An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences
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@Article{CMR-28-359,
author = {Zou , Guangyu and Zhang , Yong},
title = {An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {28},
number = {4},
pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19039.html} }
TY - JOUR
T1 - An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences
AU - Zou , Guangyu
AU - Zhang , Yong
JO - Communications in Mathematical Research
VL - 4
SP - 359
EP - 366
PY - 2021
DA - 2021/05
SN - 28
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19039.html
KW - almost sure central limit theorem, weighted sum, mixing sequence,
logarithmic average.
AB -
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.
Zou , Guangyu and Zhang , Yong. (2021). An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences.
Communications in Mathematical Research . 28 (4).
359-366.
doi:
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