On the construction of radially symmetric trivariate copulas

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Abstract

We propose a method to construct a 3-dimensional symmetric function that is radially symmetric, using two symmetric 2-copulas, with one of them being also radially symmetric. We study the properties of the presented construction in some specific cases and provide several examples for different families of copulas.

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Arias García, J. D. J., De Meyer, H., & De Baets, B. (2017). On the construction of radially symmetric trivariate copulas. In Advances in Intelligent Systems and Computing (Vol. 456, pp. 9–15). Springer Verlag. https://doi.org/10.1007/978-3-319-42972-4_2

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