泛函型统计量的Bootstrap与随机加权法  

THE BOOTSTRAP AND RANDOM WEIGHT METHOD OF STATISTICAL FUNCTIONALS

作　　者：吴建荣[1] 

机构地区：[1]苏州大学数学系

出　　处：《苏州大学学报（自然科学版）》1992年第3期249-254,共6页Journal of Soochow University(Natural Science Edition)

摘　　要：本文基于Frechet可微型泛函统计量的Jackknife虚拟值,建立了Jackknife统计量的Bootstrap与随机加权法,证明了Bootstrap与随机加权统计量的条件分布与正态分布O(1/n^(1/2))的逼近精度。On the basis of the jackknifing pesudovariables of Frechet differentiable statistical functionals, the bootstrap and random weight method has been established for the jackknifing statistics. The covergence rates O(1/n^(1/2))of the boostrap and random weight approximation of the normal distribution are obtained. The results are applied to the trimmed L-statistics

关 键 词：BOOTSTRAP 随机加权法 L一统计量 

分 类 号：O212.1[理学—概率论与数理统计]