Approximate Bayes Estimators of The Inverted Kumarswamy Distribution Parameters Based on Progressive Type-II Censoring Scheme

Authors

A. Rashad, Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, Cairo, Egypt.
M. Yusuf
Sara Moheb

Author Country (or Countries)

Egypt.

Abstract

The purpose of this study is to estimate unknown parameters, reliability, the hazard rate, and the reversed hazard rate function of the inverted Kumaraswamy distribution based on progressively type-II censoring samples. Maximum likelihood estimators are obtained. The Bayesian estimation is studied under quadratic (squared error) and general entropy loss functions using Lindley’s approximation.Non-informative prior distributions are used for the parameters. Based on a Monte Carlo simulation study, the statistical performances of Bayes estimators based on quadratic and general entropy loss functions are compared between various estimates.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/080304

Recommended Citation

Rashad, A.; Yusuf, M.; and Moheb, Sara (2019) "Approximate Bayes Estimators of The Inverted Kumarswamy Distribution Parameters Based on Progressive Type-II Censoring Scheme," Journal of Statistics Applications & Probability: Vol. 8: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/jsap/080304
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol8/iss3/4