random numbers, generating→114f
random numbers, using→114f
random waiting time→114
exponential distribution→114
von Neumann→114
Marsaglia,→114
Ahrens,→114
Dieter→114
random integer→114
discrete distribution→115f
Walker→115
aliases→115
dice→115f
distribution function→116
inverse function→116
uniform deviate→116f
maximum-of-$t$ test→117
square root→117
normal distribution→117f
polar method→117f
Box,→117
Muller,→117
Marsaglia→117
normal deviates→117f
random point in a circle→118
polar coordinates→118
rectangle-wedge-tail→118f
Marsaglia→118
mixture of distribution functions→118f
density function→119
uniform distributions→119f
Rectangular distribution, see uniform distribution→119
wedge-shaped distributions→120f
von Neumann→120
rejection method→120f
polar method→120
squeeze method→121
Walker→122
alias→122
Marsaglia,→123
MacLaren,→123
Bray,→123
Ananthanarayanan,→123
Paul,→123
odd-even method→124f
Forsythe→124f
von Neumann→124
Ahrens→124f
Dieter,→124f
Brent→125
Kinderman→125f
Monahan→125f
Ratio method→125f
dependent random variables→127
correlation coefficient→127
exponential distribution→128f
exponential deviate→128f
arrival time→128
radioactive decay→128
Logarithm→128
Marsaglia→128
Sibuya,→128
Ahrens→128
gamma distribution→129
Ahrens→129f
Dieter,→129
Marsaglia,→129
beta distribution→129
J\"ohnk→130
Cheng,→130
chi-square distribution→130
F-distribution→130
variance-ratio distribution→130
random point on sphere→130
polar method→130f
Brown,→130
Beckenbach→130
random point in a sphere→131
Brent→131
Knop,→131
discrete distributions→131f
geometric distribution→131f
waiting time→131
gap test→131
binomial distribution→131f
Ahrens,→131
Poisson distribution→132f
exponential distribution→132
geometric→132
radioactive substance→132
Ahrens→132
Dieter→132
exponential deviates→132
sorted uniform deviates→132
binomial→133
Poisson→133
Ahrens→133
Dieter→133
Knuth→133
Yao,→133
Traub→133
Walker→134
rejection method→134f
Brent→134
covariance→134
Ahrens→135
gamma→135
distribution function→135
geometric distribution→135
generating function→135
negative binomial distribution→135
Poisson distribution→135f
von Neumann→135f
Ulam,→135
Ahrens→136
Brent→136
random point on an ellipsoid→136
Bentley→136
Saxe→136
sorted uniform deviates→136
sampling→136f
random combination→136f
Selection sampling→137f
seed, choice of→137
choice of seed→137
Fan,→137
Muller,→137
Rezucha→137
Jones,→137
Reservoir sampling→138f
Waterman→139
random permutation→139f
shuffling→139f
Moses→140
Oakford,→140
Durstenfeld,→140
Nijenhuis→140
Wilf→140
Golomb→141
Dahl→141
sampling, weighted→141