Abstract
Discrete copulas are flexible tools in statistics to describe the joint distribution of discrete random vectors. In addition, they are interesting mathematical objects that can be represented as convex polytopes. In this work, we summarize the most important results related to polytopes of discrete copulas and discuss their use in applications. Along the way, we also highlight some differences between the space of bivariate and d-dimensional discrete copulas (with \(d>2\)), thereby raising interesting questions on their geometric properties and statistical interpretation.
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Perrone, E. (2023). Polytopes of Discrete Copulas and Applications. In: García-Escudero, L.A., et al. Building Bridges between Soft and Statistical Methodologies for Data Science . SMPS 2022. Advances in Intelligent Systems and Computing, vol 1433. Springer, Cham. https://doi.org/10.1007/978-3-031-15509-3_42
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