The complete moment convergence for CNA random vectors in Hilbert spaces

In this paper we establish the complete moment convergence for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. The result extends the complete moment convergence in (Ko in J. Inequal. Appl. 2016:131, 2016) to Hilbert spaces as well as generalizes the Baum-Katz typ...

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Detalles Bibliográficos
Autor principal: Ko, Mi-Hwa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5698393/
https://www.ncbi.nlm.nih.gov/pubmed/29213197
http://dx.doi.org/10.1186/s13660-017-1566-x
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author Ko, Mi-Hwa
author_facet Ko, Mi-Hwa
author_sort Ko, Mi-Hwa
collection PubMed
description In this paper we establish the complete moment convergence for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. The result extends the complete moment convergence in (Ko in J. Inequal. Appl. 2016:131, 2016) to Hilbert spaces as well as generalizes the Baum-Katz type theorem in (Huan et al. in Acta Math. Hung. 144(1):132-149, 2014) to the complete moment convergence.
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spelling pubmed-56983932017-12-04 The complete moment convergence for CNA random vectors in Hilbert spaces Ko, Mi-Hwa J Inequal Appl Research In this paper we establish the complete moment convergence for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. The result extends the complete moment convergence in (Ko in J. Inequal. Appl. 2016:131, 2016) to Hilbert spaces as well as generalizes the Baum-Katz type theorem in (Huan et al. in Acta Math. Hung. 144(1):132-149, 2014) to the complete moment convergence. Springer International Publishing 2017-11-21 2017 /pmc/articles/PMC5698393/ /pubmed/29213197 http://dx.doi.org/10.1186/s13660-017-1566-x 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
Ko, Mi-Hwa
The complete moment convergence for CNA random vectors in Hilbert spaces
title The complete moment convergence for CNA random vectors in Hilbert spaces
title_full The complete moment convergence for CNA random vectors in Hilbert spaces
title_fullStr The complete moment convergence for CNA random vectors in Hilbert spaces
title_full_unstemmed The complete moment convergence for CNA random vectors in Hilbert spaces
title_short The complete moment convergence for CNA random vectors in Hilbert spaces
title_sort complete moment convergence for cna random vectors in hilbert spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5698393/
https://www.ncbi.nlm.nih.gov/pubmed/29213197
http://dx.doi.org/10.1186/s13660-017-1566-x
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