article · Fuzzy Sets and Systems · 2023

Quasi-copulas as linear combinations of copulas

Cited by 2Open access

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 Fernández-Sánchez, Quesada-Molina, and Úbeda-Flores who considered linear combinations of discrete copulas.

Cite this paper

APA 7

Долинар, Г., Kuzma, B., & Stopar, N. (2023). Quasi-copulas as linear combinations of copulas. Fuzzy Sets and Systems, 477, 108821. https://doi.org/10.1016/j.fss.2023.108821

MLA 9

Долинар, Грегор, et al. “Quasi-copulas as linear combinations of copulas.” Fuzzy Sets and Systems, vol. 477, 2023, p. 108821, https://doi.org/10.1016/j.fss.2023.108821.

Chicago

Долинар, Грегор, Bojan Kuzma, and Nik Stopar. 2023. “Quasi-copulas as linear combinations of copulas.” Fuzzy Sets and Systems 477: 108821. https://doi.org/10.1016/j.fss.2023.108821.

Harvard

Долинар, Г., Kuzma, B. and Stopar, N. (2023) ‘Quasi-copulas as linear combinations of copulas’, Fuzzy Sets and Systems, 477, p. 108821. Available at: https://doi.org/10.1016/j.fss.2023.108821.

BibTeX

@article{anon2023quasi,
  title = {{Quasi-copulas as linear combinations of copulas}},
  author = {Долинар, Грегор and Kuzma, Bojan and Stopar, Nik},
  journal = {Fuzzy Sets and Systems},
  volume = {477},
  pages = {108821},
  year = {2023},
  doi = {10.1016/j.fss.2023.108821}
}

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