TY - JOUR
T1 - Count copula regression model using generalized beta distribution of the second kind
AU - Safari-Katesari, Hadi
AU - Zaroudi, Samira
N1 - Publisher Copyright: © 2020 Glowny Urzad Statystyczny. All rights reserved.
PY - 2020/6
Y1 - 2020/6
N2 - 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.
AB - 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.
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U2 - 10.21307/STATTRANS-2020-011
DO - 10.21307/STATTRANS-2020-011
M3 - Article
SN - 1234-7655
VL - 21
SP - 1
EP - 12
JO - Statistics in Transition New Series
JF - Statistics in Transition New Series
IS - 2
ER -