Parameter Estimation for a Mixture of Inverse Chen and Inverse Compound Rayleigh Distribution Based on Type-I Hybrid Censoring Scheme

Authors

M. A. Aefa, Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptFollow
M. Mahmoud
M. M. Nassar

Author Country (or Countries)

Egypt

Abstract

In this paper, we consider the statistical inference of the unknown parameters of a mixture of the inverse Chen and inverse compound Rayleigh distributions (ICICRD) based on the Type-I hybrid censored scheme. The parameters are estimated using maximum likelihood and Bayesian methods. However, since Bayes estimators do not exist in an explicit form for the parameters, Tierney-Kadane (T-K) approximation is used to obtain the Bayes estimators with loss functions: the symmetric square error (SE), asymmetric linear exponential (LINEX) and general entropy (GE) loss functions . An extensive simulation study is conducted to compare the performances of different methods.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100305

Recommended Citation

A. Aefa, M.; Mahmoud, M.; and M. Nassar, M. (2021) "Parameter Estimation for a Mixture of Inverse Chen and Inverse Compound Rayleigh Distribution Based on Type-I Hybrid Censoring Scheme," Journal of Statistics Applications & Probability: Vol. 10: Iss. 2, Article 5.
DOI: http://dx.doi.org/10.18576/jsap/100305
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss2/5