本文研究φ混合随机变量最大值加权和的强收敛性质.提出关于不同分布φ混合随机变量完全收敛的一些结果.作为一个应用,取得φ混合随机变量加权和的Marcinkiewicz-Zygmund型强大数定律.
In this article, the strong convergence properties for maximal weighted sums of φ-mixing random variables are studied. Some results on the complete convergence for φ -mixing random variahies are presented without assumption of identical distribution. As an application, the Marcinkiewicz- Zygmund type strong law of large numbers for weighted sums of φ-mixing random variables is ob- tained.