Title : ( Bayesian Premium Estimators for Pareto Distribution in the Presence of outliers )
Authors: Rahele Mollaye , Mehdi Jabbari Nooghabi ,
Full TextAbstract
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.
Keywords
, Bayesian Premium, Pareto Distribution, Outliers, Non-informative Prior Distribution, Entropy, LINEX and Squared Error Loss.
@article{paperid:1095440,
author = {Mollaye, Rahele and Jabbari Nooghabi, Mehdi},
title = {Bayesian Premium Estimators for Pareto Distribution in the Presence of outliers},
journal = {Journal of the Iranian Statistical Society},
year = {2023},
volume = {21},
number = {3},
month = {August},
issn = {1726-4057},
pages = {1--22},
numpages = {21},
keywords = {Bayesian Premium; Pareto Distribution; Outliers; Non-informative Prior Distribution;
Entropy; LINEX and Squared Error Loss.},
}
%0 Journal Article
%T Bayesian Premium Estimators for Pareto Distribution in the Presence of outliers
%A Mollaye, Rahele
%A Jabbari Nooghabi, Mehdi
%J Journal of the Iranian Statistical Society
%@ 1726-4057
%D 2023
