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Calculation of the Aggregate Claim Amount Distribution Using a Recursive Method with R and Actuar: Apply to One of the Comprehensive Motor Insurance Companies

المصدر: مجلة البحوث المالية والتجارية
الناشر: جامعة بورسعيد - كلية التجارة
المؤلف الرئيسي: Neel, Dina Talaat Hamdy (Author)
مؤلفين آخرين: Farag, Wael Mohamed Ali (Co-Author)
المجلد/العدد: ع2
محكمة: نعم
الدولة: مصر
التاريخ الميلادي: 2023
الشهر: أبريل
الصفحات: 71 - 92
ISSN: 2090-5327
رقم MD: 1419253
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EcoLink
مواضيع:
كلمات المؤلف المفتاحية:
Aggregate Claim | Claim Frequency | Claim Severity | Collective Risk Model | Discretization | Recursive Method
رابط المحتوى:
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المستخلص: This study aims to compute the aggregate claim amount distribution in one of the comprehensive motor insurance companies. One major issue that actuaries face is computing the distribution of aggregate losses, where computing the aggregate claim amount distribution requires a discrete arithmetic claim amount distribution, in some numerical techniques. This paper concerning with the discretization of continuous claims amount distribution by applying four discretization methods. Then calculate the aggregate claim amount distribution by Panjer recursive technique. Also, this paper presents how to achieve this by actuar which is a software package that provides statistical science functionality to the R statistical system. This package provides also functions to discretize & compute the continuous distributions of the overall loss distribution using a variety of techniques, including methods as recursive and simulation. Results indicate the increasing importance of comprehensive motor insurance recently according to the annual statistics book of insurance last issues. Also presents that for the four discretization methods, both unbiased and rounding seem identical.

ISSN: 2090-5327