Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications

In this paper, we obtain the Hájek–Rényi inequality and, as an application, we study the strong law of large numbers for H-valued m-asymptotically almost negatively associated random vectors with mixing coefficients [Formula: see text] such that [Formula: see text] .

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/PMC5893727/
https://www.ncbi.nlm.nih.gov/pubmed/29670322
http://dx.doi.org/10.1186/s13660-018-1671-5
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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 obtain the Hájek–Rényi inequality and, as an application, we study the strong law of large numbers for H-valued m-asymptotically almost negatively associated random vectors with mixing coefficients [Formula: see text] such that [Formula: see text] .
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spelling pubmed-58937272018-04-16 Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications Ko, Mi-Hwa J Inequal Appl Research In this paper, we obtain the Hájek–Rényi inequality and, as an application, we study the strong law of large numbers for H-valued m-asymptotically almost negatively associated random vectors with mixing coefficients [Formula: see text] such that [Formula: see text] . Springer International Publishing 2018-04-10 2018 /pmc/articles/PMC5893727/ /pubmed/29670322 http://dx.doi.org/10.1186/s13660-018-1671-5 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
Ko, Mi-Hwa
Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications
title Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications
title_full Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications
title_fullStr Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications
title_full_unstemmed Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications
title_short Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications
title_sort hájek–rényi inequality for m-asymptotically almost negatively associated random vectors in hilbert space and applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5893727/
https://www.ncbi.nlm.nih.gov/pubmed/29670322
http://dx.doi.org/10.1186/s13660-018-1671-5
work_keys_str_mv AT komihwa hajekrenyiinequalityformasymptoticallyalmostnegativelyassociatedrandomvectorsinhilbertspaceandapplications

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