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Generating beta variates with nonintegral shape parameters
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Communications of the ACM archive
Volume 21 ,  Issue 4  (April 1978) table of contents
Pages: 317 - 322  
Year of Publication: 1978
ISSN:0001-0782
Author
R. C. H. Cheng  Univ. of Wales Institute of Science and Technology, Cardiff, UK
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 6,   Downloads (12 Months): 64,   Citation Count: 6
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ABSTRACT

A new rejection method is described for generating beta variates. The method is compared with previously published methods both theoretically and through computer timings. It is suggested that the method has advantages in both speed and programming simplicity over previous methods, especially for “difficult” combinations of parameter values.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Ahrens, J.H., and Dieter, U. Computer methods for sampling from gamma, beta, Poisson and binomial distribution. Computing (Vienna), 12 (1974), 223-246.
 
2
Atkinson, A.C., and Pearce, M.C. The computer generation of beta, gamma and normal random variables. J. Roy. Statist. Soc. Ser. A 139 (1976), 431-461.
 
3
Atkinson, A.C., and Whittaker, J. A switching algorithm for the generation of beta random variables with at least one parameter less than 1. J. Roy. Statist. Soc. Ser. A. 139 (1976), 462-467.
 
4
J~hnk, M.D. Erzeugung von Betaverteilten und Gammaverteilten Zuffallszahlen. Metrika 8 (1964), 5-15.
 
5
Marsaglia, G., and Bray, T.A. A convenient method for generating normal variables. SIAM Rev. 6 (1964), 260-264.
6
 
7
Whittaker, J. Generating gamma and beta random variables with non-integral shape parameters. Appl. Statist. 23 (1974), 210- 214.