Stability of a class of non-uniform random number generators

Robert F. Tichy

doi:10.1006/jmaa.1994.1043

Stability of a class of non-uniform random number generators

Robert F. Tichy^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

It is shown that the asymptotic distribution function modulo 1 of z_n+1 = 2az_n-b z_n, z₀ ≠ 0. (a² - b < 0) does not change under "slight" perturbations of the parameters a and b. More precisely, the asymptotic distribution function of recurrences of this type with non-constant coefficients (a = a_n, b = b_n) is determined.

Originalsprache	englisch
Seiten (von - bis)	546-561
Seitenumfang	16
Fachzeitschrift	Journal of Mathematical Analysis and Applications
Jahrgang	181
Ausgabenummer	2
DOIs	https://doi.org/10.1006/jmaa.1994.1043
Publikationsstatus	Veröffentlicht - Jan. 1994

ASJC Scopus subject areas

Analyse
Angewandte Mathematik

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10.1006/jmaa.1994.1043

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abstract = "It is shown that the asymptotic distribution function modulo 1 of zn+1 = 2azn-b zn, z0 ≠ 0. (a2 - b < 0) does not change under {"}slight{"} perturbations of the parameters a and b. More precisely, the asymptotic distribution function of recurrences of this type with non-constant coefficients (a = an, b = bn) is determined.",

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AB - It is shown that the asymptotic distribution function modulo 1 of zn+1 = 2azn-b zn, z0 ≠ 0. (a2 - b < 0) does not change under "slight" perturbations of the parameters a and b. More precisely, the asymptotic distribution function of recurrences of this type with non-constant coefficients (a = an, b = bn) is determined.

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DO - 10.1006/jmaa.1994.1043

M3 - Article

AN - SCOPUS:43949151077

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Stability of a class of non-uniform random number generators

Abstract

ASJC Scopus subject areas

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