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Local linear smoothing to estimate accelerated lifetime model with censoring and truncation

A nonparametric accelerated failure time (AFT) model is considered to evaluate the dependability measures of a water supply system laid in a city of the Mediterranean Sea. To do it, a set of breakdown data of sections of pipe of the system is available. Unlike the usual methods that assume a paramet...

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Bibliographic Details
Published in:Applied mathematical modelling 2015-08, Vol.39 (16), p.4630-4645
Main Authors: López-Montoya, Antonio Jesús, Gámiz-Pérez, María Luz, Martínez-Miranda, María Dolores
Format: Article
Language:English
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Summary:A nonparametric accelerated failure time (AFT) model is considered to evaluate the dependability measures of a water supply system laid in a city of the Mediterranean Sea. To do it, a set of breakdown data of sections of pipe of the system is available. Unlike the usual methods that assume a parametric family for the underlying lifetime, we propose an AFT model with an unspecified distribution for the underlying lifetime. To carry out the model fitting we suggest a two-stage procedure. Firstly, we estimate the influence of certain factors over the lifetime of the system. Secondly, we propose modern and flexible statistical tools based on counting processes to construct a smooth estimate the reliability measure of a specific system. We prove the good asymptotic properties of the estimator.
ISSN:0307-904X
DOI:10.1016/j.apm.2015.03.063