Menentukan Tarif Premi Asuransi Kendaraan Bermotor Berdasarkan Data Klaim dengan Distribusi Poisson dan Gamma

Demak Rotua Simamora, Indah Febriani Sagala, Yessi Kristi Yamin
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Abstract

In calculating premiums based on claim size data obtained from motor vehicle insurance companies, it can be calculated using the Poisson and Gamma distributions. Where in this research, calculations will be carried out on data obtained through research studies and case studies in the form of data on the number and amount of claims from 2011 to 2014 obtained from the official website of the Financial Services Authority. Based on the data collected, there were 59,926,962,942 claims. For the record, find the premium per person every month and year by dividing the premium by the number of life insurance claims from 2011 to 2014, namely 59,926,962,942 claims. The calculation results show that using the moment method with the Poisson-Gamma distribution if the premium is calculated using the pure premium principle, namely 1.25129×106 in a month or 1.5015536893×107 in a year.
根据泊松和伽马分布的理赔数据确定机动车辆保险费率
在根据从机动车辆保险公司获得的索赔规模数据计算保费时,可以使用泊松分布和伽马分布进行计算。在本研究中,将根据从金融服务管理局官方网站获得的 2011 年至 2014 年索赔数量和金额数据,通过研究和案例分析获得的数据进行计算。根据收集到的数据,共有 59 926 962 942 项索赔。为了记录在案,用保费除以 2011 年至 2014 年的人寿保险理赔次数,即 59 926 962 942 次理赔,即可求出每人每月和每年的保费。计算结果表明,如果采用纯保费原则计算保费,使用泊松-伽马分布的矩量法,即月保费为 1.25129×106 或年保费为 1.5015536893×107。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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