On multivariate countermonotonic copulas and their actuarial application
- 주제(키워드) Countermonotonicity , Minimal Copula , Variance Minimization
- 등재 SCOPUS
- 발행기관 Maik Nauka-Interperiodica Publishing
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000135496
- 본문언어 영어
- Published As http://dx.doi.org/10.1134/S199508021604003X
초록/요약
Extreme positive dependence, also known as comonotonicity or the Fréchet upper bound, has been an important concept in insurance since it describes the most dangerous financial behaviors. However, there is no generally agreed upon definition for extreme negative dependence because the corresponding Fréchet lower bound does not exist. To resolve this, a set of copulas under the name of d-Countermonotonicity (d-CTM) has been proposed to define extreme negative dependence rather than a single copula. The set of d-CTM copulas can be quite useful in various optimization problems. In this paper, we investigate various properties of d-CTM with more emphasis on the practical issues of actual optimization problems. As an application to insurance, we explore the effect of risk pooling under extreme dependence by adopting the so-called measure of uncertainty. © 2016, Pleiades Publishing, Ltd.
more