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 -convergence and complete convergence results of the maximum of the partial sum are derived, respectively.
"Limiting Behavior of the Maximum of the Partial Sum for Linearly Negative Quadrant Dependent Random Variables under Residual Cesàro Alpha-Integrability Assumption." J. Appl. Math. 2012 1 - 10, 2012. https://doi.org/10.1155/2012/735973