Local linear smoothing to estimate accelerated lifetime model with censoring and truncation
López-Montoya, A.J., Gámiz-Pérez, M.L. & Martinez-Miranda, M. D. (2015). Local linear smoothing to estimate accelerated lifetime model with censoring and truncation. Applied Mathematical Modelling, 39(16), pp. 4630-4645. doi: 10.1016/j.apm.2015.03.063
Abstract
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.
| Publication Type: | Article |
|---|---|
| Publisher Keywords: | Semi-parametric; Nonparametric; Survival function; Local linear; Water supply system; Bootstrap |
| Subjects: | H Social Sciences > HA Statistics |
| Departments: | Bayes Business School > Actuarial Science & Insurance |
| SWORD Depositor: |
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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