Bayesian Inference for The Inverse Exponential Distribution Based on Pooled Type-II Censored Samples

Authors

Yahia Abdel-Aty, Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
Ahmed Shafay
Marwa M. Mohie El-Din
M. Nagy

Author Country (or Countries)

Egypt

Abstract

In this paper, the maximum likelihood and Bayesian estimation are developed based on pooled sample of two independent Type-II censored samples from the inverse exponential distribution. The Bayesian estimation is discussed using different loss functions. The problem of predicting the failure times from a future sample from the sample population is also discussed from a Bayesian viewpoint. A Monte Carlo simulation study is conducted to compare the maximum likelihood estimator with the Bayesian estimators. Finally, illustrative example is presented to illustrate the different inference methods discussed here.

Suggested Reviewers

N/A

Recommended Citation

Abdel-Aty, Yahia; Shafay, Ahmed; M. Mohie El-Din, Marwa; and Nagy, M. (2015) "Bayesian Inference for The Inverse Exponential Distribution Based on Pooled Type-II Censored Samples," Journal of Statistics Applications & Probability: Vol. 4: Iss. 2, Article 6.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol4/iss2/6