Statistical Inferences of Reduced Modified Weibull Distribution under Progressive Type-II Censoring Data

Authors

Saad J. Almalki, Mathematics Department, Faculty of Science Taif University, P. o. Box 11099 Taif 21944, Saudi ArabiaFollow
Gamal. A. Abd-Elmougod, Mathematics Department, Faculty of Science, Damanhour University, Damanhour, EgyptFollow
Maie J. Al-Malki, Mathematics Department, Faculty of Science Taif University, P. o. Box 11099 Taif 21944, Saudi ArabiaFollow

Abstract

In reliability engineering and lifetime analysis many applications required a bathtub shaped or increasing hazard rate function. In this paper, we considered a reduced form of the new modified Weibull (NMW) distribution when the data are presented in the form of progressive type-II censoring data. The parameter estimators under maximum likelihood estimation (MLE) for point and approximate confidence interval are presented. Also, Bayesian approach under simulate posterior distribution with the help of MCMC the method is adopted. The developed results discussed with data analysis and assessed with Moto Carlo simulation study.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110219

Recommended Citation

J. Almalki, Saad; A. Abd-Elmougod, Gamal.; and J. Al-Malki, Maie (2022) "Statistical Inferences of Reduced Modified Weibull Distribution under Progressive Type-II Censoring Data," Journal of Statistics Applications & Probability: Vol. 11: Iss. 2, Article 19.
DOI: http://dx.doi.org/10.18576/jsap/110219
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss2/19