English

Copula-based Modeling for IBNR Claim Loss Reserving

Applications 2022-03-25 v1

Abstract

There are growing concerns for reserves estimation of incurred but not reported (IBNR) claims in actuarial sciences. In this paper, we propose a copula-based dependency model to capture the relationship between two main IBNR reserve variables, i.e., the time between two successive occurrences and delay time. A maximum likelihood estimation method is used to estimate the parameters of the model. A simulation study is conducted to evaluate the validity of the theoretical results. Moreover, the proposed method is applied to predict the number of claims for the next years of a portfolio from a major automobile insurer and is compared to the classical CL model forecasting.

Keywords

Cite

@article{arxiv.2203.12750,
  title  = {Copula-based Modeling for IBNR Claim Loss Reserving},
  author = {Samira Zaroudi and Mohammad Reza Faridrohani and Mohammad Hassan Behzadi and Hadi Safari-Katesari},
  journal= {arXiv preprint arXiv:2203.12750},
  year   = {2022}
}
R2 v1 2026-06-24T10:24:02.525Z