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LSE method using the CHSS model

Type
Articles dans des revues avec comité de lecture
Author
LANTIERI, Pascal
206863 Laboratoire des Arts et Métiers ParisTech d'Angers - Procédés Matériaux Durabilité [LAMPA - PMD]
GUERIN, Fabrice
74911 Université d'Angers [UA]
VOICULESCU, Sorin
74911 Université d'Angers [UA]

URI
http://hdl.handle.net/10985/7479
DOI
10.1016/j.jspi.2008.05.031
Date
2009
Journal
Journal of Statistical Planning and Inference

Abstract

Testing the reliability at a nominal stress level may lead to extensive test time. Estimations of reliability parameters can be obtained faster thanks to step-stress accelerated life tests (ALT). Usually, a transfer functional defined among a given class of parametric functions is required, but Bagdonavičius and Nikulin showed that ALT tests are still possible without any assumption about this functional. When shape and scale parameters of the lifetime distribution change with the stress level, they suggested an ALT method using a model called CHanging Shape and Scale (CHSS). They estimated the lifetime parameters at the nominal stress with maximum likelihood estimation (MLE). However, this method usually requires an initialization of lifetime parameters, which may be difficult when no similar product has been tested before. This paper aims to face this issue by using an iterating least square estimation (LSE) method. It will enable one to initialize the optimization required to carry out the MLE and it will give estimations that can sometimes be better than those given by MLE.

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