We establish the Berry-Esseen bound O(n-δ#2) for a studentized U-statistic under the assumption of existence of the (2 ......

The past two decades have witnessed the active development of a rich probability theory of Studentized statistics or sel......

An inequality describing the difference between Gamma and Gaussian distributions is derived. The asymptotic bound is muc......

This paper is to investigate the convergence rate of asymptotic normality of frequency polygon estimation for density fu......

设K维随机向量X的分布P与K维标准正态分布N有相同的直到三阶的矩,则X的i.i.d样本均值的分布P_n在一定条件下满足:对一切......

<正> 设{X_n}是独立同分布随机变量序列,共同的分布函数为F(x)。φ(x,y)是二元对...