(Splicing Lindely and some Heavy tailed distributions for Modelling Marine Hull Insurance Claims Data )
Elaraby Mosad Mohammed Saed, A., Tawfik EL-bolkiny, M., Abd El Baki Wasif, J., Elbeshir Elshrbiny, M. (2025). (Splicing Lindely and some Heavy tailed distributions for Modelling Marine Hull Insurance Claims Data ). EKB Journal Management System, 49(1), 1206-1228. doi: 10.21608/alat.2025.431958
Abdelrahman Elaraby Mosad Mohammed Saed; Mohamed EL Tawfik EL-bolkiny; Jamaal Abd El Baki Wasif; Mona Elbeshir Elshrbiny. "(Splicing Lindely and some Heavy tailed distributions for Modelling Marine Hull Insurance Claims Data )". EKB Journal Management System, 49, 1, 2025, 1206-1228. doi: 10.21608/alat.2025.431958
Elaraby Mosad Mohammed Saed, A., Tawfik EL-bolkiny, M., Abd El Baki Wasif, J., Elbeshir Elshrbiny, M. (2025). '(Splicing Lindely and some Heavy tailed distributions for Modelling Marine Hull Insurance Claims Data )', EKB Journal Management System, 49(1), pp. 1206-1228. doi: 10.21608/alat.2025.431958
Elaraby Mosad Mohammed Saed, A., Tawfik EL-bolkiny, M., Abd El Baki Wasif, J., Elbeshir Elshrbiny, M. (Splicing Lindely and some Heavy tailed distributions for Modelling Marine Hull Insurance Claims Data ). EKB Journal Management System, 2025; 49(1): 1206-1228. doi: 10.21608/alat.2025.431958

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

المجلة المصرية للدراسات التجارية
Volume 49, Issue 1, January 2025, Page 1206-1228  XML PDF (816.61 K)
Document Type: المقالة الأصلية
DOI: 10.21608/alat.2025.431958
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Authors
Abdelrahman Elaraby Mosad Mohammed Saed1; Mohamed EL Tawfik EL-bolkiny2; Jamaal Abd El Baki Wasif2; Mona Elbeshir Elshrbiny2
1كلية التجارة ـ جامامعة المنصورة
2كلية التجارة ـ جامعة المنصورة
Abstract
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.
Keywords
Claims; Marine Hull insurance; Mixture distributions; probability distributions; Actuarial practice in property insurance
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