Some limit theorems for weighted negative quadrant dependent random variables with infinite mean

In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random variables are established also.

Detalles Bibliográficos
Autores principales: Ma, Fuqiang, Li, Jianmin, Hou, Tiantian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5860150/
https://www.ncbi.nlm.nih.gov/pubmed/29576719
http://dx.doi.org/10.1186/s13660-018-1655-5
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author Ma, Fuqiang
Li, Jianmin
Hou, Tiantian
author_facet Ma, Fuqiang
Li, Jianmin
Hou, Tiantian
author_sort Ma, Fuqiang
collection PubMed
description In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random variables are established also.
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spelling pubmed-58601502018-03-22 Some limit theorems for weighted negative quadrant dependent random variables with infinite mean Ma, Fuqiang Li, Jianmin Hou, Tiantian J Inequal Appl Research In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random variables are established also. Springer International Publishing 2018-03-20 2018 /pmc/articles/PMC5860150/ /pubmed/29576719 http://dx.doi.org/10.1186/s13660-018-1655-5 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, Fuqiang
Li, Jianmin
Hou, Tiantian
Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
title Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
title_full Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
title_fullStr Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
title_full_unstemmed Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
title_short Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
title_sort some limit theorems for weighted negative quadrant dependent random variables with infinite mean
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5860150/
https://www.ncbi.nlm.nih.gov/pubmed/29576719
http://dx.doi.org/10.1186/s13660-018-1655-5
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