Law of iterated logarithm for NA sequences with non-identical distributions

被引：4

作者：

Cai, Guang-Hui ^{[1
]}

Wu, Hang

机构：

[1] Zhejiang Gongshang Univ, Dept Math, Hangzhou 310035, Peoples R China

[2] Zhejiang Gongshang Univ, Dept Stat, Hangzhou 310035, Peoples R China

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2007年 / 117卷 / 02期

关键词：

law of iterated logarithm; non-identical distribution; NA sequences;

D O I：

10.1007/s12044-007-0017-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on a law of the iterated logarithm for independent random variables sequences, an iterated logarithm theorem for NA sequences with non-identical distributions is obtained. The proof is based on a Kolmogrov-type exponential inequality.

引用

页码：213 / 218

页数：6

共 50 条

[1] Law of iterated logarithm for NA sequences with non-identical distributions
Guang-Hui Cai
Hang Wu
[J]. Proceedings Mathematical Sciences, 2007, 117 : 213 - 218
[2] Law of the logarithm and law of the iterated logarithm for a class of random variables with non-identical distributions
Yu, Haichao
Zhang, Yong
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (22) : 8169 - 8183
[3] Normal distributions and the law of the iterated logarithm
Hartman, P
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1941, 63 : 584 - 588
[4] The law of the iterated logarithm for LNQD sequences
Yong Zhang
[J]. Journal of Inequalities and Applications, 2018
[5] The law of the iterated logarithm for LNQD sequences
Zhang, Yong
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[6] LAW OF ITERATED LOGARITHM FOR EMPIRICAL DISTRIBUTIONS
FINKELSTEIN, H
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (02): : 607 - +
[7] ITERATED LOGARITHM LAW FOR SEQUENCES OF MAXIMA
HAAN, LD
HORDIJK, A
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (01): : 421 - &
[8] PROBABILITY DISTRIBUTIONS RELATED TO LAW OF ITERATED LOGARITHM
ROBBINS, H
SIEGMUND, D
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1969, 62 (01) : 11 - &
[9] ON THE LAW OF THE ITERATED LOGARITHM FOR THE DISCREPANCY OF LACUNARY SEQUENCES
Aistleitner, Christoph
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (11) : 5967 - 5982
[10] On the law of the iterated logarithm for permuted lacunary sequences
C. Aistleitner
I. Berkes
R. Tichy
[J]. Proceedings of the Steklov Institute of Mathematics, 2012, 276 : 3 - 20

← 1 2 3 4 5 →