Assessing the effect of E-Bayesian inference for Poisson inverse exponential distribution parameters under different loss functions and its application

Abstract

This paper present E-Bayesian and Bayesian estimators of parameters of Poisson inverse exponential distribution (PIED) under Squared error loss function (SELF), General entropy loss function (GELF) and Linear Exponential loss function (LINEX) for progressive type-II censored data with binomial removals (PT-II CBRs). The E-Bayesian and corresponding Bayesian estimators are compared in terms of their risks based on simulated samples from PIED. The proposed methodology is applied to survival time of multiple myeloma patients data.

Keywords:

• E-Bayesian estimation
• Bayesian estimation
• PIED
• PT-II CBRs
• Loss functions

Acknowledgments

The authors wish to thank Professor N. Balakrishanan, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada and the referee for their valuable and fruitful comments without which the article could not have taken its present form.