Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space

In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as well as co...

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Detalles Bibliográficos
Autores principales: Huang, Xiang, Wu, Yongfeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5899133/
https://www.ncbi.nlm.nih.gov/pubmed/29674840
http://dx.doi.org/10.1186/s13660-018-1678-y
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author Huang, Xiang
Wu, Yongfeng
author_facet Huang, Xiang
Wu, Yongfeng
author_sort Huang, Xiang
collection PubMed
description In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as well as correct and improve the corresponding one of Ko (J. Inequal. Appl. 2017:290, 2017).
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spelling pubmed-58991332018-04-17 Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space Huang, Xiang Wu, Yongfeng J Inequal Appl Research In this work, some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert spaces. The results obtained in this paper improve and extend the corresponding ones of Huan et al. (Acta Math. Hung. 144(1):132–149, 2014) as well as correct and improve the corresponding one of Ko (J. Inequal. Appl. 2017:290, 2017). Springer International Publishing 2018-04-13 2018 /pmc/articles/PMC5899133/ /pubmed/29674840 http://dx.doi.org/10.1186/s13660-018-1678-y 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
Huang, Xiang
Wu, Yongfeng
Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
title Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
title_full Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
title_fullStr Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
title_full_unstemmed Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
title_short Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
title_sort strong convergence theorems for coordinatewise negatively associated random vectors in hilbert space
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5899133/
https://www.ncbi.nlm.nih.gov/pubmed/29674840
http://dx.doi.org/10.1186/s13660-018-1678-y
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