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Estimation in Degradation Models with Explanatory Variables
Authors:Bagdonavicius  Vilijandas  Nikulin  Mikhail S.
Affiliation:(1) Department of Statistics, Vilnius University, Lithuania;(2) University Victor Segalen Bordeaux 2, Bordeaux, 33076, France;(3) Steklov Mathematical Institute, 27 Fontanka, 191011 Saint Petersburg, Russia
Abstract:Influence of covariates on degradationis modelled. Models which include dependence of the intensityof the process of traumatic events on the degradation level arealso discussed. Estimation of reliability and degradation characteristicsfrom data with covariates is considered in dynamic environments.
Keywords:covariate  degradation process  gamma-process  maximum likelihood estimator  nonparametric model  parametric model  Poisson process  survival function  traumatic event  tire wear
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