两两NQD列的收敛性质

Convergence Properties of Pairwise NQD Random Sequences

本文首先给出两两 ＮＱＤ列的 Ｋｏｌｍｏｇｏｒｏｖ型不等式，进而讨论两两 ＮＱＤ列的收敛性质，获得了与独立情形一样的Ｂａｕｍ和Ｋａｔｚ完全收敛定理，几乎达到独立惰形著名的Ｍａｒｃｉｎｋｉｅｗｉｃｚ强大数定律、三级数定理等结果．

In this paper, we extend the Kolmogorov-type inequality to the case of pairwise NQD random sequences. Moreover, we study the convergence properties of pairwise NQD random sequences. As a result, we extend Baum and Katz complete convergence, the three series theorem, Marcinkiewicz strong law of large number to the case pairwise NQD of random sequences.