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EM estimation for the mixed Pareto regression model for claim severities.

Authors :
Aradhye, Girish
Tzougas, George
Bhati, Deepesh
Source :
Communications in Statistics: Theory & Methods. 2024, Vol. 53 Issue 15, p5507-5523. 17p.
Publication Year :
2024

Abstract

This article presents a mixed Pareto model and examines its suitability for modeling non life insurance claim severity data sets which exhibit peculiar characteristics that cannot be captured by the Pareto distribution. Furthermore, we introduce regression specifications for both the mean and the dispersion parameters of the mixed Pareto model. Our main achievement is that we develop a novel Expectation-Maximization (EM) algorithm for finding the maximum likelihood (ML) estimates of the parameters of the mixed Pareto regression model which is used for demonstration purposes. Finally, a real-data application based on motor insurance claim size data is provided. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610926
Volume :
53
Issue :
15
Database :
Academic Search Index
Journal :
Communications in Statistics: Theory & Methods
Publication Type :
Academic Journal
Accession number :
177900636
Full Text :
https://doi.org/10.1080/03610926.2023.2221358