : 0.12 +Normal statistic : -0.29 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:00:32.44 +CPU time used : 00:00:45.29 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 1.65 -p-value of test : 0.05 +Normal statistic : -0.13 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:02:00.81 +CPU time used : 00:02:23.06 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -8.00e-3 -p-value of test : 0.50 +Normal statistic : -0.74 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:02:03.27 +CPU time used : 00:02:27.82 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 66.61 -p-value of test : 0.49 +Chi-square statistic : 55.92 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:19.50 +CPU time used : 00:01:45.62 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 59.00 -p-value of test : 0.75 +Chi-square statistic : 84.78 +p-value of test : 0.07 ----------------------------------------------- -CPU time used : 00:01:40.26 +CPU time used : 00:02:11.06 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 64.91 -p-value of test : 0.55 +Chi-square statistic : 54.93 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:01:43.62 +CPU time used : 00:02:10.07 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 26.91 -p-value of test : 0.89 +Chi-square statistic : 36.10 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:15.00 +CPU time used : 00:01:44.69 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 30.06 -p-value of test : 0.78 +Chi-square statistic : 38.11 +p-value of test : 0.42 ----------------------------------------------- -CPU time used : 00:01:45.05 +CPU time used : 00:02:09.56 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 33.23 -p-value of test : 0.65 +Chi-square statistic : 43.02 +p-value of test : 0.23 ----------------------------------------------- -CPU time used : 00:01:40.37 +CPU time used : 00:02:09.85 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 28.76 -p-value of test : 0.48 +Chi-square statistic : 31.27 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:02:34.61 +CPU time used : 00:03:24.19 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.20 -p-value of test : 0.39 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.099 -p-value of test : 0.77 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.73 -Anderson-Darling statistic = A2 : 0.55 -p-value of test : 0.69 +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 42.36 -p-value of test : 0.37 +Chi-square statistic : 36.45 +p-value of test : 0.63 ----------------------------------------------- -CPU time used : 00:01:21.95 +CPU time used : 00:01:51.03 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.19 -p-value of test : 0.44 +Kolmogorov-Smirnov+ statistic = D+ : 0.090 +p-value of test : 0.80 -Kolmogorov-Smirnov- statistic = D- : 0.097 -p-value of test : 0.78 +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.37 -Anderson-Darling statistic = A2 : 0.41 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 34.95 -p-value of test : 0.70 +Chi-square statistic : 42.79 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:23.92 +CPU time used : 00:01:51.30 Generator state: N/A @@ -2400,7 +2400,7 @@ Chi-square statistic : 9.41e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:01.29 +CPU time used : 00:02:47.87 Generator state: N/A @@ -2424,7 +2424,7 @@ Chi-square statistic : 9.41e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:59.38 +CPU time used : 00:02:48.43 Generator state: N/A @@ -2448,7 +2448,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:48.12 +CPU time used : 00:01:10.37 Generator state: N/A @@ -2472,7 +2472,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:32.96 +CPU time used : 00:00:45.97 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.86 +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.25 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 1.01 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.70 +p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 146.99 -p-value of test : 0.15 +Chi-square statistic : 136.49 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:01:03.28 +CPU time used : 00:01:14.18 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.090 -p-value of test : 0.80 +Kolmogorov-Smirnov+ statistic = D+ : 0.098 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov- statistic = D- : 0.099 +p-value of test : 0.77 -Anderson-Darling statistic = A2 : 0.91 -p-value of test : 0.40 +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.85 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17652.01 -p-value of test : 0.12 +Chi-square statistic :17362.56 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:54.04 +CPU time used : 00:02:01.68 Generator state: N/A @@ -2568,44 +2568,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 31.66 -p-value of test : 0.68 +ChiSquare statistic : 48.95 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 36.23 -p-value of test : 0.41 +ChiSquare statistic : 37.83 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 23.96 -p-value of test : 0.52 +ChiSquare statistic : 26.70 +p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 22.44 -p-value of test : 0.55 +ChiSquare statistic : 23.77 +p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 18.08 -p-value of test : 0.38 +ChiSquare statistic : 10.01 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:00:49.12 +CPU time used : 00:01:01.76 Generator state: N/A @@ -2628,44 +2628,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 28.88 -p-value of test : 0.79 +ChiSquare statistic : 33.99 +p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 31.12 -p-value of test : 0.66 +ChiSquare statistic : 32.72 +p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 34.25 -p-value of test : 0.10 +ChiSquare statistic : 27.02 +p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 20.52 -p-value of test : 0.67 +ChiSquare