E-Bayesian Estimation for the Exponential Model Based on Record Statistics

Abstract

This paper is concerned with using the E-Bayesian method for computing estimates for the parameter and reliability function of the Exponential distribution based on a set of upper record statistics values. The estimates are derived based on a conjugate prior for the scale parameter and squared error loss function. A comparisons between the new method and the corresponding Bayes technique are made using the Monte Carlo simulation.

Keywords

• E-Bayes estimation
• Bayes estimation
• Exponential distribution
• Upper record statistics values
• Squared error loss function
• Monte Carlo simulation