Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence

In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our results can generalize some conclusions related to Hsu–Robbins–Erdös strong laws and Baum–Ka...

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Detalles Bibliográficos
Autores principales: Ma, Huanhuan, Sun, Yan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061532/
https://www.ncbi.nlm.nih.gov/pubmed/30137901
http://dx.doi.org/10.1186/s13660-018-1770-3
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author Ma, Huanhuan
Sun, Yan
author_facet Ma, Huanhuan
Sun, Yan
author_sort Ma, Huanhuan
collection PubMed
description In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our results can generalize some conclusions related to Hsu–Robbins–Erdös strong laws and Baum–Katz type theorems for martingales.
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spelling pubmed-60615322018-08-09 Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence Ma, Huanhuan Sun, Yan J Inequal Appl Research In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our results can generalize some conclusions related to Hsu–Robbins–Erdös strong laws and Baum–Katz type theorems for martingales. Springer International Publishing 2018-07-13 2018 /pmc/articles/PMC6061532/ /pubmed/30137901 http://dx.doi.org/10.1186/s13660-018-1770-3 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
Ma, Huanhuan
Sun, Yan
Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
title Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
title_full Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
title_fullStr Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
title_full_unstemmed Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
title_short Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
title_sort complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061532/
https://www.ncbi.nlm.nih.gov/pubmed/30137901
http://dx.doi.org/10.1186/s13660-018-1770-3
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AT sunyan completeconvergenceandcompletemomentconvergenceforrandomlyweightedsumsofmartingaledifferencesequence

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