The quality of non-uniform random numbers

Wolfgang Hörmann

Publication: Working/Discussion PaperWU Working Paper

Abstract

The quality of non-uniform random numbers is not only influenced by the quality of the uniform generator that is used but also by the transformation method applied to the uniform random numbers. This differences in quality between ``exact" methods were almost entirely neglected in literature. So we compare the behaviour of four different transformation methods when combined with a linear congruential uniform generator (LCG). Heuristic considerations, the computation of two measures of approximation and a statistical test show that the inversion method performs best. Among the others rejection, when combined with a LCG with small multiplier, and ratio of uniforms perform worse. Their use could slightly change the results of some simulation studies. (author's abstract)
Original languageEnglish
Place of PublicationVienna
PublisherInstitut für Statistik und Mathematik, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business
Publication statusPublished - 1993

Publication series

NamePreprint Series / Department of Applied Statistics and Data Processing
No.7

WU Working Paper Series

  • Preprint Series / Department of Applied Statistics and Data Processing

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