LIMSUP THEOREMS AND A UNIFORM LIL FOR ASYMPTOTICALLY NEGATIVELY ASSOCIATED RANDOM SEQUENCES

被引：0

作者：

Choi, Yong-Kab

Hwang, Kyo-Shin ^{[1
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2012年 / 49卷 / 02期

关键词：

Asymptotically negatively associated random variables; strictly stationary sequence; law of the iterated logarithm; PARTIAL SUM PROCESSES; RANDOM-VARIABLES; ITERATED LOGARITHM; RANDOM-FIELDS; LAW;

D O I：

10.1556/SScMath.49.2012.2.1201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish some limsup theorems and a generalized uniform law of the iterated logarithm (LIL) for the increments of the partial sums of a strictly stationary and asymptotically negatively associated (ANA) sequence of random variables.

引用

页码：223 / 235

页数：13

共 50 条

[41] A Berry-Esseen Theorem and a Law of the Iterated Logarithm for Asymptotically Negatively Associated Sequences
Jian Feng WANG Department of Statistics
[J]. Acta Mathematica Sinica,English Series, 2007, 23 (01) : 127 - 136
[42] Uniform bounds in normal approximation under negatively associated random fields
Cai, Guang-hui
Wang, Jian-Feng
[J]. STATISTICS & PROBABILITY LETTERS, 2009, 79 (02) : 215 - 222
[43] LIMIT THEOREMS FOR SEQUENCES OF RANDOM VARIABLES WITH SEQUENCES OF RANDOM INDECES
RICHTER, W
[J]. THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1965, 10 (01): : 74 - &
[44] Complete moment convergence and Lr convergence for asymptotically almost negatively associated random variables
Xi, Mengmei
Tang, Xufei
Lin, Junjie
Wang, Ming
Wang, Xuejun
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (20) : 10373 - 10386
[45] Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
Huang, Xiang
Wu, Yongfeng
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[46] Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
Xiang Huang
Yongfeng Wu
[J]. Journal of Inequalities and Applications, 2018
[47] Some maximal inequalities and complete convergences of negatively associated random sequences
Huang, WT
Xu, B
[J]. STATISTICS & PROBABILITY LETTERS, 2002, 57 (02) : 183 - 191
[48] Limit theorems for negatively dependent random variables
Patterson, RF
Smith, WD
Taylor, RL
Bozorgnia, A
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (02) : 1283 - 1295
[49] SOME RANDOM FIXED POINT THEOREMS FOR RANDOM ASYMPTOTICALLY REGULAR OPERATORS
Kumam, Poom
Plubtieng, Somyot
[J]. DEMONSTRATIO MATHEMATICA, 2009, 42 (01) : 131 - 141
[50] Strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
Chen, Zhiyong
Wang, Xuejun
Hu, Shuhe
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2015, 109 (01) : 135 - 152

← 1 2 3 4 5 →