| Title: | Quasi-copulas as linear combinations of copulas |
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| Authors: | ID Dolinar, Gregor (Author)
ID Kuzma, Bojan (Author)
ID Stopar, Nik (Author) |
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| Files: |  URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0165011423004669
 PDF - Presentation file, download (604,94 KB)
MD5: 6003D2B404986F53D7838260F615B5E6
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| 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. |
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| Keywords: | quasi-copulas, copulas, linear combination, affine combination, Minkowski norm |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.02.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | 15 str. |
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| Numbering: | Vol. 477, article no. 108821 |
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| PID: | 20.500.12556/DiRROS-18197  |
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| UDC: | 519.2 |
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| ISSN on article: | 0165-0114 |
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| DOI: | 10.1016/j.fss.2023.108821 |
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| COBISS.SI-ID: | 179977731 |
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| Note: |
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| Publication date in DiRROS: | 16.02.2024 |
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| Views: | 1066 |
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| Downloads: | 546 |
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| Metadata: |    |
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