The almost sure local central limit theorem for products of partial sums under negative association

Let [Formula: see text] be a strictly stationary negatively associated sequence of positive random variables with [Formula: see text] and [Formula: see text] . Denote [Formula: see text] and [Formula: see text] the coefficient of variation. Under some suitable conditions, we derive the almost sure l...

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Detalles Bibliográficos
Autores principales: Jiang, Yuanying, Wu, Qunying
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182410/
https://www.ncbi.nlm.nih.gov/pubmed/30363778
http://dx.doi.org/10.1186/s13660-018-1875-8
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author Jiang, Yuanying
Wu, Qunying
author_facet Jiang, Yuanying
Wu, Qunying
author_sort Jiang, Yuanying
collection PubMed
description Let [Formula: see text] be a strictly stationary negatively associated sequence of positive random variables with [Formula: see text] and [Formula: see text] . Denote [Formula: see text] and [Formula: see text] the coefficient of variation. Under some suitable conditions, we derive the almost sure local central limit theorem [Formula: see text] where [Formula: see text] .
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spelling pubmed-61824102018-10-22 The almost sure local central limit theorem for products of partial sums under negative association Jiang, Yuanying Wu, Qunying J Inequal Appl Research Let [Formula: see text] be a strictly stationary negatively associated sequence of positive random variables with [Formula: see text] and [Formula: see text] . Denote [Formula: see text] and [Formula: see text] the coefficient of variation. Under some suitable conditions, we derive the almost sure local central limit theorem [Formula: see text] where [Formula: see text] . Springer International Publishing 2018-10-10 2018 /pmc/articles/PMC6182410/ /pubmed/30363778 http://dx.doi.org/10.1186/s13660-018-1875-8 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
Jiang, Yuanying
Wu, Qunying
The almost sure local central limit theorem for products of partial sums under negative association
title The almost sure local central limit theorem for products of partial sums under negative association
title_full The almost sure local central limit theorem for products of partial sums under negative association
title_fullStr The almost sure local central limit theorem for products of partial sums under negative association
title_full_unstemmed The almost sure local central limit theorem for products of partial sums under negative association
title_short The almost sure local central limit theorem for products of partial sums under negative association
title_sort almost sure local central limit theorem for products of partial sums under negative association
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182410/
https://www.ncbi.nlm.nih.gov/pubmed/30363778
http://dx.doi.org/10.1186/s13660-018-1875-8
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