Jajte-type strong limit theorem for pairwise negatively quadrant dependent random variables

被引：0

作者：

Wu, Yongfeng ^{[1
,2
]}

Hu, Tien-Chung ^{[3
]}

机构：

[1] Tongling Univ, Sch Math & Comp Sci, Tongling 244000, Anhui, Peoples R China

[2] Chuzhou Univ, Sch Math & Finance, Chuzhou, Anhui, Peoples R China

[3] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2025年 / 54卷 / 03期

关键词：

Complete convergence; Marcinkiewicz-Zygmund strong law; Kolmogorov strong law; pairwise negatively quadrant dependent random variables; WEIGHTED SUMS; LARGE NUMBERS; STRONG LAW;

D O I：

10.1080/03610926.2024.2319094

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：

The authors study the strong limit theorems for pairwise negatively quadrant dependent random variables, and present a new Jajte-type theorem on the complete convergence and the strong laws of large numbers. The results obtained in this article improve some corresponding theorems in the existing literature.

引用

页码：747 / 756

页数：10

共 11 条

[1] On the Jajte strong law of large numbers
Chen, Pingyan
Sung, Soo Hak
[J]. STATISTICS & PROBABILITY LETTERS, 2021, 176
[2] 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
[3] A note on the complete convergence for sequences of pairwise NQD random variables
Huang, Haiwu
Wang, Dingcheng
Wu, Qunying
Zhang, Qingxia
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[4] Jajte R, 2003, ANN PROBAB, V31, P409
[5] Strong limit theorems for weighted sums of negatively associated random variables
Jing, Bing-Yi
Liang, Han-Ying
[J]. JOURNAL OF THEORETICAL PROBABILITY, 2008, 21 (04) : 890 - 909
[6] SOME CONCEPTS OF DEPENDENCE
LEHMANN, EL
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1137 - &
[7] A NOTE ON THE ALMOST SURE CONVERGENCE OF SUMS OF NEGATIVELY DEPENDENT RANDOM-VARIABLES
MATULA, P
[J]. STATISTICS & PROBABILITY LETTERS, 1992, 15 (03) : 209 - 213
[8] Strong laws of large numbers for (ρ)over-tilde-mixing random variables
Meng, Yan-Jiao
Lin, Zheng-Yan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (02) : 711 - 717
[9] ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
Shen, Aiting
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 45 - 55
[10] Wu Qun Ying, 2002, Acta Mathematica Sinica, V45, P617

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