【摘要】 利用任意随机变量序列的强大数定律讨论 * -mixing随机变量序列的强大数定律 ,得到了该序列的一个强极限定理 ,推广了经典的 * mixing随机变量序列的强大数定律 .同时讨论了 m相依序列和独立随机变量序列的强大数定律 .更多还原

【Abstract】 In this paper, by the strong laws of large numbers for the sequences of arbitrary random variables, we discuss the strong laws of large numbers for the *-mixing sequences. A strong limit theorem for the *-mixing sequences is obtained. Several classical strong laws for the *-mixing sequences are the particular of the result of this paper. And, the strong laws of large numbers for the sequences of m-dependent and independent random variables are obtained.更多还原