Technical Note—Generation of Variates from Distribution Tails
Author(s) -
Bruce W. Schmeiser
Publication year - 1980
Publication title -
operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.797
H-Index - 140
eISSN - 1526-5463
pISSN - 0030-364X
DOI - 10.1287/opre.28.4.1012
Subject(s) - weibull distribution , exponential function , gamma distribution , convolution random number generator , function (biology) , mathematics , heavy tailed distribution , computer science , beta distribution , distribution (mathematics) , algorithm , mathematical optimization , exponential distribution , probability distribution , random variate , statistics , random variable , mathematical analysis , evolutionary biology , biology
The well known acceptance/rejection algorithm for generating random values on a computer is specialized for distribution tails. Using an exponential majorizing function and a linear minorizing function, the tail algorithm becomes particularly efficient. Specific algorithms are given for the normal, gamma, Weibull and beta distributions. While the algorithms can be used alone, it is anticipated that their major value will be to serve as components of algorithms for complete distributions.
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