文章基本信息

标题：The k nearest neighbors estimation of the conditional hazard function for functional data
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作者：Mohammed Kadi Attouch ; Fatima Zohra Belabed.
期刊名称：RevStat : Statistical Journal
印刷版ISSN：1645-6726
出版年度：2014
卷号：12
期号：3
页码：273-297
出版社：Instituto Nacional de Estatística
摘要：In this pap er, we study the nonparametric estimator of the conditional hazard func- tion using the k nearest neighbors (k-NN) estimation method for a scalar response variable given a random variable taking values in a semi-metric space. We give the almost complete convergence (its corresponding rate) of this estimator and we estab- lish the asymptotic normality. Then the e.ectiveness of this metho d is exhibited by a comparison with the kernel method estimation given in Ferraty et al. ([12]) and Laksaci and Mechab ([15]) in both cases simulated data and real data.
关键词：functional data; nonparametric regression; k-NN estimator; the conditional hazard ; function; rate of convergence; random bandwidth; asymptotic normality