Title : ( Shrinkage Estimators of shape parameter of Contaminated Pareto Model with Insurance Application )
Authors: Rahele Mollaye , Mehdi Jabbari Nooghabi ,
Full TextAbstract
In this paper, a Pareto distribution in the presence of outliers is proposed as a claim size distribution. The shrinkage estimators of the shape parameter are derived. Also, estimators of Premium are considered and compared by using simulation study. Finally, an actual example is proposed for obtaining different estimators of the Premium.
Keywords
, Pareto distribution, Maximum likelihood, Moment method, Uniformly minimum variance unbiased, Shrinkage estimator, Outliers, Premium, Insurance.
@article{paperid:1093317,
author = {Mollaye, Rahele and Jabbari Nooghabi, Mehdi},
title = {Shrinkage Estimators of shape parameter of Contaminated Pareto Model with Insurance Application},
journal = {Hacettepe Journal of Mathematics and Statistics},
year = {2023},
volume = {52},
number = {4},
month = {August},
issn = {1303-5010},
pages = {1082--1095},
numpages = {13},
keywords = {Pareto distribution; Maximum likelihood; Moment method; Uniformly
minimum variance unbiased; Shrinkage estimator; Outliers; Premium; Insurance.},
}
%0 Journal Article
%T Shrinkage Estimators of shape parameter of Contaminated Pareto Model with Insurance Application
%A Mollaye, Rahele
%A Jabbari Nooghabi, Mehdi
%J Hacettepe Journal of Mathematics and Statistics
%@ 1303-5010
%D 2023
