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Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation
In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of [Formula: see text] , further [Formula: see text] , [Formula: see text] ([Formula: see...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5651798/ https://www.ncbi.nlm.nih.gov/pubmed/29104399 http://dx.doi.org/10.1186/s13660-017-1538-1 |
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author | Zhong, Haoyuan Wu, Qunying |
author_facet | Zhong, Haoyuan Wu, Qunying |
author_sort | Zhong, Haoyuan |
collection | PubMed |
description | In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of [Formula: see text] , further [Formula: see text] , [Formula: see text] ([Formula: see text] is a slow varying and monotone nondecreasing function). As an application, the Baum-Katz type result for weighted sums of extended negatively dependent random variables is established under sub-linear expectations space. The results obtained in the article are the extensions of the complete convergence and complete moment convergence under classical linear expectation space. |
format | Online Article Text |
id | pubmed-5651798 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-56517982017-11-01 Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation Zhong, Haoyuan Wu, Qunying J Inequal Appl Research In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of [Formula: see text] , further [Formula: see text] , [Formula: see text] ([Formula: see text] is a slow varying and monotone nondecreasing function). As an application, the Baum-Katz type result for weighted sums of extended negatively dependent random variables is established under sub-linear expectations space. The results obtained in the article are the extensions of the complete convergence and complete moment convergence under classical linear expectation space. Springer International Publishing 2017-10-23 2017 /pmc/articles/PMC5651798/ /pubmed/29104399 http://dx.doi.org/10.1186/s13660-017-1538-1 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 Zhong, Haoyuan Wu, Qunying Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation |
title | Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation |
title_full | Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation |
title_fullStr | Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation |
title_full_unstemmed | Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation |
title_short | Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation |
title_sort | complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5651798/ https://www.ncbi.nlm.nih.gov/pubmed/29104399 http://dx.doi.org/10.1186/s13660-017-1538-1 |
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