Ordinal sums and idempotents of copulas
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Publication:623380
DOI10.1007/s00010-010-0013-6zbMath1205.62063OpenAlexW2168125865MaRDI QIDQ623380
Publication date: 14 February 2011
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-010-0013-6
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Fuzzy measure theory (28E10) Miscellaneous topics in measure theory (28E99) Fuzzy real analysis (26E50) Miscellaneous topics in real functions (26E99)
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Cites Work
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- An introduction to copulas.
- Multivariate Archimedean copulas, \(d\)-monotone functions and \(\ell _{1}\)-norm symmetric distributions
- A probabilistic interpretation of complete monotonicity
- A characterization of quasi-copulas
- Triangular norms
- Naturally Totally Ordered Commutative Semigroups