On copula-based collective risk models: from elliptical copulas to vine copulas
- 주제(키워드) Collective risk model , frequency-severity dependence , copula , Gaussian copula , vine copula
- 주제(기타) Mathematics, Interdisciplinary Applications
- 주제(기타) Social Sciences, Mathematical Methods
- 주제(기타) Statistics & Probability
- 설명문(일반) [Oh, Rosy] Ewha Womans Univ, Inst Math Sci, Seoul, South Korea; [Ahn, Jae Youn] Ewha Womans Univ, Dept Stat, Seoul, South Korea; [Lee, Woojoo] Seoul Natl Univ, Grad Sch Publ Hlth, Dept Publ Hlth Sci, Seoul, South Korea
- 등재 SCIE, SSCI, SCOPUS
- 발행기관 TAYLOR & FRANCIS LTD
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000182494
- 본문언어 영어
- Published As http://dx.doi.org/10.1080/03461238.2020.1768889
초록/요약
Several collective risk models have recently been proposed by relaxing the widely used but controversial assumption of independence between claim frequency and severity. Approaches include the bivariate copula model, random effect model, and two-part frequency-severity model. This study focuses on the copula approach to develop collective risk models that allow a flexible dependence structure for frequency and severity. We first revisit the bivariate copula method for frequency and average severity. After examining the inherent difficulties of the bivariate copula model, we alternatively propose modeling the dependence of frequency and individual severities using multivariate Gaussian and t-copula functions. We also explain how to generalize those copulas in the format of a vine copula. The proposed copula models have computational advantages and provide intuitive interpretations for the dependence structure. Our analytical findings are illustrated by analyzing automobile insurance data.
more