Advances and Applications in Statistics

The Advances and Applications in Statistics is an internationally recognized journal indexed in the Emerging Sources Citation Index (ESCI). It provides a platform for original research papers and survey articles in all areas of statistics, both computational and experimental in nature.

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ESTIMATION OF NATURAL CATASTROPHES REINSURANCE PREMIUM USING SOME PARETO TAILED COMPOSITE MODELS

Authors

  • Abdelkader Ameraoui

Keywords:

PC model, PH reinsurance, ML estimator, Bayesian inference, goodness-of-fit, simulations

DOI:

https://doi.org/10.17654/0972361724067

Abstract

In this paper, we investigate the use of a new kind of the so-called Pareto composite (PC) model, for estimating the proportional hazard reinsurance premium, when extreme natural disasters costs are considered. The PC models allow more flexibility over the thickness of the tail. The parameters estimation problem is considered in different points of views. We study the adequacy of these models, using a Monte-Carlo procedure first, and thereafter propose an application to natural catastrophes (Nat-CAT) reinsurance premium relating to a real dataset.

Received: March 19, 2024
Revised: May 3, 2024
Accepted: May 8, 2024

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Published

04-09-2024

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Articles

How to Cite

ESTIMATION OF NATURAL CATASTROPHES REINSURANCE PREMIUM USING SOME PARETO TAILED COMPOSITE MODELS. (2024). Advances and Applications in Statistics , 91(10), 1279-1313. https://doi.org/10.17654/0972361724067

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