Count copula regression model using generalized beta distribution of the second kind

• Authors: Hadi Safari-Katesari , Samira Zaroudi

Abstracts

EN

Modelling claims severity for obtaining insurance premium is one of the major concerns of the insurance industry. There is a considerable amount of literature on the actuarial application of the copula model to calculate the pure premium. In this paper, we model claims severity for computing the pure premium in the collision market by means of the count copula model. Moreover, we apply a regression model using a generalized beta distribution of the second kind (GB2) to compute the premium for an average claim and the conditional computation for all coverage levels. Like many other researchers, we assume that the number of accidents is independent from the size of claims. For real data application, we use a portfolio of a major automobile insurer in Iran in 2007-2008, with a subsample of 59,547 policies available in their portfolio. We then proceed to compare the estimated premiums with the real premiums. The results demonstrate that there is strong positive dependency between the real premium and the estimated one.

Keywords

EN

count copula; GB2 regression; pure premium; collision insurance

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2020
• Volume: 21
• Issue: 2
• Pages: 1-12

Contributors

author

Hadi Safari-Katesari

• Department of Mathematics, Southern Illinois University, Carbondale, USA

• https://orcid.org/0000000326303133

author

Samira Zaroudi

• Department of Mathematics, Southern Illinois University, Carbondale, USA

• https://orcid.org/0000000182906137

Identifiers

DOI

10.21307/stattrans-2020-011

Biblioteka Nauki

1363595