自正则化和矩的精确渐近性

Moment precise asymptotic of Serf-normalized partial sums

设{X，Xn；n≥1}为一列独立同分布零均值的随机变量序列。令Sn=∑i=1^n Xi, V^2 n=∑i=1 ^n X^2i，本文给出了自正则化和Sn/Vn的矩形式的精确渐近性。

Consider an i.i.d, random sequence {X,Xn;n≥1} with mean 0, and set Sn=∑i=1^n Xi, V^2 n=∑i=1 ^n X^2i The moment precise asymptotic for Self-normalized partial sums Sn/Vn is established.