Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Zhong, Haoyuan, Wu, Qunying
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
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
_version_ 1783272950309322752
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
work_keys_str_mv AT zhonghaoyuan completeconvergenceandcompletemomentconvergenceforweightedsumsofextendednegativelydependentrandomvariablesundersublinearexpectation
AT wuqunying completeconvergenceandcompletemomentconvergenceforweightedsumsofextendednegativelydependentrandomvariablesundersublinearexpectation