Step-Stress Partially Accelerated Life Tests Model in Estimation of Inverse Weibull Parameters under Progressive Type-II Censoring

Authors

Ahmed A. Soliman, Faculty of Science, Islamic University, Madinah, KSAFollow
Essam A. Ahmed, Mathematics Department, Sohag University, Sohag 82524, Egypt.Follow
N. A. Abou-Elheggag, Mathematics Department, Sohag University, Sohag 82524, Egypt.Follow
Samah. M. Ahmed, Mathematics Department, Sohag University, Sohag 82524, Egypt.Follow

Author Country (or Countries)

KSA

Abstract

In this paper, inverse Weibull (IW) distribution with the step-stress model and progressive type-II censoring data are considered. The maximum likelihood and Bayesian estimation are discussed for the distribution parameters and the acceleration factor. The outline criteria in Bayesian approach are settled under utilized non-informative and gamma informative priors under balancedsquared error and balanced linear-exponential loss functions with the help of MCMC method. Finally, the numerical example and simulation study are constructed to assess the obtaining results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110514

Recommended Citation

A. Soliman, Ahmed; A. Ahmed, Essam; A. Abou-Elheggag, N.; and M. Ahmed, Samah. (2017) "Step-Stress Partially Accelerated Life Tests Model in Estimation of Inverse Weibull Parameters under Progressive Type-II Censoring," Applied Mathematics & Information Sciences: Vol. 11: Iss. 5, Article 14.
DOI: http://dx.doi.org/10.18576/amis/110514
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss5/14