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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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Published in: | Applied mathematical modelling 2015-08, Vol.39 (16), p.4630-4645 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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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. |
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ISSN: | 0307-904X |
DOI: | 10.1016/j.apm.2015.03.063 |