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

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Alhamaidah Alla; Naghizadeh Qomi Mehran; Kiapour Azadeh

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Journal Paper

Paper Information

Journal: JOURNAL OF THE IRANIAN STATISTICAL SOCIETY Year:2022 | Volume:21 | Issue:2 Page(s): 133-147

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Information Journal Paper

Title

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

Author(s)

Alhamaidah Alla | Naghizadeh Qomi Mehran | Kiapour Azadeh | Issue Writer Certificate

Keywords

E-Bayesian estimation and prediction

Exponential Distribution

record values

Robust Bayesian estimation and prediction

Squared log error loss function

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.

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