Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences

Let [Formula: see text] be a strictly stationary [Formula: see text] -mixing sequence of positive random variables, under the suitable conditions, we get the almost sure central limit theorem for the products of the some partial sums [Formula: see text] , where [Formula: see text] is a constant, and...

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Detalles Bibliográficos
Autores principales: Tan, Xili, Liu, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154046/
https://www.ncbi.nlm.nih.gov/pubmed/30839646
http://dx.doi.org/10.1186/s13660-018-1835-3
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author Tan, Xili
Liu, Wei
author_facet Tan, Xili
Liu, Wei
author_sort Tan, Xili
collection PubMed
description Let [Formula: see text] be a strictly stationary [Formula: see text] -mixing sequence of positive random variables, under the suitable conditions, we get the almost sure central limit theorem for the products of the some partial sums [Formula: see text] , where [Formula: see text] is a constant, and [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] .
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spelling pubmed-61540462018-10-10 Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences Tan, Xili Liu, Wei J Inequal Appl Research Let [Formula: see text] be a strictly stationary [Formula: see text] -mixing sequence of positive random variables, under the suitable conditions, we get the almost sure central limit theorem for the products of the some partial sums [Formula: see text] , where [Formula: see text] is a constant, and [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] . Springer International Publishing 2018-09-14 2018 /pmc/articles/PMC6154046/ /pubmed/30839646 http://dx.doi.org/10.1186/s13660-018-1835-3 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Tan, Xili
Liu, Wei
Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences
title Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences
title_full Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences
title_fullStr Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences
title_full_unstemmed Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences
title_short Almost sure central limit theorem for self-normalized products of the some partial sums of [Formula: see text] -mixing sequences
title_sort almost sure central limit theorem for self-normalized products of the some partial sums of [formula: see text] -mixing sequences
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154046/
https://www.ncbi.nlm.nih.gov/pubmed/30839646
http://dx.doi.org/10.1186/s13660-018-1835-3
work_keys_str_mv AT tanxili almostsurecentrallimittheoremforselfnormalizedproductsofthesomepartialsumsofformulaseetextmixingsequences
AT liuwei almostsurecentrallimittheoremforselfnormalizedproductsofthesomepartialsumsofformulaseetextmixingsequences

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