On multivariate countermonotonic copulas and their actuarial application
- Авторлар: Ko B.1, Ahn J.2
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Мекемелер:
- Soongsil University
- Ewha Womans University
- Шығарылым: Том 37, № 4 (2016)
- Беттер: 387-396
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197980
- DOI: https://doi.org/10.1134/S199508021604003X
- ID: 197980
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
Bangwon Ko
Soongsil University
Хат алмасуға жауапты Автор.
Email: bko@ssu.ac.kr
Корей Республикасы, Seoul
Jae Ahn
Ewha Womans University
Email: bko@ssu.ac.kr
Корей Республикасы, Seoul
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