Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption

Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption

Linearly negative quadrant dependence is a special dependence structure. By relating such conditions to residual Cesàro alpha-integrability assumption, as well as to strongly residual Cesàro alpha-integrability assumption, some Lp-convergence and complete convergence results of the maximum of the pa...

Full description

Bibliographic Details
Main Authors: Jiangfeng Wang, Qunying Wu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/735973
id doaj-112d3e1a3bc14a268208a5890908daff
record_format Article
spelling doaj-112d3e1a3bc14a268208a5890908daff2020-11-24T23:17:55ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/735973735973Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability AssumptionJiangfeng Wang0Qunying Wu1College of Science, Guilin University of Technology, Guilin 541004, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, ChinaLinearly negative quadrant dependence is a special dependence structure. By relating such conditions to residual Cesàro alpha-integrability assumption, as well as to strongly residual Cesàro alpha-integrability assumption, some Lp-convergence and complete convergence results of the maximum of the partial sum are derived, respectively.http://dx.doi.org/10.1155/2012/735973
collection DOAJ
language English
format Article
sources DOAJ
author Jiangfeng Wang
Qunying Wu
spellingShingle Jiangfeng Wang
Qunying Wu
Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption
Journal of Applied Mathematics
author_facet Jiangfeng Wang
Qunying Wu
author_sort Jiangfeng Wang
title Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption
title_short Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption
title_full Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption
title_fullStr Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption
title_full_unstemmed Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption
title_sort limiting behavior of the maximum of the partial sum for linearly negative quadrant dependent random variables under residual cesàro alpha-integrability assumption
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description Linearly negative quadrant dependence is a special dependence structure. By relating such conditions to residual Cesàro alpha-integrability assumption, as well as to strongly residual Cesàro alpha-integrability assumption, some Lp-convergence and complete convergence results of the maximum of the partial sum are derived, respectively.
url http://dx.doi.org/10.1155/2012/735973
work_keys_str_mv AT jiangfengwang limitingbehaviorofthemaximumofthepartialsumforlinearlynegativequadrantdependentrandomvariablesunderresidualcesaroalphaintegrabilityassumption
AT qunyingwu limitingbehaviorofthemaximumofthepartialsumforlinearlynegativequadrantdependentrandomvariablesunderresidualcesaroalphaintegrabilityassumption
_version_ 1725582624025477120

Similar Items