Bayesian Premium Estimators for Pareto Distribution in the Presence of outliers

Document Type : Original Article


Department of Statistics, Ferdowsi University of Mashhad, Mashhad-Iran


We propose the Pareto distribution in the presence of outliers based on the Dixit model. We consider the estimation of the Bayesian Premium under squared error loss function (symmetric), linear exponential, and entropy loss function (asymmetric), using informative and non-informative priors. We use the Lindley approximation and Markov Chain Monte Carlo methods such as the importance sampling procedure. Finally, the results are analyzed by using simulation studies.


Articles in Press, Accepted Manuscript
Available Online from 06 August 2023
  • Receive Date: 16 April 2022
  • Revise Date: 25 May 2024
  • Accept Date: 17 June 2023