Constant-Partially Accelerated Life Tests for Three- Parameter Distribution: Bayes Inference using Progressive Type-II Censoring

Authors

M. A. W. Mahmoud, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr city 11884, Cairo, EgyptFollow
M. G. M. Ghazal, Mathematics Department, Faculty of Science, Minia University, Minia 61519, Egypt\\ Mathematics Department, University of Technology and Applied Sciences-Al Rustaq, 329-Rustaq, Sultanate of OmanFollow
H. M. M. Radwan, Mathematics Department, Faculty of Science, Minia University, Minia 61519, EgyptFollow

Abstract

This article explores accelerated life test from constant-stress test based on progressive type-II censoring. We consider that the lifetime of items under use condition follows the three-parameter inverted generalized linear exponential distribution. To estimate the distribution parameters and the acceleration factor, we employ the maximum likelihood method. The Gibbs sampler with the Metropolis-Hastings algorithm is applied to generate the Markov chain Monte Carlo samples from the posterior functions to approximate the Bayes estimation using several loss functions and to establish the symmetric credible interval for the parameters and the acceleration factor. A real data and simulated data are analyzed for more illustration. A simulation study is presented to compare the obtained estimates based on mean square error and average absolute bias.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110102

Recommended Citation

A. W. Mahmoud, M.; G. M. Ghazal, M.; and M. M. Radwan, H. (2022) "Constant-Partially Accelerated Life Tests for Three- Parameter Distribution: Bayes Inference using Progressive Type-II Censoring," Journal of Statistics Applications & Probability: Vol. 11: Iss. 1, Article 2.
DOI: http://dx.doi.org/10.18576/jsap/110102
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss1/2