Inferences from Ailamujia Distribution based on Progressive Type-II Censored Data

Authors

Mohamad A. Fawzy, Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, Kingdom of Saudi Arabia\\ Math Dept., Faculty of Science, Suez University, Suez, Egypt
Haseeb Athar

Author Country (or Countries)

Egypt

Abstract

In this paper, the parameters of Ailamujia distribution are estimated under partially accelerated life test (PALT). The maximum likelihood and Bayesian methods are used. The Bayes estimates of the parameters under squared error (SE) loss functions and linear exponential (LINEX) loss function by using Markov Chain Monte Carlo (MCMC) methods are obtained. Further, the explicit expression for moments and recurrence relations between moments of progressive Type-II censored data are also obtained. Finally, simulation study is carried out to compare the different methods of estimation.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/090305

Recommended Citation

A. Fawzy, Mohamad and Athar, Haseeb (2020) "Inferences from Ailamujia Distribution based on Progressive Type-II Censored Data," Journal of Statistics Applications & Probability: Vol. 9: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/jsap/090305
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol9/iss3/5