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

Anurag Pathak, Manoj Kumar (), Sanjay Kumar Singh, Umesh Singh, Manoj Kumar Tiwari and Sandeep Kumar
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Anurag Pathak: Central University of Haryana
Manoj Kumar: Central University of Haryana
Sanjay Kumar Singh: Banaras Hindu University
Umesh Singh: Banaras Hindu University
Manoj Kumar Tiwari: Punjab University
Sandeep Kumar: Central University of Haryana

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 4, No 33, 1976-2010

Abstract: Abstract 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.

Keywords: Step-stress partially accelerated life test; MLEs; Bayesian inference; Progressive type-II censoring with binomial removals; Loss functions (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13198-021-01612-y

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