Complete and Complete f-Moment Convergence for Arrays of Rowwise END Random Variables and Some Applications

被引：4

作者：

Zhou, Jin Yu ^{[1
]}

Yan, Ji Gao ^{[1
]}

Du, Fei ^{[1
]}

机构：

[1] Soochow Univ, Sch Math Sci, 1 Shizi Str, Suzhou, Jiangsu, Peoples R China

来源：

SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY | 2022年 / 85卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Complete convergence; complete f-moment convergence; rowwise END array; WEIGHTED SUMS; LIMITING BEHAVIOR;

D O I：

10.1007/s13171-022-00289-0

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, complete convergence and complete f-moment convergence for arrays of rowwise Extended Negatively Dependent (END, in short) random variables are investigated, and some sufficient conditions for the convergence are provided. The results obtained improved the corresponding ones for random variables with independence structure and some dependence structures.

引用

页码：1307 / 1330

页数：24

共 19 条

[1]

Chow Y.S., 1988, B I MATH ACAD SINICA, V16, P177

[2] LIMITING BEHAVIOUR FOR ARRAYS OF UPPER EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES [J].

Da Silva, Joao Lita .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 92 (01) :159-167

[3] COMPLETE CONVERGENCE AND THE LAW OF LARGE NUMBERS [J].

HSU, PL ;

ROBBINS, H .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1947, 33 (02) :25-31

[4]

Hu TC, 2015, SANKHYA SER A, V77, P1

[5] Convergence in p-mean for arrays of row-wise extended negatively dependent random variables [J].

Lita da Silva, J. .

ACTA MATHEMATICA HUNGARICA, 2016, 150 (02) :346-362

[6] LIMITING BEHAVIOR FOR ARRAYS OF ROW-WISE UPPER EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES [J].

Lita Da Silva, J. .

ACTA MATHEMATICA HUNGARICA, 2016, 148 (02) :481-492

[7] Precise large deviations for dependent random variables with heavy tails [J].

Liu, Li .

STATISTICS & PROBABILITY LETTERS, 2009, 79 (09) :1290-1298

[8] ON THE COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES [J].

Qiu, Dehua ;

Chen, Pingyan ;

Antonini, Rita Giuliano ;

Volodin, Andrei .

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (02) :379-392

[9] Strong laws of large numbers for arrays of row-wise extended negatively dependent random variables with applications [J].

Silva, Joao Lita .

JOURNAL OF NONPARAMETRIC STATISTICS, 2020, 32 (01) :20-41

[10] Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate [J].

Wang, Kaiyong ;

Wang, Yuebao ;

Gao, Qingwu .

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2013, 15 (01) :109-124

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