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International Journal of Mathematics and Mathematical Sciences
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Norms for copulas

descriptionPublicationkeyboard_double_arrow_right Article 20 Jul 1994 English Publisher:WileyJournal:International Journal of Mathematics and Mathematical Sciences, volume 18, pages 417-436 (issn: 0161-1712, eissn: 1687-0425, Copyright policy )
Authors: Elwood T. Olsen; William F. Darsow;

doi: 10.1155/s0161171295000536

Norms for copulas

Abstract

We consider several norms on the span of the set C of all copulas. Dominance and equivalence relationships among the norms are discussed, and completeness issues are addressed. The motivation for the study is discussed. Applications to the study of one parameter semigroups of copulas are also addressed.

Related Organizations
Keywords

copulas, Isomorphic theory (including renorming) of Banach spaces, One-parameter semigroups and linear evolution equations, dominance and equivalence, one parameter semigroups., one parameter semigroups of copulas, Measures and integrals in product spaces, Geometry and structure of normed linear spaces, completeness, QA1-939, Continuous-time Markov processes on general state spaces, doubly stochastic measures, Banach algebras, Mathematics

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 23
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Top 10%
Top 10%
Average
gold