Quasi-copulas as linear combinations of copulas
Abstract
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 Fern\'andez-S\'anchez, Quesada-Molina, and \'Ubeda-Flores who considered linear combinations of discrete copulas.
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