An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences

An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences

Year:    2012

Author:    Guangyu Zou, Yong Zhang

Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 359–366

Abstract

In this paper, we prove an almost sure central limit theorem for weighted sums of mixing sequences of random variables without stationary assumptions. We no longer restrict to logarithmic averages, but allow rather arbitrary weight sequences. This extends the earlier work on mixing random variables.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2012-CMR-19039

Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 359–366

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    almost sure central limit theorem weighted sum mixing sequence logarithmic average.

Author Details

Guangyu Zou

Yong Zhang