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

[摘要] Linearly negative quadrant dependence is a special dependence structure. By relating such conditionsto residual Cesàro alpha-integrability assumption, as well as to strongly residual Cesàroalpha-integrability assumption, someLp-convergence and complete convergence results of the maximum of the partial sum are derived, respectively.

[学科分类] 应用数学