Bayesian inference for Maxwell Boltzmann distribution on step-stress partially accelerated life test under progressive type-II censoring with binomial removals

This article deals with the estimation problem in step-stress partially accelerated life test of Maxwell Boltzmann distribution in presence of progressive type-II censoring with binomial removals. The maximum likelihood and Bayes estimators of the parameter are obtained under symmetric and asymmetric loss functions. Furthermore, the performances of the obtained estimators are compared in terms of risks. The proposed methodology is illustrated through the time to failure (in days) of Aluminium reduction cells and survival times (in weeks) for male rats that were exposed to a high level of radiation.

Automated summary

This article addresses the estimation problem in step-stress partially accelerated life test of Maxwell Boltzmann distribution, considering progressive type-II censoring with binomial removals. The maximum likelihood and Bayes estimators of the parameter are derived under symmetric and asymmetric loss functions. Furthermore, the performance of these estimators is compared based on risks. The proposed methodology is illustrated using the time to failure of Aluminium reduction cells and survival times of male rats exposed to high radiation levels in weeks.