Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables

In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiew...

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Detalles Bibliográficos
Autores principales: Huang, Haiwu, Zhang, Qingxia, Wu, Xiongtao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6267401/
https://www.ncbi.nlm.nih.gov/pubmed/30839878
http://dx.doi.org/10.1186/s13660-018-1906-5
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author Huang, Haiwu
Zhang, Qingxia
Wu, Xiongtao
author_facet Huang, Haiwu
Zhang, Qingxia
Wu, Xiongtao
author_sort Huang, Haiwu
collection PubMed
description In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones.
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spelling pubmed-62674012018-12-11 Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables Huang, Haiwu Zhang, Qingxia Wu, Xiongtao J Inequal Appl Research In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones. Springer International Publishing 2018-11-23 2018 /pmc/articles/PMC6267401/ /pubmed/30839878 http://dx.doi.org/10.1186/s13660-018-1906-5 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
Huang, Haiwu
Zhang, Qingxia
Wu, Xiongtao
Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
title Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
title_full Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
title_fullStr Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
title_full_unstemmed Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
title_short Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
title_sort sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6267401/
https://www.ncbi.nlm.nih.gov/pubmed/30839878
http://dx.doi.org/10.1186/s13660-018-1906-5
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AT wuxiongtao sufficientandnecessaryconditionsofcompleteconvergenceforasymptoticallynegativelyassociatedrandomvariables

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