NSD变量加权和的完全收敛性

doi:10.13371/j.cnki.chin.q.j.m.2016.04.004

数学季刊 ›› 2016, Vol. 31 ›› Issue (4): 359-368.doi: 10.13371/j.cnki.chin.q.j.m.2016.04.004

NSD变量加权和的完全收敛性

School of Mathematical Sciences,Anhui University

收稿日期:2014-06-30 出版日期:2016-12-30 发布日期:2020-10-30
作者简介:WANG Qiang(1993-), female, native of Nantong, Jiangsu, B.S.D., engages in statistics; WANG Xue-jun (1981-), male, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability theory and mathematical statistics.
基金资助:
Supported by the Natural Science Foundation of Anhui Province(1508085J06)； Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)； Supported by the Students Innovative Training Project of Anhui

University(201510357118)；

Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables

School of Mathematical Sciences,Anhui University

Received:2014-06-30 Online:2016-12-30 Published:2020-10-30
About author:WANG Qiang(1993-), female, native of Nantong, Jiangsu, B.S.D., engages in statistics; WANG Xue-jun (1981-), male, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability theory and mathematical statistics.
Supported by:
Supported by the Natural Science Foundation of Anhui Province(1508085J06)； Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)； Supported by the Students Innovative Training Project of Anhui University(201510357118)；

摘要/Abstract

摘要： In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables.

关键词: negatively superadditive dependent random variables, Rosenthal-type inequality, complete convergence

Abstract: In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables.

Key words: negatively superadditive dependent random variables, Rosenthal-type inequality, complete convergence

中图分类号:

O211.4

王嫱, 周德霞, 杜玲, 潇如, 王学军. NSD变量加权和的完全收敛性[J]. 数学季刊, 2016, 31(4): 359-368.

WANG Qiang, ZHOU De-xia, DU Ling, XIAO Ru, WANG Xue-jun. Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 359-368.

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NSD变量加权和的完全收敛性

Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables

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