statistic : 29.69 +p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 5.60 -p-value of test : 0.9955 +ChiSquare statistic : 22.50 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:00:52.06 +CPU time used : 00:01:03.09 Generator state: N/A @@ -2688,44 +2688,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 150.32 -p-value of test : 0.39 +ChiSquare statistic : 136.29 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 140.95 -p-value of test : 0.60 +ChiSquare statistic : 116.41 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 470.27 -p-value of test : 0.83 +ChiSquare statistic : 461.40 +p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 157.92 -p-value of test : 0.10 +ChiSquare statistic : 164.31 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 95.47 -p-value of test : 0.05 +ChiSquare statistic : 62.75 +p-value of test : 0.82 ----------------------------------------------- -CPU time used : 00:01:00.45 +CPU time used : 00:01:19.97 Generator state: N/A @@ -2748,44 +2748,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 157.35 -p-value of test : 0.25 +ChiSquare statistic : 184.07 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 133.54 -p-value of test : 0.76 +ChiSquare statistic : 172.46 +p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 467.42 -p-value of test : 0.85 +ChiSquare statistic : 501.01 +p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 114.66 -p-value of test : 0.91 +ChiSquare statistic : 140.35 +p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 80.65 -p-value of test : 0.28 +ChiSquare statistic : 101.72 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:02.37 +CPU time used : 00:01:21.18 Generator state: N/A @@ -2808,44 +2808,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 366.81 -p-value of test : 0.73 +ChiSquare statistic : 411.31 +p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 374.43 -p-value of test : 0.63 +ChiSquare statistic : 356.44 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 5040.16 -p-value of test : 0.34 +ChiSquare statistic : 5038.67 +p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 337.03 -p-value of test : 0.94 +ChiSquare statistic : 442.07 +p-value of test : 0.01 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 147.16 -p-value of test : 0.9980 +ChiSquare statistic : 238.12 +p-value of test : 0.03 ----------------------------------------------- -CPU time used : 00:00:47.47 +CPU time used : 00:01:06.93 Generator state: N/A @@ -2868,44 +2868,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 376.66 -p-value of test : 0.60 +ChiSquare statistic : 398.32 +p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 379.69 -p-value of test : 0.55 +ChiSquare statistic : 360.95 +p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4961.81 -p-value of test : 0.65 +ChiSquare statistic : 4976.19 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 314.00 -p-value of test : 0.9928 +ChiSquare statistic : 388.79 +p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 167.63 -p-value of test : 0.95 +ChiSquare statistic : 159.18 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:00:48.04 +CPU time used : 00:01:07.52 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 7.21 -p-value of test : 0.84 +Chi2 statistic for size of jumps : 4.88 +p-value of test : 0.96 ----------------------------------------------- -Normal statistic for number of jumps : -446.00 +Normal statistic for number of jumps : -446.11 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.21 +CPU time used : 00:00:00.22 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 7.90 -p-value of test : 0.79 +Chi2 statistic for size of jumps : 6.65 +p-value of test : 0.88 ----------------------------------------------- -Normal statistic for number of jumps : -446.10 +Normal statistic for number of jumps : -446.01 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.19 +CPU time used : 00:00:00.22 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.088 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.067 +p-value of test : 0.88 -Anderson-Darling statistic = A2 : 0.27 -p-value of test : 0.96 +Anderson-Darling statistic = A2 : 1.49 +p-value of test : 0.18 Tests on the sum of all N observations -Standardized normal statistic : -0.24 -p-value of test : 0.59 +Standardized normal statistic : -1.40 +p-value of test : 0.92 -Sample variance : 1.05 -p-value of test : 0.40 +Sample variance : 0.69 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:00:59.51 +CPU time used : 00:01:02.97 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.12 -p-value of test : 0.69 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.33 -Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.69 -Anderson-Darling statistic = A2 : 0.64 -p-value of test : 0.61 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.50 Tests on the sum of all N observations -Standardized normal statistic : 0.60 -p-value of test : 0.27 - -Sample variance : 0.62 +Standardized normal statistic : -0.77 p-value of test : 0.78 +Sample variance : 1.55 +p-value of test : 0.12 + ----------------------------------------------- -CPU time used : 00:00:58.78 +CPU time used : 00:01:06.18 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 6.97e-3 -p-value of test : 0.67 +Kolmogorov-Smirnov+ statistic = D+ : 6.02e-3 +p-value of test : 0.74 -Kolmogorov-Smirnov- statistic = D- : 0.011 -p-value of test : 0.35 +Kolmogorov-Smirnov- statistic = D- : 8.65e-3 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 0.89 -p-value of test : 0.42 +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:47.23 +CPU time used : 00:00:56.84 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 7.81e-3 +Kolmogorov-Smirnov+ statistic = D+ : 7.89e-3 p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 9.67e-3 +Kolmogorov-Smirnov- statistic = D- : 9.75e-3 p-value of test : 0.46 