【摘要】 利用混合随机变量的Rosenthal型不等式,研究了混合随机变量阵列加权和的完全收敛性,在更广泛的条件下,获得了完全收敛性的一般性定理和由混合随机变量序列生成的移动平均过程的完全收敛性定理,这些定理推广和改进了已知一些文献中相应的结果.更多还原

【Abstract】 The complete convergence for weighted sums of arrays -mixing random variables is discussed under general conditions by utilizing the Rosenthal type inequality of -mixing random variables.General complete convergence theorems and convergence for moving average processes generated by sequences of -mixing random variables are obtained,which improve and extend the related known works in the literature.更多还原