摘要
将独立同分布情形下的强大数定律进行了推广,指出一般随机变量序列若满足∑∞n=1B2n/n<∞,则服从强大数定律。所给出随机变量序列强大数定律存在条件较易满足,使得定理适用范围更广。并在两两不相关且一致有界的条件下,指出对任意的α>3/4,均有(Sn-ESn)/nα几乎处处收敛于0。
The strong law of large numbers for the random variable sequences, which are not necessarily independent and identically distributed, is investigated in this paper. We propose that the generalized random variable sequences satisfying the condition ∞∑n=1B^n2/n〈∞ follows the strong law of large numbers. Since the given condition is easy to be satisfied, the theorem can be applied more widely. Under the conditions of irrelevance and uniform bounded we strengthen the conclusion, and put forward that （Sn- ESn）/n^a almost surely convergent to 0 for every 3/4.
出处
《太原理工大学学报》
CAS
北大核心
2006年第4期495-497,共3页
Journal of Taiyuan University of Technology
关键词
随机变量
强大数定律
几乎处处收敛
random variable sequences strong law of large numbers almost surely convergent
