Document Type : Original Article

Authors

• Alla Alhamaidah ¹
• Mehran Naghizadeh Qomi ¹
• Azadeh Kiapour ²

¹ Department of Statistics, University of Mazandaran, Babolsar, Iran.

² Department of Statistics, Babol branch, Islamic Azad University, Babol, Iran.

Abstract

This article deals with the problem of E-Bayesian and robust Bayesian estimation and prediction in the exponential distribution on the basis of record observations under the squared log error loss function. The E-Bayesian and robust Bayesian estimators of the scale parameter are computed and their performances are investigated using a simulation study. We extend the idea of E-Bayesian estimation to the E-Bayesian prediction of future record observation and perform a simulation study using a prequential analysis for comparison of proposed E-Bayesian and robust Bayesian predictors. Two real data sets are analyzed for illustrating the estimation and prediction results.

Keywords

• E-Bayesian Estimation and Prediction
• Exponential Distribution
• Record Values
• Robust Bayesian Estimation and Prediction
• Squared Log Error Loss Function