On the Law of the Iterated Logarithm for a Sequence of Independent Random Variables with Finite Variances

被引：1

作者：

V. V. Petrov

机构：

[1] St.Petersburg State University,

来源：

Journal of Mathematical Sciences | 2003年 / 118卷 / 6期

关键词：

Independent Random Variable; Iterate Logarithm; Finite Variance;

D O I：

10.1023/A:1026194607218

中图分类号：

学科分类号：

摘要：

Sufficient conditions are given for the applicability of the law of the iterated logarithm to a sequence of independent random variables having finite variances. Bibliography: 5 titles.

引用

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页码：5610 / 5612

页数：2

共 50 条

[1] On the law of the iterated logarithm for sums of independent random variables with finite variances
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Journal of Mathematical Sciences, 2000, 99 (2) : 1173 - 1181
[2] On the law of the iterated logarithm for a sequence of independent random variables
Petrov, VV
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2001, 46 (03) : 542 - 544
[3] On the law of the iterated logarithm for increments of sums of independent random variables
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Journal of Mathematical Sciences, 2006, 137 (1) : 4575 - 4582
[4] LAW OF ITERATED LOGARITHM FOR INDEPENDENT VARIABLES
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SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1970, 32 (MAR): : 41 - 52
[5] THE LAW OF THE ITERATED LOGARITHM FOR INDEPENDENT RANDOM-VARIABLES WITH MULTIDIMENSIONAL INDEXES
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[6] ON THE LAW OF THE ITERATED LOGARITHM FOR DEPENDENT RANDOM VARIABLES
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[7] STRONG LAW OF LARGE NUMBERS AND LAW OF ITERATED LOGARITHM FOR SEQUENCES OF INDEPENDENT RANDOM VARIABLES
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THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (03): : 509 - &
[8] LAW OF ITERATED LOGARITHM FOR A CLASS OF DEPENDENT RANDOM VARIABLES
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THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1968, 13 (02): : 304 - +
[9] ON THE LAW OF THE ITERATED LOGARITHM FOR ARRAYS OF RANDOM-VARIABLES
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COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1991, 20 (07) : 1989 - 1994
[10] LAW OF ITERATED LOGARITHM FOR SUBSEQUENCES OF RANDOM-VARIABLES
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ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1974, 30 (03): : 209 - 215

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