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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/735973 |
Summary: | 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. |
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ISSN: | 1110-757X 1687-0042 |