[Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text]

In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in [Formula: see text] , we establish results on [Formula: see text] -convergence and complete convergence of the maximums of partial sums are established. We also obtain weak la...

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Detalles Bibliográficos
Autor principal: Ko, Mi-Hwa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5940771/
https://www.ncbi.nlm.nih.gov/pubmed/29769789
http://dx.doi.org/10.1186/s13660-018-1699-6
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author Ko, Mi-Hwa
author_facet Ko, Mi-Hwa
author_sort Ko, Mi-Hwa
collection PubMed
description In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in [Formula: see text] , we establish results on [Formula: see text] -convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws of large numbers for coordinatewise asymptotically negatively associated random vectors with values in [Formula: see text] .
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spelling pubmed-59407712018-05-14 [Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text] Ko, Mi-Hwa J Inequal Appl Research In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in [Formula: see text] , we establish results on [Formula: see text] -convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws of large numbers for coordinatewise asymptotically negatively associated random vectors with values in [Formula: see text] . Springer International Publishing 2018-05-08 2018 /pmc/articles/PMC5940771/ /pubmed/29769789 http://dx.doi.org/10.1186/s13660-018-1699-6 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
Ko, Mi-Hwa
[Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text]
title [Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text]
title_full [Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text]
title_fullStr [Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text]
title_full_unstemmed [Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text]
title_short [Formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [Formula: see text]
title_sort [formula: see text] -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in [formula: see text]
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5940771/
https://www.ncbi.nlm.nih.gov/pubmed/29769789
http://dx.doi.org/10.1186/s13660-018-1699-6
work_keys_str_mv AT komihwa formulaseetextconvergencecompleteconvergenceandweaklawsoflargenumbersforasymptoticallynegativelyassociatedrandomvectorswithvaluesinformulaseetext

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