Complete Moment Convergence for Negatively Dependent Sequences of Random Variables

Complete Moment Convergence for Negatively Dependent Sequences of Random Variables

We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0,  Eexp⁡|X|α<∞,  0<α<1, and Eexp⁡|X|ln-r⁡|X|<∞,  r>0. As a result, we establish the new complete moment convergence theorems.

Bibliographic Details
Main Authors: Qunying Wu, Yuanying Jiang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/9039345
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spelling doaj-67f177048bc44928b669b6682c4f3b252020-11-25T00:51:33ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/90393459039345Complete Moment Convergence for Negatively Dependent Sequences of Random VariablesQunying Wu0Yuanying Jiang1College of Science, Guilin University of Technology, Guilin 541004, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, ChinaWe study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0,  Eexp⁡|X|α<∞,  0<α<1, and Eexp⁡|X|ln-r⁡|X|<∞,  r>0. As a result, we establish the new complete moment convergence theorems.http://dx.doi.org/10.1155/2016/9039345
collection DOAJ
language English
format Article
sources DOAJ
author Qunying Wu
Yuanying Jiang
spellingShingle Qunying Wu
Yuanying Jiang
Complete Moment Convergence for Negatively Dependent Sequences of Random Variables
Discrete Dynamics in Nature and Society
author_facet Qunying Wu
Yuanying Jiang
author_sort Qunying Wu
title Complete Moment Convergence for Negatively Dependent Sequences of Random Variables
title_short Complete Moment Convergence for Negatively Dependent Sequences of Random Variables
title_full Complete Moment Convergence for Negatively Dependent Sequences of Random Variables
title_fullStr Complete Moment Convergence for Negatively Dependent Sequences of Random Variables
title_full_unstemmed Complete Moment Convergence for Negatively Dependent Sequences of Random Variables
title_sort complete moment convergence for negatively dependent sequences of random variables
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2016-01-01
description We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0,  Eexp⁡|X|α<∞,  0<α<1, and Eexp⁡|X|ln-r⁡|X|<∞,  r>0. As a result, we establish the new complete moment convergence theorems.
url http://dx.doi.org/10.1155/2016/9039345
work_keys_str_mv AT qunyingwu completemomentconvergencefornegativelydependentsequencesofrandomvariables
AT yuanyingjiang completemomentconvergencefornegativelydependentsequencesofrandomvariables
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