Parameter Estimation for the Generalized Linear Exponential Distribution Based on Progressively Type-Π Hybrid Censored Data

Authors

M. A. W. Mahmoud, Department of Mathematics, Faculty of Science Al-Azhar University Naser City (11884), Cairo, EgyptFollow
N. M. Yhiea, Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, EgyptFollow
SH. M. EL-SAID, Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

Estimations of the unknown parameters of the generalized linear exponential distribution (GLED) using type-Π progressive hybrid censored (HC) data are obtained. The maximum likelihood estimation (MLE) and Bayes estimation for all parameters and some lifetime functions (reliability, hazard function and reversed hazard function) are obtained. Also, we apply Markov chain Monte Carlo (MCMC) technique and Lindely’s approximation technique to carry out a Bayesian estimation. Under the assumptions of informative and non-informative priors, estimates of Bayes and credible intervals are obtained. Different methods have been compared using Mont Carlo simulations. Real data set has been investigated for illustrative purpose.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140521

Recommended Citation

A. W. Mahmoud, M.; M. Yhiea, N.; and M. EL-SAID, SH. (2020) "Parameter Estimation for the Generalized Linear Exponential Distribution Based on Progressively Type-Π Hybrid Censored Data," Applied Mathematics & Information Sciences: Vol. 14: Iss. 5, Article 21.
DOI: http://dx.doi.org/10.18576/amis/140521
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss5/21