Marshall-Olkin copulas revisited

Košir, Tomaž (author), Lazić, Petra (author), Omladič, Matjaž (author)

Almost 70-year-old Marshall–Olkin copulas, then wider Marshall copulas, and finally even wider shock model (SM) copulas constitute a substantial part of nowadays copula theory due to numerous applications. Recently, Christian Genest with some coauthors introduced a new stochastic model for a special subclass of SM copulas which gives not only a new angle on these copulas but also widens the range of applications. In this paper, we extend this type of stochastic model to all known subclasses of SM copulas. We also introduce a novel class of SM copulas and extend the new stochastic model to this class as well.

• Language: English
• Keywords: copulas, dependence concepts, shock models, extreme points
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.06.2026
• Year: 2026
• Number of pages: 18 str.
• Numbering: Vol. 23, iss. 4, article no. 142
• PID: 20.500.12556/RUL-183228
• UDC: 519.2
• ISSN on article: 1660-5446
• DOI: 10.1007/s00009-026-03135-x
• COBISS.SI-ID: 280873475
• Publication date in RUL: 08.06.2026

Record is a part of a journal

• Title: Mediterranean journal of mathematics
• Shortened title: Mediterr. j. math.
• Publisher: Springer Nature
• ISSN: 1660-5446
• COBISS.SI-ID: 13561433

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: matematika, verjetnost, statistika, kopule

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0448
• Name: Stohastične metode in njihova uporaba

• Funder: HRZZ - Croatian Science Foundation
• Funding programme: Croatian Science Foundation (CSF)
• Project number: IP-2022-10-2277
• Name: Geometric properties and potential theory of stochastic processes