Limits: Journal of Mathematics and Its Applications
Vol 17, No 2 (2020)

Simulasi Jumlah Klaim Agregasi Berdistribusi Poisson Dengan Besar Klaim Berdistribusi Gamma dan Rayleigh

Rudi Ruswandi (Universitas Lampung)
Aang Nuryaman (Universitas Lampung)
Subian Saidi (Universitas Lampung)



Article Info

Publish Date
18 Dec 2020

Abstract

A claim is a transfer of risk from the insured to the guarantor. Claims that occur individually are called individual claims, whereas collections of individual claims are called aggregation claims in a single period of vehicle insurance. Aggregation claims consist of a pattern of the number and amount (nominal value) of individual claims, so that the model of aggregation claims is formed from each distribution of the number and amount of claims. The distribution of claims is based on the probability density function and the cumulative density function. One method that can be used to obtain a claim aggregation model is to use convolution, which is by combining the distribution of the number of claims and the distribution of the amount of claims so that the expected value can be obtained to predict the value of pure premiums. In this paper, aggregation claim modeling will be carried out with the number of claims distributed Poisson and the amount of claims distributed Gamma. As comparison, we compare it with claim amount distributed Rayleigh. By using VaR (value at risk) and MSE (Mean Square Error) indicators, the results of the analysis show that the Rayleigh distribution is better used for distributing data that has extreme values.

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Journal Info

Abbrev

limits

Publisher

Subject

Mathematics

Description

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Lembaga Penelitian dan Pengabdian Kepada Masyarakat (LPPM) Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, ...