Total error in a plug-in estimator of level sets

被引:31
作者
Baíllo, A [1 ]
机构
[1] Univ Carlos III Madrid, Dept Estadist & Econometria, E-28903 Getafe, Madrid, Spain
关键词
empirical process theory; Kernel density estimates; level set estimation; rates of convergence;
D O I
10.1016/j.spl.2003.08.007
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Given a density f, the minimum volume set of probability a can be estimated by the corresponding minimum volume set of a kernel estimator. We obtain convergence rates for this set estimator with respect to a measure-based distance. (C) 2003 Elsevier B.V.. All rights reserved.
引用
收藏
页码:411 / 417
页数:7
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