| Title: | Coherence and avoidance of sure loss for standardized functions and semicopulas |
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| Authors: | ID Klement, Erich Peter (Author)
ID Kokol-Bukovšek, Damjana (Author)
ID Mojškerc, Blaž (Author)
ID Omladič, Matjaž (Author)
ID Saminger, Susanne (Author)
ID Stopar, Nik (Author) |
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| Files: |  PDF - Presentation file, download (992,65 KB)
MD5: D9406392F0C75E73A77367F0E8358A79
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0888613X23002207
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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 discuss avoidance of sure loss and coherence results for semicopulas and standardized functions, i.e., for grounded, $1$-increasing functions with value $1$ at $(1, 1, \ldots , 1)$. We characterize the existence of a $k$-increasing $n$-variate function $C$ fulfilling $A \le C \le B$ for standardized $n$-variate functions $A$, $B$ and discuss methods for constructing such functions. Our proofs also include procedures for extending functions on some countably infinite mesh to functions on the unit box. We provide a characterization when $A$ respectively $B$ coincides with the pointwise infimum respectively supremum of the set of all $k$-increasing $n$-variate functions $C$ fulfilling $A \le C \le B$. |
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| Keywords: | copulas, quasi-copulas, semicopulas, standardized function, coherence, avoidance of sure loss, k-increasing function |
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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: | 20 str. |
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| Numbering: | Vol. 165, article no. ǂ109089 |
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| PID: | 20.500.12556/DiRROS-18396  |
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| UDC: | 519.2 |
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| ISSN on article: | 0888-613X |
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| DOI: | 10.1016/j.ijar.2023.109089 |
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| COBISS.SI-ID: | 174544131 |
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| Note: | Soavtorji: Damjana Kokol Bukovšek, Blaž Mojškerc, Matjaž Omladič, Susanne Saminger-Platz, Nik Stopar;
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| Publication date in DiRROS: | 13.03.2024 |
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| Views: | 1028 |
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| Downloads: | 560 |
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