Expected Bayesian estimations of premium and their comparisons using expected posterior mean square error

Authors
farzaneh sanei
mehran naghizadeh
azadeh kiapour
Abstract
In this paper‎, ‎Bayesian and expected Bayesian (E-Bayesian) estimation of premium with exponential claim size is considered‎. ‎After calculation of premium using Heilmann principal‎, ‎its Bayesian and E-Bayesian estimation under three priors of hyper-parameters are obtained‎. ‎Then‎, ‎formulas for E-MSE are provided‎. ‎A Monte Carlo simulation is conducted for comparison of E-Bayesian estimators of premium‎. ‎A real example is presented for illustration of the results‎.
Keywords
E-Bayesian estimation‎
‎Premium‎
‎E-MSE‎
‎Claim size
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