On the strong laws of large numbers for pairwise NQD random variables

被引：0

作者：

Shi, Jianan ^{[1
]}

Yu, Zhenhong ^{[1
]}

Miao, Yu ^{[1
,2
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Strong law of large numbers; pairwise NQD random variables; general moment condition; identically distributed random variables; Marcinkiewicz-Zygmund strong law; CONVERGENCE;

D O I：

10.1080/03610926.2023.2189498

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：

Let {X,X-n,n >= 1} be a sequence of pairwise NQD identically distributed random variables and {b(n),n >= 1} be a sequence of positive constants. In this article, we study the strong laws of large numbers for the sequence {X,X-n,n >= 1} , under the general moment condition n-ary sumation (Sn=1P)-P-infinity(|X|>b(n)/ log n)< infinity , which improve some known results.

引用

页码：4745 / 4754

页数：10

共 11 条

[1] On complete convergence and the strong law of large numbers for pairwise independent random variables [J].

Bai, P. ;

Chen, P. -Y. ;

Sung, S. H. .

ACTA MATHEMATICA HUNGARICA, 2014, 142 (02) :502-518

[2] CONVERGENCE RATES IN LAW OF LARGE NUMBERS [J].

BAUM, LE ;

KATZ, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 120 (01) :108-&

[3] AN ELEMENTARY PROOF OF THE STRONG LAW OF LARGE NUMBERS [J].

ETEMADI, N .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1981, 55 (01) :119-122

[4]

Hu Shuhe, 2013, [Journal of Mathematical Research with Applications, 数学研究及应用], V33, P111

[5] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS [J].

JOAGDEV, K ;

PROSCHAN, F .

ANNALS OF STATISTICS, 1983, 11 (01) :286-295

[6] SOME CONCEPTS OF DEPENDENCE [J].

LEHMANN, EL .

ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05) :1137-&

[7] A NOTE ON THE ALMOST SURE CONVERGENCE OF SUMS OF NEGATIVELY DEPENDENT RANDOM-VARIABLES [J].

MATULA, P .

STATISTICS & PROBABILITY LETTERS, 1992, 15 (03) :209-213

[8]

Newman C. M., 1984, Lecture Notes-Monograph Series, V5, P127

[9] On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables [J].

Shen, Aiting ;

Zhang, Ying ;

Volodin, Andrei .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[10] On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions [J].

Sung, Soo Hak .

STATISTICS & PROBABILITY LETTERS, 2013, 83 (09) :1963-1968

← 1 2 →