A complete characterization of maximal copulas with given track section

Omladič, Matjaž (avtor), Škulj, Damjan (avtor)

Bivariate copulas with prescribed diagonal section were first studied by Bertino. Their maximality was studied so far only from the point of view of upper bounds which brings quasi-copulas into the picture and limits the resulting set substantially. We propose to study maximality of these families in the order theoretic sense. A copula $C$ with given diagonal section $\delta$ is called undominated if there is no copula $C' \ne C$ with the same diagonal section $\delta$ such that $C \le C'$. The main contribution of this paper is a new method that provides undominated copulas. They form a much wider class that contains the known upper bounds as a very small subclass. There was a recent call for the study of asymmetry which is addressed by our class better than by the known ones. Corresponding quasi-copulas can be obtained from our copulas via splicing techniques. Most results are given on the level of tracks.

• Jezik: Angleški jezik
• Ključne besede: bivariate copulas, quasi-copulas, diagonal section, track section, undominated copulas
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FDV - Fakulteta za družbene vede ; FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2026
• Št. strani: 15 str.
• Številčenje: Vol. 541, art. 109949
• PID: 20.500.12556/RUL-182583
• UDK: 519.2
• ISSN pri članku: 0165-0114
• DOI: 10.1016/j.fss.2026.109949
• COBISS.SI-ID: 278471427
• Datum objave v RUL: 18.05.2026

Gradivo je del revije

• Naslov: Fuzzy sets and systems
• Skrajšan naslov: Fuzzy sets syst.
• Založnik: Elsevier
• ISSN: 0165-0114
• COBISS.SI-ID: 25498624

Licence

• Licenca: CC BY-NC 4.0, Creative Commons Priznanje avtorstva-Nekomercialno 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by-nc/4.0/deed.sl
• Opis: Licenca Creative Commons, ki prepoveduje komercialno uporabo, vendar uporabniki ne rabijo upravljati materialnih avtorskih pravic na izpeljanih delih z enako licenco.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: matematika, verjetnosti

Projekti

• Financer: ARIS - Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
• Številka projekta: P1-0448
• Naslov: Stohastične metode in njihova uporaba

• Financer: ARIS - Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
• Številka projekta: P5-0168
• Naslov: Družboslovna metodologija, statistika in informatika