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ACCELERATED LIFE TESTS WITH ONE STRESS VARIABLE: A BAYESIAN ANALYSIS OF THE EYRING MODEL
Jorge Alberto Achcar and Francisco Louzada Neto
Brazilian Journal of Probability and Statistics
Vol. 5, No. 2 (NOVEMBER 1991), pp. 169-179
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/43601438
Page Count: 11
You can always find the topics here!Topics: Stress tests, Bayesian analysis, Modeling, Psychological stress, Approximation, Maximum likelihood estimators, Quality assurance, Confidence interval, Laplaces method, Stress distribution
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In this paper, we consider accelerated life tests with an exponential distribution and an Eyring model with ohe stress variable. Assuming type II censored data and Jeffreys priors for the parameters of the model, we develop a Bayesian analysis using Laplace's method for approximation of integrals when we cannot find analytically explicit solutions for the marginal posterior densities of interest. We also find the predictive density for a future observation in a specified stress level, and use this predictive density to develop quality control tests.
Brazilian Journal of Probability and Statistics © 1991 Brazilian Statistical Association