Lifetime Data

M. Luz Gámiz (), K. B. Kulasekera (), Nikolaos Limnios () and Bo Henry Lindqvist ()
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M. Luz Gámiz: Universidad Granada
K. B. Kulasekera: Clemson University
Nikolaos Limnios: Université de Technologie de Compiègne
Bo Henry Lindqvist: Norwegian University of Science and Technology

Chapter Chapter 1 in Applied Nonparametric Statistics in Reliability, 2011, pp 3-29 from Springer

Abstract: Abstract We study the smoothing of the classical Kaplan–Meier estimator for the survival function and the Nelson–Aalen estimator for the cumulative hazard function for a lifetime random variable discussing the practical and theoretical advantages of resulting estimators. We then extend our work to smoothing techniques such as kernel smoothing, local linear method, spline method, etc. for the estimation of failure rate functions in the presence of censoring. This is then followed by an introduction to smoothing parameter (bandwidth) selection. A few examples are presented to illustrate the use of some techniques.

Keywords: Hazard Rate; Kernel Estimator; Empirical Distribution Function; Hazard Rate Function; Cumulative Hazard Function (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-0-85729-118-9_1

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DOI: 10.1007/978-0-85729-118-9_1

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