On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables

Let [Formula: see text] , [Formula: see text] , and [Formula: see text] with [Formula: see text] . Let [Formula: see text] be an array of constants satisfying [Formula: see text] , and let [Formula: see text] be a sequence of identically distributed [Formula: see text] -mixing random variables. For...

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Detalles Bibliográficos
Autores principales: Chen, Pingyan, Sung, Soo Hak
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5982509/
https://www.ncbi.nlm.nih.gov/pubmed/29901025
http://dx.doi.org/10.1186/s13660-018-1710-2
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author Chen, Pingyan
Sung, Soo Hak
author_facet Chen, Pingyan
Sung, Soo Hak
author_sort Chen, Pingyan
collection PubMed
description Let [Formula: see text] , [Formula: see text] , and [Formula: see text] with [Formula: see text] . Let [Formula: see text] be an array of constants satisfying [Formula: see text] , and let [Formula: see text] be a sequence of identically distributed [Formula: see text] -mixing random variables. For each of the three cases [Formula: see text] , [Formula: see text] , and [Formula: see text] , we provide moment conditions under which [Formula: see text] We also provide moment conditions under which [Formula: see text] where [Formula: see text] . Our results improve and generalize those of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010) and Wu et al. (Stat. Probab. Lett. 127:55–66, 2017).
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spelling pubmed-59825092018-06-11 On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables Chen, Pingyan Sung, Soo Hak J Inequal Appl Research Let [Formula: see text] , [Formula: see text] , and [Formula: see text] with [Formula: see text] . Let [Formula: see text] be an array of constants satisfying [Formula: see text] , and let [Formula: see text] be a sequence of identically distributed [Formula: see text] -mixing random variables. For each of the three cases [Formula: see text] , [Formula: see text] , and [Formula: see text] , we provide moment conditions under which [Formula: see text] We also provide moment conditions under which [Formula: see text] where [Formula: see text] . Our results improve and generalize those of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010) and Wu et al. (Stat. Probab. Lett. 127:55–66, 2017). Springer International Publishing 2018-06-01 2018 /pmc/articles/PMC5982509/ /pubmed/29901025 http://dx.doi.org/10.1186/s13660-018-1710-2 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
Chen, Pingyan
Sung, Soo Hak
On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables
title On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables
title_full On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables
title_fullStr On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables
title_full_unstemmed On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables
title_short On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables
title_sort on complete convergence and complete moment convergence for weighted sums of [formula: see text] -mixing random variables
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5982509/
https://www.ncbi.nlm.nih.gov/pubmed/29901025
http://dx.doi.org/10.1186/s13660-018-1710-2
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