Convergence Properties for Asymptotically almost Negatively Associated Sequence

We get the strong law of large numbers, strong growth rate, and the integrability of supremum for the partial sums of asymptotically almost negatively associated sequence. In addition, the complete convergence for weighted sums of asymptotically almost negatively associated sequences is also studied...

Full description

Saved in:
Bibliographic Details
Main Authors: Xuejun Wang, Shuhe Hu, Wenzhi Yang
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/218380
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832545371189936128
author Xuejun Wang
Shuhe Hu
Wenzhi Yang
author_facet Xuejun Wang
Shuhe Hu
Wenzhi Yang
author_sort Xuejun Wang
collection DOAJ
description We get the strong law of large numbers, strong growth rate, and the integrability of supremum for the partial sums of asymptotically almost negatively associated sequence. In addition, the complete convergence for weighted sums of asymptotically almost negatively associated sequences is also studied.
format Article
id doaj-art-62f395e565e247fdb6417b85a988eb85
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-62f395e565e247fdb6417b85a988eb852025-02-03T07:25:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/218380218380Convergence Properties for Asymptotically almost Negatively Associated SequenceXuejun Wang0Shuhe Hu1Wenzhi Yang2School of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaWe get the strong law of large numbers, strong growth rate, and the integrability of supremum for the partial sums of asymptotically almost negatively associated sequence. In addition, the complete convergence for weighted sums of asymptotically almost negatively associated sequences is also studied.http://dx.doi.org/10.1155/2010/218380
spellingShingle Xuejun Wang
Shuhe Hu
Wenzhi Yang
Convergence Properties for Asymptotically almost Negatively Associated Sequence
Discrete Dynamics in Nature and Society
title Convergence Properties for Asymptotically almost Negatively Associated Sequence
title_full Convergence Properties for Asymptotically almost Negatively Associated Sequence
title_fullStr Convergence Properties for Asymptotically almost Negatively Associated Sequence
title_full_unstemmed Convergence Properties for Asymptotically almost Negatively Associated Sequence
title_short Convergence Properties for Asymptotically almost Negatively Associated Sequence
title_sort convergence properties for asymptotically almost negatively associated sequence
url http://dx.doi.org/10.1155/2010/218380
work_keys_str_mv AT xuejunwang convergencepropertiesforasymptoticallyalmostnegativelyassociatedsequence
AT shuhehu convergencepropertiesforasymptoticallyalmostnegativelyassociatedsequence
AT wenzhiyang convergencepropertiesforasymptoticallyalmostnegativelyassociatedsequence