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

Author(s):

Farzaneh Sanei , Mehran Naghizadeh* , Azadeh Kiapour

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
Persian
Published:
Journal of Mathematical Researches, Volume:10 Issue: 3, 2024
Pages:
123 to 135
https://www.magiran.com/p2794142  
سامانه نویسندگان
  • Naghizadeh Qomi، Mehran
    Corresponding Author (2)
    Naghizadeh Qomi, Mehran
    Associate Professor Statistics, Faculty of Mathematical Sciences, University of Mazandaran, بابلسر, Iran
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