QA370 : Weibull geometric process model for the analysis of accelerated life testing
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2016
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Abstarct: In reliability analysis, accelerated life testing is the most common way to assess a product’s life. Under such test settings, products are tested at higher than usual levels of stress to induce early failure. The goal of accelerated life analysis is to utilize the test data to extrapolate a product’s life distribution and its associated parameters at a normal stress level.
The current study introduces the geometric process model for the analysis of accelerated life testing with an weibull life distribution under constant stress. By assuming that the lifetime under increasing stress levels forms a geometric process, we derive the maximum likelihood estimators of the weibull parameter under three different censoring schemes: no censoring, Type I and Type II censoring. For each censoring type, we also derive confidence intervals for the parameters using both asymptotic distribution and the parametric bootstrap method. The performance of the estimators is evaluated by a simulation study with different pre-fixed parameters.
Keywords:
#Life testing #accelerated #Constant stress #reliability #Type I censored #Type II censored #Asymptotic distribution #parametric bootstrap
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: