Asymptotic property for some series of probability

作者:He, Jian-jun*; Xie, Ting-fan
来源:Acta Mathematicae Applicatae Sinica-English Series, 2013, 29(1): 179-186.
DOI:10.1007/s10255-012-0138-6

摘要

Let {X,X (n) , n a parts per thousand yen 1 be a sequence of i.i.d.random variables with zero mean, and set . In this paper, we discuss the rate of the approximation of sigma (2) by E > (2) lambda(E >) under suitable conditions, and improve the corresponding results of Klesov (1994).