Properties of Selected Random Number Generators

The various random number generators produce results which agree rather well with these limiting values.

\( x \)-bin ran0 ran1 ran2 ran3
0.0-0.1 1013 991 938 1047
0.1-0.2 1002 1009 1040 1030
0.2-0.3 989 999 1030 993
0.3-0.4 939 960 1023 937
0.4-0.5 1038 1001 1002 992
0.5-0.6 1037 1047 1009 1009
0.6-0.7 1005 989 1003 989
0.7-0.8 986 962 985 954
0.8-0.9 1000 1027 1009 1023
0.9-1.0 991 1015 961 1026
\( \mu \) 0.4997 0.5018 0.4992 0.4990
\( \sigma \) 0.2882 0.2892 0.2861 0.2915