Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables

被引：4

作者：

Chen, Meiqian ^{[1
]}

Chen, Kan ^{[2
]}

Wang, Zijian ^{[1
]}

Lu, Zhengliang ^{[1
]}

Wang, Xuejun ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Chaohu Univ, Sch Math & Stat, Hefei, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2020年 / 49卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Complete convergence; complete moment convergence; Marcinkiewicz-Zygmund type strong law of large numbers; negatively superadditive dependent random variables; MOVING AVERAGE PROCESSES; WEIGHTED SUMS;

D O I：

10.1080/03610926.2018.1554136

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 this paper, the complete moment convergence for arrays of rowwise negatively superadditive dependent (NSD, for short) random variables is established. As applications, the complete convergence and the Marcinkiewicz-Zygmund type strong law of large numbers for arrays of rowwise NSD random variables are also obtained. Finally, a numerical simulation is carried out to verify the validity of theoretical results. The results obtained in the paper extend the corresponding ones in the literature.

引用

页码：1158 / 1173

页数：16

共 23 条

[1] Complete convergence and strong laws of large numbers for weighted sums of negatively orthant dependent random variables
Chen, P.
Sung, S. H.
[J]. ACTA MATHEMATICA HUNGARICA, 2016, 148 (01) : 83 - 95
[2] Chow YS., 1988, Bull Inst Math Acad Sinica, V16, P177
[3] A connection between supermodular ordering and positive/negative association
Christofides, TC
Vaggelatou, E
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2004, 88 (01) : 138 - 151
[4] Some maximal inequalities for quadratic forms of negative superadditive dependence random variables
Eghbal, N.
Amini, M.
Bozorgnia, A.
[J]. STATISTICS & PROBABILITY LETTERS, 2010, 80 (7-8) : 587 - 591
[5] On the limiting behavior of the maximum partial sums for arrays of rowwise NA random variables
Gan Shixin
Chen Pingyan
[J]. ACTA MATHEMATICA SCIENTIA, 2007, 27 (02) : 283 - 290
[6] COMPLETE CONVERGENCE AND THE LAW OF LARGE NUMBERS
HSU, PL
ROBBINS, H
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1947, 33 (02) : 25 - 31
[7] Hu T.Z., 2000, CHIN J APPL PROBAB S, V16, P133
[8] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS
JOAGDEV, K
PROSCHAN, F
[J]. ANNALS OF STATISTICS, 1983, 11 (01) : 286 - 295
[9] KEMPERMAN JHB, 1977, P K NED AKAD A MATH, V80, P313
[10] On complete convergence in Marcinkiewicz-Zygmund type SLLN for negatively associated random variables
Kuczmaszewska, A.
[J]. ACTA MATHEMATICA HUNGARICA, 2010, 128 (1-2) : 116 - 130

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