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:46.71 +CPU time used : 00:00:55.65 Generator state: N/A @@ -3123,17 +3123,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 10.07 -p-value of test : 0.26 +Chi-square statistic : 9.17 +p-value of test : 0.33 ----------------------------------------------- -Global longest run of 1 : 30.00 -p-value of test : 0.90 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:40.05 +CPU time used : 00:01:56.88 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 15.08 -p-value of test : 0.06 +Chi-square statistic : 4.68 +p-value of test : 0.79 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:42.57 +CPU time used : 00:01:57.18 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.62 +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.70 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.38 +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.58 -Anderson-Darling statistic = A2 : 0.47 -p-value of test : 0.78 +Anderson-Darling statistic = A2 : 0.48 +p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 201.30 -p-value of test : 0.46 +Chi-square statistic : 210.88 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:02:58.87 +CPU time used : 00:03:29.04 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.28 -p-value of test : 0.18 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.39 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.51 +Kolmogorov-Smirnov- statistic = D- : 0.058 +p-value of test : 0.90 -Anderson-Darling statistic = A2 : 0.87 -p-value of test : 0.43 +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 : 200 -Chi-square statistic : 181.72 -p-value of test : 0.82 +Chi-square statistic : 183.27 +p-value of test : 0.80 ----------------------------------------------- -CPU time used : 00:02:58.89 +CPU time used : 00:03:32.68 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.64 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 0.24 -p-value of test : 0.98 +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 : 9999.96 -p-value of test : 0.50 +Chi-square statistic : 9961.61 +p-value of test : 0.61 ----------------------------------------------- -CPU time used : 00:01:06.78 +CPU time used : 00:01:19.29 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.24 +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 2.74 -p-value of test : 0.04 +Anderson-Darling statistic = A2 : 0.90 +p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10035.57 -p-value of test : 0.40 +Chi-square statistic : 9852.78 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:01:11.70 +CPU time used : 00:01:21.84 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.38 -p-value of test : 0.92 +Normal statistic : 1.05 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:21.48 +CPU time used : 00:01:32.74 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.35 -p-value of test : 0.64 +Normal statistic : -0.48 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:01:19.53 +CPU time used : 00:01:27.65 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.24 -p-value of test : 0.41 +Normal statistic : -0.69 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:05:11.12 +CPU time used : 00:05:42.68 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.012 -p-value of test : 0.99 +Kolmogorov-Smirnov+ statistic = D+ : 0.031 +p-value of test : 0.96 -Kolmogorov-Smirnov- statistic = D- : 0.25 -p-value of test : 0.25 +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 1.77 -p-value of test : 0.13 +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 5074.74 -p-value of test : 0.03 +Chi-square statistic : 4989.78 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:02:12.04 +CPU time used : 00:02:33.25 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.42 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.72 -Kolmogorov-Smirnov- statistic = D- : 0.019 -p-value of test : 0.98 +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 2.82 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 1.20 +p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4672.48 -p-value of test : 0.99 +Chi-square statistic : 5001.93 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:02:18.67 +CPU time used : 00:02:34.72 Generator state: N/A @@ -3471,11 +3471,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 3991.98 -p-value of test : 0.92 +Chi-square statistic : 4147.48 +p-value of test : 0.37 ----------------------------------------------- -CPU time used : 00:01:38.36 +CPU time used : 00:01:52.70 Generator state: N/A @@ -3497,11 +3497,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4148.82 -p-value of test : 0.36 +Chi-square statistic : 4188.14 +p-value of test : 0.22 ----------------------------------------------- -CPU time used : 00:01:42.39 +CPU time used : 00:01:54.95 Generator state: N/A @@ -3523,11 +3523,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11855.60 -p-value of test : 0.42 +Chi-square statistic :11834.01 +p-value of test : 0.47 ----------------------------------------------- -CPU time used : 00:01:49.51 +CPU time used : 00:02:01.88 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11927.04 -p-value of test : 0.25 +Chi-square statistic :11922.43 +p-value of test : 0.26 ----------------------------------------------- -CPU time used : 00:01:51.62 +CPU time used : 00:02:03.97 Generator state: N/A @@ -3575,20 +3575,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 90.04 -p-value of test : 1.5e-3 +Chi2 statistic for number of runs : 51.49 +p-value of test : 0.57 ----------------------------------------------- -Total number of bits: 8000044224 +Total number of bits: 8000017434 -Normal statistic for number of bits : 0.35 -p-value of test : 0.36 +Normal statistic for number of bits : 0.14 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:01:19.55 +CPU time used :
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