Complete convergence of randomly weighted END sequences and its application

We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent structure are obtained. As an application, we st...

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Detalles Bibliográficos
Autores principales: Li, Penghua, Li, Xiaoqin, Wu, Kehan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5547198/
https://www.ncbi.nlm.nih.gov/pubmed/28835732
http://dx.doi.org/10.1186/s13660-017-1457-1
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author Li, Penghua
Li, Xiaoqin
Wu, Kehan
author_facet Li, Penghua
Li, Xiaoqin
Wu, Kehan
author_sort Li, Penghua
collection PubMed
description We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent structure are obtained. As an application, we study the convergence of the state observers of linear-time-invariant systems. Our results extend the corresponding earlier ones.
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spelling pubmed-55471982017-08-21 Complete convergence of randomly weighted END sequences and its application Li, Penghua Li, Xiaoqin Wu, Kehan J Inequal Appl Research We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent structure are obtained. As an application, we study the convergence of the state observers of linear-time-invariant systems. Our results extend the corresponding earlier ones. Springer International Publishing 2017-08-07 2017 /pmc/articles/PMC5547198/ /pubmed/28835732 http://dx.doi.org/10.1186/s13660-017-1457-1 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
Li, Penghua
Li, Xiaoqin
Wu, Kehan
Complete convergence of randomly weighted END sequences and its application
title Complete convergence of randomly weighted END sequences and its application
title_full Complete convergence of randomly weighted END sequences and its application
title_fullStr Complete convergence of randomly weighted END sequences and its application
title_full_unstemmed Complete convergence of randomly weighted END sequences and its application
title_short Complete convergence of randomly weighted END sequences and its application
title_sort complete convergence of randomly weighted end sequences and its application
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5547198/
https://www.ncbi.nlm.nih.gov/pubmed/28835732
http://dx.doi.org/10.1186/s13660-017-1457-1
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AT wukehan completeconvergenceofrandomlyweightedendsequencesanditsapplication

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