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On a Generalized Model in Accelerated Life Testing
Department of Epidemiology and Biostatistics, University of the Philippines, Manila, Philippines
School of Statistics, University of the Philippines, Quezon City, Philippines
- 1 Department of Epidemiology and Biostatistics, University of the Philippines, Manila, Philippines
- 2 School of Statistics, University of the Philippines, Quezon City, Philippines
Open Journal of Statistics·Volume 02 (2012)·Pages 184–187·Published 23 April 2012·DOI10.4236/ojs.2012.22021
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Abstract
The main objective of accelerated life tests in this setting is the recovery of the distribution of the random variable representing lifetime which is difficult to observe at a certain level of a given stress factor. A general model for accelerated life test is proposed that utilizes the inverse problem approach, that is, the variable is observe at different level/s and the transfer function is used to recover the elusive random variable (life time). The problem then is reduced to finding the transfer function. We derive some properties of the proposed general model. The Lognormal distribution and the Arrhenius model for lifetime are used as examples. Its relationship with the Cox proportional hazards model is also discussed.
KeywordsAccelerated Life TestArrhenius ModelInverse Problem
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