Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in thi...

Descripción completa

Detalles Bibliográficos
Autores principales: Wu, Yongfeng, Song, Mingzhu, Wang, Chunhua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3932999/
https://www.ncbi.nlm.nih.gov/pubmed/24683345
http://dx.doi.org/10.1155/2014/478612
_version_ 1782304856789221376
author Wu, Yongfeng
Song, Mingzhu
Wang, Chunhua
author_facet Wu, Yongfeng
Song, Mingzhu
Wang, Chunhua
author_sort Wu, Yongfeng
collection PubMed
description The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).
format Online
Article
Text
id pubmed-3932999
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-39329992014-03-30 Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables Wu, Yongfeng Song, Mingzhu Wang, Chunhua ScientificWorldJournal Research Article The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997). Hindawi Publishing Corporation 2014-02-05 /pmc/articles/PMC3932999/ /pubmed/24683345 http://dx.doi.org/10.1155/2014/478612 Text en Copyright © 2014 Yongfeng Wu et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wu, Yongfeng
Song, Mingzhu
Wang, Chunhua
Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_full Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_fullStr Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_full_unstemmed Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_short Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
title_sort complete moment convergence and mean convergence for arrays of rowwise extended negatively dependent random variables
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3932999/
https://www.ncbi.nlm.nih.gov/pubmed/24683345
http://dx.doi.org/10.1155/2014/478612
work_keys_str_mv AT wuyongfeng completemomentconvergenceandmeanconvergenceforarraysofrowwiseextendednegativelydependentrandomvariables
AT songmingzhu completemomentconvergenceandmeanconvergenceforarraysofrowwiseextendednegativelydependentrandomvariables
AT wangchunhua completemomentconvergenceandmeanconvergenceforarraysofrowwiseextendednegativelydependentrandomvariables

Ejemplares similares