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An optimal random number generator on Zp

Philippe Chassaing

Statistics & Probability Letters, 1989, vol. 7, issue 4, 307-309

Abstract: For random numbers (an)n [greater-or-equal, slanted] 0 on Zm, m being small, a random number generator on Zp, p being large, is obtained by Xn [reverse not equivalent] [latin small letter f with hook](Xn-1, an) (mod p). If P[latin small letter f with hook]n denotes the law of Xn and U the uniform one, we explicit an [latin small letter f with hook] for which the speed of convergence of P[latin small letter f with hook]n to U is optimal, given m.

Keywords: random; number; generation; convergence; in; distribution; entropy; distance; in; variation (search for similar items in EconPapers)
Date: 1989
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