(plicing Lindely and some Heavy tailed distributions for Modelling Marine Hull Insurance Claims Data )

Elaraby Mosad Mohammed Saed, Abdelrahman; Tawfik EL-bolkiny, Mohamed EL; Abd El Baki Wasif, Jamaal; Elbeshir Elshrbiny, Mona

doi:10.21608/alat.2025.431958

(plicing Lindely and some Heavy tailed distributions for Modelling Marine Hull Insurance Claims Data )

نوع المستند : المقالة الأصلية

المؤلفون

¹ كلية التجارة ـ جامامعة المنصورة

² كلية التجارة ـ جامعة المنصورة

10.21608/alat.2025.431958

المستخلص

Abstract
       Many methods and techniques are used to perform actuarial operations in property insurance companies. Among these methods are probability distributions, which are used to make decisions in Premium Rating, Reservation, Reinsurance Agreements, and Testing for Solvency.
        This study aims to develop Probability distributions for Marine Hull Claims data for one Egyptian property insurance company.
        This study introduced three mixture probability distributions using the splicing method (Lindely Pareto, Lindely Lomax, Lindely jumble) for Marine Hull insurance claims data.
        This study shows that (Lindely Pareto distribution) is the best for Hull insurance claims data.
         The previous results were obtained after conducting several tests including the maximized log-likelihood (-ℓ̂), Anderson-Darling (A), Cramér-Von Mises (W), Kolmogorov Smirnov (KS) statistics (with its p-value), Akaike information criterion (AIC), Bayesian information criterion (BIC), Hannan-Quinn information criterion (HQIC), and consistent Akaike information criterion (CAIC). The study used R statistical package software to calculate the previous measures.

الكلمات الرئيسية