2 citations · 2 across the 3 of their papers we have counts for
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On a Generalized -Product for Copulas
Pongpol Ruankong, Songkiat Sumetkijakan
This paper focuses on a generalization of the *-product called -product. This product, first introduced by Durante, Klement and Quesada-Molina, was used to characterize…
Shuffles of copulas and a new measure of dependence
Pongpol Ruankong, Tippawan Santiwipanont, Songkiat Sumetkijakan
Using a characterization of Mutual Complete Dependence copulas, we show that, with respect to the Sobolev norm, the MCD copulas can be approximated arbitrarily closed by shuffles o…
Essential Closures and Supports of Multivariate Copulas
Pongpol Ruankong, Songkiat Sumetkijakan
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 so…