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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/5537

Title: Hazard rate estimation in nonparametric regression with censored data
Authors: VAN KEILEGOM, Ingrid
Issue Date: 2001
Publisher: KLUWER
Citation: Annals of the Institute of Statistical Mathematics, 53. p. 730-745
Abstract: Consider a regression model in which the responses are subject to random right censoring. In this model, Beran studied the nonparametric estimation of the conditional cumulative hazard function and the corresponding cumulative distribution function. The main idea is to use smoothing in the covariates. Here we study asymptotic properties of the corresponding hazard function estimator obtained by convolution smoothing of Beran's cumulative hazard estimator. We establish asymptotic expressions for the bias and the variance of the estimator, which together with an asymptotic representation lead to a weak convergence result. Also, the uniform strong consistency of the estimator is obtained.
URI: http://hdl.handle.net/1942/5537
DOI: 10.1023/A:1014696717644
ISI #: 000173369300005
ISSN: 0020-3157
Category: A1
Type: Journal Contribution
Validation: ecoom, 2003
Appears in Collections: Research publications

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