Copula-based modeling for IBNR claim loss reserving

被引:0
|
作者
Zaroudi, Samira [1 ]
Faridrohani, Mohammad Reza [2 ]
Behzadi, Mohammad Hassan [3 ]
Safari-Katesari, Hadi [4 ]
机构
[1] Southern Illinois Univ, Sch Math & Stat Sci, Carbondale, IL 62901 USA
[2] Shahid Beheshti Univ, Fac Math Sci, Dept Stat, Tehran, Iran
[3] Sci & Res Islamic Azad Univ, Dept Stat, Tehran, Iran
[4] Stevens Inst Technol, Dept Math Sci, Hoboken, NJ 07030 USA
关键词
Copula; Event and reporttimes; IBNR reserves; Run-o triangle; Third-party insurance;
D O I
10.24200/sci.2021.54706.3878
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
.there are growing concerns for reserves estimation of Incurred But NotReported (IBNR) claims in actuarial sciences. In this paper, we propose a copula-baseddependency model to capture the relationship between two main IBNR reserve variables,i.e., the \time between two successive occurrences" and \delay time".A maximumlikelihood estimation method is used to estimate the parameters of the model. A simulationstudy is conducted to evaluate the validity of the theoretical results. Moreover, the proposedmethod is applied to predict the number of claims for the next years of a portfolio froma major automobile insurer and is compared to the classical Chain-Ladder (CL) modelforecasting. (c) 2024 Sharif University of Technology. All rights reserved
引用
收藏
页码:1596 / 1605
页数:10
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