E-Bayesian estimation and its E-MSE under the scaled squared error loss function,for exponential distribution as example |
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Authors: | Ming Han |
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Institution: | School of Science, Ningbo University of Technology, Ningbo, Zhejiang, China |
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Abstract: | This paper is concerned with using the E-Bayesian method for computing estimates of exponential distribution. In order to measure the estimated error, based on the E-Bayesian estimation, we proposed the definition of E-MSE(expected mean square error). Moreover, the formulas of E-Bayesian estimation and formulas of E-MSE are given respectively, these estimations are derived based on a conjugate prior distribution for the unknown parameter under the scaled squared error loss function. The properties of E-MSE under different scaled parameters are also provided. Monte Carlo simulations are performed to compare the performances of the proposed methods of estimation and a real data set have been analysed for illustrative purposes. Results are compared on the basis of E-MSE. |
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Keywords: | E-Bayesian estimation E-MSE Exponential distribution Monte Carlo simulation Scaled squared error loss function |
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