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

Jiangfeng Wang and Qunying Wu

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/735973

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:735973

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