Computer generation of gamma random variables
Communications of the ACM
Sampling from the gamma distribution on a computer
Communications of the ACM
Computer generation of gamma random variates with non-integral shape parameters
Communications of the ACM
Generating gamma variates by a modified rejection technique
Communications of the ACM
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Considerable attention has recently been directed at developing ever faster algorithms for generating gamma random variates on digital computers. This paper surveys the current state of the art including the leading algorithms of Ahrens and Dieter, Atkinson, Cheng, Fishman, Marsaglia, Tadikamalla and Wallace. General random variate generation techniques are explained with reference to these gamma algorithms. Computer simulation experiments on IBM and CDC computers are reported.