الفهرس 
AcknowledgementOnly 14 pages are availabe for public view
 |  | from | 168 |  |  |
| | | from | 168 | | |
Abstract
Many methods and techniques are used to perform actuarial operations in property insurance companies; among these are probability distributions, which are used in making decisions in Premium Rating, Reservation, Reinsurance Agreements, and Testing for Solvency.This study aims to develop Probability distributions for Claims data for three branches of property insurance (Engineering, Marine Hull and Medical Insurance) in the Egyptian insurance market. This study introduces nine mixture probability distributions (Log .logistic Pareto, Log .logistic Lomax, Log .logistic jumble) for Engineering insurance. (Lindley Pareto, Lindely Lomax, Lindely Jumble) for Marine Hull insurance. (Weibull Pareto, Weibull Lomax, Weibull jumble) For Medical Insurance. The result of this study shows that (L. logistic jumble) distribution is the best distribution for Engineering insurance claims data, (Lindley Pareto distribution) is the best distribution for Marine Hull insurance claims data, and (Weibull Pareto) distribution is the best distribution for Medical Insurance claims data. The previous results were obtained after conducting several tests including Kolmogorov Smirnov (KS) statistics (with its p-value), Cramér-Von Mises (W), Anderson-Darling (A), the maximized log-likelihood (-ℓ̂), Akaike information criterion (AIC), Bayesian information criterion (BIC), Hannan-Quinn information criterion (HQIC), and consistent Akaike information criterion (CAIC). The R statistical package software is employed to calculate all of these measures.