Bayesian Premium Estimators for Pareto Distribution in the Presence of Outliers

نویسندگان

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

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

doi
10.22034/jirss.2024.706593
چکیده

We assume 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 functions (asymmetric), using informative and non-informative priors. We use the Lindley approximation and Markov Chain Monte Carlo methods such as the importance sampling procedure for deriving results. Finally, the results are analyzed using simulation studies.