本文研究了不同分布φ混合随机变量加权和的完全收敛性问题.利用随机变量截尾和矩不等式方法,获得了事混合随机变量加权和的完全收敛性和强大数定律的结果,所获得结果推广和改进了有关独立同分布随机变量序列的相应结果.
In this article, we study the complete convergence for weighted sums of φ-mixing random variables without assumptions of identical distribution. By using the truncated method and the moment inequality of random variables, we obtain the complete convergence and strong law of large numbers for weighted sums of φ-mixing random variables, which generalize and extend the corresponding results for independent and identically distributed random variables.