■-混合序列加权和的收敛性质

Convergence Properties of the Weighted Sums of -mixing Random Sequences

本文在■-混合序列下给出加权和重对数律、完全收敛和强收敛的一些充分条件,这些结论简化了[6],[7]中结论的条件,推广了[8]中定理6并改进了[9]中有关结论,同时给出了加权和的Bernstein不等式.

This paper establishes some sufficient conditions for the law of the iterated logarithm, the complete and almost sure convergence of the weighted sums of -mixing random sequences. These results improve the results of [6] and [7] , extend Theorem 6 of [8]. A Bernstein inequality for weighted sums is obtained.