本文研究了不同分布φ混合随机变量序列的强收敛性质的问题.利用φ混合随机变量序列的矩不等式和截尾的方法,获得了φ混合随机变量序列完全收敛性和几乎处处收敛性结果,所获得结果不仅推广了Baum和Katz(1965)关于独立同分布随机变量序列的结论,而且改进了Wu和Lin(2004)关于同分布混合随机变量序列的相关结论.
In this article, we study the strong convergence properties of φ-mixing sequences of non-identically distributed random variables. By using the truncated method and the moment inequality of φ-mixing random variables, we obtain the complete convergence and almost sure convergence of φ-mixing sequences of random variables, which not only generalize and extend the corresponding results of Baum and Katz (1965) for independent and identically distributed random variables, but also improve the results of Wu and Lin (2004) for identically distributed φ-mixing sequences of random variables.