ψ-混合序列的若干收敛结果

数学季刊 ›› 2013, Vol. 28 ›› Issue (1): 111-117.

ψ-混合序列的若干收敛结果

School of Mathematical Science, Anhui University

收稿日期:2011-09-19 出版日期:2013-03-30 发布日期:2023-03-10
作者简介:PAN Jing(1992-), female, native of Huangshan, Anhui, engages in probability limit theorem.
基金资助:
Supported by the University Students Science Research Training Program of Anhui University(KYXL20110004)

Some Convergence Results for Sequences of ψ-mixing Random Variables

School of Mathematical Science, Anhui University

Received:2011-09-19 Online:2013-03-30 Published:2023-03-10
About author:PAN Jing(1992-), female, native of Huangshan, Anhui, engages in probability limit theorem.
Supported by:
Supported by the University Students Science Research Training Program of Anhui University(KYXL20110004)

摘要/Abstract

摘要： In this paper, we will present some strong convergence results for sequences of ψ-mixing random variables. The results for sequences of ψ-mixing random variables generalize the corresponding results for independent random variable sequences without any extra conditions.

关键词: Khintchine-Kolmogorov-type convergence theorem, strong law of large numbers, ψ-mixing random variables

Abstract: In this paper, we will present some strong convergence results for sequences of ψ-mixing random variables. The results for sequences of ψ-mixing random variables generalize the corresponding results for independent random variable sequences without any extra conditions.

Key words: Khintchine-Kolmogorov-type convergence theorem, strong law of large numbers, ψ-mixing random variables

中图分类号:

O211.4

潘婧, 朱业春, 邹委员, 王学军. ψ-混合序列的若干收敛结果[J]. 数学季刊, 2013, 28(1): 111-117.

PAN Jing, ZHU Ye-chun, ZOU Wei-yuan, WANG Xue-jun. Some Convergence Results for Sequences of ψ-mixing Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 111-117.

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