Geodesic
Symmetries of random discrete copulas
Kybernetika, Tome 44 (2008) no. 6, pp. 846-863.

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In this paper we analyze some properties of the discrete copulas in terms of permutations. We observe the connection between discrete copulas and the empirical copulas, and then we analyze a statistic that indicates when the discrete copula is symmetric and obtain its main statistical properties under independence. The results obtained are useful in designing a nonparametric test for symmetry of copulas.
Classification : 60C05, 62E15, 62H05
Keywords: discrete copulas; r-symmetric permutations; independence 
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     title = {Symmetries of random discrete copulas},
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     pages = {846--863},
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     zbl = {1206.62099},
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     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_6_a8/}
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Erdely, Arturo; González–Barrios, José M.; Nelsen, Roger B. Symmetries of random discrete copulas. Kybernetika, Tome 44 (2008) no. 6, pp. 846-863. http://geodesic.mathdoc.fr/item/KYB_2008__44_6_a8/