E-Bayesian and Robust Bayesian Estimation and Prediction for the Exponential Distribution based on Record Values

Alhamaidah, Alla; Naghizadeh Qomi, Mehran; Kiapour, Azadeh

doi:10.22034/jirss.2022.703326

E-Bayesian and Robust Bayesian Estimation and Prediction for the Exponential Distribution based on Record Values

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.

10.22034/jirss.2022.703326

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

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