Hajek-R,nyi-type inequality and strong law of large numbers for some dependent sequences

被引：6

作者：

Yang, Wen-zhi ^{[1
]}

Shen, Yan ^{[1
]}

Hu, Shu-he ^{[1
]}

Wang, Xue-jun ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2012年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hajek-Renyi-type inequality; pairwise NQD sequence; L-r(r > 1) mixingale; linear process; RENYI-TYPE INEQUALITY;

D O I：

10.1007/s10255-012-0165-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we get the Hajek-R,nyi-type inequalities for a pairwise NQD sequence, an L (r) (r > 1) mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law of large numbers, strong growth rate and the integrability of supremum for the above sequences, which generalize and improve Corollary 2 for L (r) (r > 1) mixingale of Hansen.

引用

页码：495 / 504

页数：10

共 17 条

[1] [Anonymous], 1955, Acta Mathematica Hungarica
[2] A general approach to the strong law of large numbers
Fazekas, I
Klesov, O
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 2000, 45 (03) : 436 - 449
[3] Gan SX, 2008, ACTA MATH SCI, V28, P269
[4] Gan SX, 1997, STAT PROBABIL LETT, V32, P245
[5] Hall P., 1980, Martingale Limit Theory and Its Application
[6] STRONG LAWS FOR DEPENDENT HETEROGENEOUS PROCESSES
HANSEN, BE
[J]. ECONOMETRIC THEORY, 1991, 7 (02) : 213 - 221
[7] A general approach rate to the strong law of large numbers
Hu, SH
Ming, H
[J]. STATISTICS & PROBABILITY LETTERS, 2006, 76 (08) : 843 - 851
[8] On extending the Brunk-Prokhorov strong law of large numbers for martingale differences
Hu Shuhe
Chen Guijing
Wang Xuejun
[J]. STATISTICS & PROBABILITY LETTERS, 2008, 78 (18) : 3187 - 3194
[9] The Hajek-Renyi-type inequality for associated random variables
Hu Shuhe
Wang Xuejun
Yang Wenzhi
Zhao Ting
[J]. STATISTICS & PROBABILITY LETTERS, 2009, 79 (07) : 884 - 888
[10] SOME CONCEPTS OF DEPENDENCE
LEHMANN, EL
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1137 - &

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