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On multivariate countermonotonic copulas and their actuarial application

Title
On multivariate countermonotonic copulas and their actuarial application
Authors
Ko B.Ahn J.Y.
Ewha Authors
안재윤
SCOPUS Author ID
안재윤scopus
Issue Date
2016
Journal Title
Lobachevskii Journal of Mathematics
ISSN
1995-0802JCR Link
Citation
vol. 37, no. 4, pp. 387 - 396
Keywords
CountermonotonicityMinimal CopulaVariance Minimization
Publisher
Maik Nauka-Interperiodica Publishing
Indexed
SCOPUS scopus
Abstract
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.
DOI
10.1134/S199508021604003X
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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