ON UNIFORM DISTRIBUTION OF SEQUENCES OF RANDOM VARIABLES

被引：10

作者：

HOLEWIJN, PJ

机构：

[1] Department of Mathematics, The Technological University of Delft, Delft

来源：

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1969年 / 14卷 / 02期

关键词：

D O I：

10.1007/BF00537514

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper deals with the almost sure uniform distribution (modulo 1) of sequences of random variables. In the case where the law of the increments Xn+h-Xnof the sequence X0, X1, ⋯ does not depend on n, sufficient conditions are given to assure the uniform distribution (modulo 1) with probability one. As an illustrative example the partial sums of a sequence of independent, identically distributed variables is considered. © 1969 Springer-Verlag.

引用

页码：89 / &