On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables

被引：0

作者：

Sun, Xiang ^{[1
]}

Liu, Zhao-yang ^{[1
]}

Shen, Yan ^{[1
]}

Zhang, Ke-chao ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230031, Anhui, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2019年 / 52卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Complete moment convergence; randomly weighted; negatively superadditive dependent random variables; QUADRATIC-FORMS; INEQUALITIES; ARRAYS;

D O I：

10.4208/jms.v52n1.19.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.

引用

页码：30 / 37

页数：8

共 50 条

[1] Complete moment convergence and complete convergence for weighted sums of NSD random variables
Xin Deng
Xuejun Wang
Yi Wu
Yang Ding
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016, 110 : 97 - 120
[2] Complete moment convergence and complete convergence for weighted sums of NSD random variables
Deng, Xin
Wang, Xuejun
Wu, Yi
Ding, Yang
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (01) : 97 - 120
[3] On complete moment convergence for the maximal weighted sums of NSD random variables
Huang, Haiwu
Yuan, Yuan
Wang, Wei
Zeng, Hongguo
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (10) : 3779 - 3796
[4] Complete and complete moment convergence for randomly weighted sums of ρ*-mixing random variables and its applications
Lu, Chao
Li, Xiaoqin
Wang, Rui
Wang, Xuejun
STATISTICS, 2020, 54 (01) : 205 - 237
[5] Complete Convergence for Randomly Weighted Sums of Random Variables Satisfying Some Moment Inequalities
Ping Yan CHEN
Soo Hak SUNG
Acta Mathematica Sinica,English Series, 2021, 37 (02) : 279 - 288
[6] Complete moment convergence for randomly weighted sums of negatively superadditive dependent random variables
Lu, Chao
Qi, Jibing
Wang, Rui
Wang, Xuejun
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024, 53 (06) : 2966 - 2975
[7] Complete Convergence for Randomly Weighted Sums of Random Variables Satisfying Some Moment Inequalities
Chen, Ping Yan
Sung, Soo Hak
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (02) : 279 - 288
[8] Complete Convergence for Randomly Weighted Sums of Random Variables Satisfying Some Moment Inequalities
Ping Yan Chen
Soo Hak Sung
Acta Mathematica Sinica, English Series, 2021, 37 : 279 - 288
[9] Equivalent conditions of the complete convergence for weighted sums of NSD random variables
Huang, Haiwu
Zou, Hang
Zhang, Qingxia
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (18) : 4675 - 4689
[10] On the rate of complete convergence for weighted sums of NSD random variables and an application
NADERI Habib
AMINI Mohammad
BOZORGNIA Abolghasem
Applied Mathematics:A Journal of Chinese Universities, 2017, 32 (03) : 270 - 280

← 1 2 3 4 5 →