Almost sure central limit theorems for strongly mixing and associated random variables-Reference-Cited by-同舟云学术

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Almost sure central limit theorems for strongly mixing and associated random variables

Published:2002 Issue:3 Volume:29 Page:125-131
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Gonchigdanzan Khurelbaatar¹

Affiliation:

1. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA

Abstract

We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rateα(n)=O((loglogn)−1−δ). We also show that ASCLT holds for an associated sequence of random variables without a stationarity assumption.

Funder

University of Cincinnati

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2002/831705.pdf

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Almost sure central limit theorems for weighted dependent sequences;Studia Scientiarum Mathematicarum Hungarica;2019-06

2. On the local times of stationary processes with conditional local limit theorems;Stochastic Processes and their Applications;2018-07

3. An almost sure central limit theorem for products of sums of partial sums under association;Journal of Mathematical Analysis and Applications;2009-07

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