不同分布ρ~*-混合序列的完全收敛性

The Complete Convergence for ρ~*-mixing Sequences with Non-indentical Distributions

本文通过讨论随机变量矩的存在性和随机变量序列尾概率级数收敛性之间的关系,在一定的混合速度下,给出了ρ-混合序列部分和更为一般的完全收敛性.

In this paper, we obtain complete convergences for ρ^＊-mixing sequences with non-indentical distributions. The result obtained generalizes a theorem of complete convergence for independent sequences with non-indentical distributions to ρ^＊-mixing sequences. The equavilent relationship between rates of complete convergence and moment condition is also established.