Complete Convergence for Weighted Sums of WOD Random Variables

ZHANG Ying , ZHANG Yu , SHEN Ai-ting

doi:10.13371/j.cnki.chin.q.j.m.2016.01.001

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 1: 1 - 8

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.01.001

Complete Convergence for Weighted Sums of WOD Random Variables

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School of Mathematical Sciences, Anhui University

ZHANG Ying(1993-), female, native of Putian, Fujian, engages in probability limit theorem; ZHANG Yu(1989-), male, native of Hefei, Anhui, engages in probability limit theorem; SHEN Ai-ting(1979-), female, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability limit theorem.

Received date: 2014-07-08

Online published: 2020-11-12

Supported by

Supported by the Natural Science Foundation of Anhui Province(1308085QA03)； Supported by the Quality Improvement Projects for Undergraduate Education of Anhui University(ZLTS2015035);Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407);Supported by the Students Innovative Training Project of Anhui University(201410357118)；

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Abstract

In this article, we study the complete convergence for weighted sums of widely orthant dependent random variables. By using the exponential probability inequality, we establish a complete convergence result for weighted sums of widely orthant dependent random variables under mild conditions of weights and moments. The result obtained in the paper generalizes the corresponding ones for independent random variables and negatively dependent random variables.

Key words： widely orthant dependence; complete convergence; weighted sums

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ZHANG Ying , ZHANG Yu , SHEN Ai-ting . Complete Convergence for Weighted Sums of WOD Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(1) : 1 -8 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.01.001

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