Quasi-copulas as linear combinations of copulas
| Autor: | Dolinar, Gregor, Kuzma, Bojan, Stopar, Nik |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Fuzzy Sets and Systems 477 (2024), 108821 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.fss.2023.108821 |
| Popis: | 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\'{a}ndez-S\'{a}nchez, Quesada-Molina, and \'{U}beda-Flores who considered linear combinations of discrete copulas. Comment: 21 pages |
| Databáze: | arXiv |
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