Moderate deviations and large deviations for a test of symmetry based on kernel density estimator

被引：0

作者：

He Xiaoxia ^{[1
,2
]}

Gao Fuqing ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430081, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2008年 / 28卷 / 03期

关键词：

symmetry test; kernel estimator; moderate deviations; large deviations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f(n) 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 is an element of R) vertical bar f(n)(x) - f(n) (-x)vertical bar.

引用

页码：665 / 674

页数：10

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