On the construction of copulas and quasi-copulas with given diagonal sections
Roger B. Nelsen,
José Juan Quesada-Molina,
Rodriguez-Lallena, José Antonio and
Manuel Úbeda-Flores
Insurance: Mathematics and Economics, 2008, vol. 42, issue 2, 473-483
Abstract:
We study a method, which we call a copula (or quasi-copula) diagonal splice, for creating new functions by joining portions of two copulas (or quasi-copulas) with a common diagonal section. The diagonal splice of two quasi-copulas is always a quasi-copula, and we find a necessary and sufficient condition for the diagonal splice of two copulas to be a copula. Applications of this method include the construction of absolutely continuous asymmetric copulas with a prescribed diagonal section, and determining the best-possible upper bound on the set of copulas with a particular type of diagonal section. Several examples illustrate our results.
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:42:y:2008:i:2:p:473-483
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