Inequalities and bounds for kernel length-biased density estimation

被引：1
|
作者：
Oluyede, BO [1 ]
机构：
[1] Georgia So Univ, Dept Math & Comp Sci, Statesboro, GA 30460 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 135卷 / 2-3期
关键词：
stochastic inequalities; L-1 density estimation; random censoring; stochastic convergence;
D O I：
10.1016/S0096-3003(02)00067-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note non-parametric estimates of the length-biased probability density function and related reliability measures are presented. Non-parametric estimates are also presented under random censoring. Inequalities and bounds for the error of kernel estimators used for the estimation of length-biased probability densities are obtained. Non-asymptotic bounds and stochastic convergence results are e established. Inference for length-biased energy functions is developed and implemented. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：541 / 551
页数：11
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