一定条件下PA序列部分和的完全收敛性

Complete Convergence for Sums of Positively Associated Sequences Within Certain Limits

根据PA序列的一些基本性质和定理,比照独立随机变量下的结论,对PA序列的完全收敛性作了初步的推导和论证,从而完善了相关结果.

In this paper, according to some basic characters and theories of positively associated sequences, and comparing to the case of independent sequences, we obtain a theory of almost sure convergence and complete convergence for sums of PA sequences within certain limits.