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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/735973 |
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| _version_ | 1832555904515440640 |
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| author | Jiangfeng Wang Qunying Wu |
| author_facet | Jiangfeng Wang Qunying Wu |
| author_sort | Jiangfeng Wang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-112d3e1a3bc14a268208a5890908daff |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-112d3e1a3bc14a268208a5890908daff2025-02-03T05:46:46ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 cesaro alpha integrability assumption |
| url | http://dx.doi.org/10.1155/2012/735973 |
| work_keys_str_mv | AT jiangfengwang limitingbehaviorofthemaximumofthepartialsumforlinearlynegativequadrantdependentrandomvariablesunderresidualcesaroalphaintegrabilityassumption AT qunyingwu limitingbehaviorofthemaximumofthepartialsumforlinearlynegativequadrantdependentrandomvariablesunderresidualcesaroalphaintegrabilityassumption |