φ混合序列加权和的完全收敛性

刘婷婷, 王学军, 王星惠

doi:10.13371/j.cnki.chin.q.j.m.2017.02.006

数学季刊 >

2017 , Vol. 32 >Issue 2: 161 - 171

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.006

φ混合序列加权和的完全收敛性

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1. Department of Finance and Economics, Hefei Economic and Trade Tourism School2. Department of Statistics, Anhui University

LIU Ting-ting(1987-), female, native of Luan, Anhui, an assistant of Hefei Economic and Trade Tourism School, M.S.D., engages in probability theory and mathmatical statistocs.

收稿日期: 2014-08-23

网络出版日期: 2020-10-23

基金资助

Supported by the National Natural Science Foundation of China(11671012,11526033,11501004,11501005)； Supported by the Natural Science Foundation of Anhui Province(1608085QA02)； Supported by the Science Fund for Distinguished Young Scholars of Anhui Province(1508085J06)；

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Complete Convergence for Weighted Sums of \tilde{φ} -mixing Sequence

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1. Department of Finance and Economics, Hefei Economic and Trade Tourism School2. Department of Statistics, Anhui University

LIU Ting-ting(1987-), female, native of Luan, Anhui, an assistant of Hefei Economic and Trade Tourism School, M.S.D., engages in probability theory and mathmatical statistocs.

Received date: 2014-08-23

Online published: 2020-10-23

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摘要

In this paper, the complete convergence and strong law of large numbers for weighted sums of φ-mixing sequence with different distribution are investigated under some weaker moment conditions. Our results extend ones of independent sequence with identical distribution to the case of φ-mixing sequence with different distribution.

关键词： weighted sums; \tilde{φ}-mixing sequence; complete convergence; strong law of large numbers

本文引用格式

刘婷婷, 王学军, 王星惠 . φ混合序列加权和的完全收敛性[J]. 数学季刊, 2017 , 32(2) : 161 -171 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.02.006

Abstract

Key words： weighted sums; \tilde{φ}-mixing sequence; complete convergence; strong law of large numbers

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Abstract