The transformed rejection method for generating Poisson random variables

Wolfgang Hörmann

Publikation: Working/Discussion PaperWU Working Paper

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Abstract

The transformed rejection method, a combination of the inversion and the rejection method, which is used to generate non-uniform random numbers from a variety of continuous distributions can be applied to discrete distributions as well. For the Poisson distribution a short and simple algorithm is obtained which is well suited for large values of the Poisson parameter $\mu$, even when $\mu$ may vary from call to call. The average number of uniform deviates required is lower than for any of the known uniformly fast algorithms. Timings for a C implementation show that the algorithm needs only half of the code but is - for $\mu$ not too small - at least as fast as the current state-of-the-art algorithms. (author's abstract)
OriginalspracheEnglisch
ErscheinungsortVienna
HerausgeberInstitut für Statistik und Mathematik, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business
PublikationsstatusVeröffentlicht - 1992

Publikationsreihe

NamePreprint Series / Department of Applied Statistics and Data Processing
Nr.2

WU Working Paper Reihe

  • Preprint Series / Department of Applied Statistics and Data Processing

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