Equivalent conditions of complete moment convergence for extended negatively dependent random variables

In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence obtained by Chow (Bull. Inst. Math. Acad. Sin. 1...

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Detalles Bibliográficos
Autores principales: Wu, Qunying, Zeng, Xiang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487933/
https://www.ncbi.nlm.nih.gov/pubmed/28680228
http://dx.doi.org/10.1186/s13660-017-1403-2
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author Wu, Qunying
Zeng, Xiang
author_facet Wu, Qunying
Zeng, Xiang
author_sort Wu, Qunying
collection PubMed
description In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence obtained by Chow (Bull. Inst. Math. Acad. Sin. 16:177-201, 1988) and Li and Spătaru (J. Theor. Probab. 18:933-947, 2005) from the i.i.d. case to extended negatively dependent sequences.
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spelling pubmed-54879332017-07-03 Equivalent conditions of complete moment convergence for extended negatively dependent random variables Wu, Qunying Zeng, Xiang J Inequal Appl Research In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence obtained by Chow (Bull. Inst. Math. Acad. Sin. 16:177-201, 1988) and Li and Spătaru (J. Theor. Probab. 18:933-947, 2005) from the i.i.d. case to extended negatively dependent sequences. Springer International Publishing 2017-05-31 2017 /pmc/articles/PMC5487933/ /pubmed/28680228 http://dx.doi.org/10.1186/s13660-017-1403-2 Text en © The Author(s) 2017 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
Wu, Qunying
Zeng, Xiang
Equivalent conditions of complete moment convergence for extended negatively dependent random variables
title Equivalent conditions of complete moment convergence for extended negatively dependent random variables
title_full Equivalent conditions of complete moment convergence for extended negatively dependent random variables
title_fullStr Equivalent conditions of complete moment convergence for extended negatively dependent random variables
title_full_unstemmed Equivalent conditions of complete moment convergence for extended negatively dependent random variables
title_short Equivalent conditions of complete moment convergence for extended negatively dependent random variables
title_sort equivalent conditions of complete moment convergence for extended negatively dependent random variables
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487933/
https://www.ncbi.nlm.nih.gov/pubmed/28680228
http://dx.doi.org/10.1186/s13660-017-1403-2
work_keys_str_mv AT wuqunying equivalentconditionsofcompletemomentconvergenceforextendednegativelydependentrandomvariables
AT zengxiang equivalentconditionsofcompletemomentconvergenceforextendednegativelydependentrandomvariables

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