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arXiv · 1204.5623

Essential Closures and Supports of Multivariate Copulas

Pongpol Ruankong·Songkiat Sumetkijakan
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Abstract

We generalize the notion of essential closures which is used in formulating a geometric necessary condition for a set to be the support of a multivariate copula. Furthermore, in some special cases, we derive an explicit formula of the support in terms of essential closures and obtain a stronger necessary condition.

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Pongpol Ruankong, Songkiat Sumetkijakan. 2012-07-25. Essential Closures and Supports of Multivariate Copulas. https://arxiv.org/abs/1204.5623

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