MODERATE DEVIATIONS AND LARGEDE VIATIONS FOR A TEST OF SYMMETRY BASED ON KERNEL DENSITY ESTIMATOR

被引：0

作者：

何晓霞 ^{[1
]}

高付清 ^{[1
]}

机构：

[1] School of Mathematics and Statistics, Wuhan University

来源：

Acta Mathematica Scientia | 2008年 / 03期

基金：

中国国家自然科学基金;

关键词：

Symmetry test; kernel estimator; moderate deviations; large deviations;

D O I：

暂无

中图分类号：

O212 [数理统计];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let fn be a non-parametric kernel density estimator based on a kernel function K. and a sequence of independent and identically distributed random variables taking values in R. The goal of this article is to prove moderate deviations and large deviations for the statistic sup x∈R |fn(x) - fn(-x)|.

引用

页码：665 / 674

页数：10

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