ON ESTIMATES OF THE CONVERGENCE RATE IN THE STRONG LAW OF LARGE NUMBERS FOR STATIONARY SEQUENCES (IN SOME CLASSES Sw AND RΦ)

被引：0

作者：

Gaposhkin, V. F. ^{[1
]}

机构：

[1] Moscow State Univ Railway Transport, Moscow 127994, Russia

来源：

THEORY OF PROBABILITY AND ITS APPLICATIONS | 2011年 / 55卷 / 04期

关键词：

classes of stationary sequences; spectral measure; correlation function; strong law of large numbers; convergence rate almost everywhere; orthogonal series; arithmetic mean of stationary sequences;

D O I：

10.1137/S0040585X9798511X

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：

In the paper we obtain new estimates for the convergence rate in the strong law of large numbers for classes of stationary sequences satisfying certain restrictions on spectral measure or correlation function.

引用

页码：699 / U184

页数：11

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