Convergence properties of the partial sums for sequences of end random variables. (English) Zbl 1264.60023

Wu, Yongfeng; Guan, Mei

J. Korean Math. Soc. 49, No. 6, 1097-1110 (2012).

Summary: The convergence properties of extended negatively dependent sequences under conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the \(p\)-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich known results in the literature.

MSC:

60F15	Strong limit theorems
60F05	Central limit and other weak theorems

Keywords:

extended negative dependence random sequences; weak law of large numbers; \(p\)-mean convergence; complete convergence; uniform integrability