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Quasi-copulas as linear combinations of copulas
Gregor Dolinar, Bojan Kuzma, Nik Stopar · 2023-11-07 · via math.PR updates on arXiv.org

We prove that every quasi-copula can be written as a uniformly converging infinite sum of multiples of copulas. Furthermore, we characterize those quasi-copulas which can be written as a finite sum of multiples of copulas, i.e., that are a linear combination of two copulas. This generalizes a recent result of Fernández-Sánchez, Quesada-Molina, and Úbeda-Flores who considered linear combinations of discrete copulas.

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