Sklar's theorem

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo copulas
joint distribution functions
gptkbp:describes relationship between multivariate distribution functions and their marginals
gptkbp:field gptkb:probability_theory
statistics
https://www.w3.org/2000/01/rdf-schema#label Sklar's theorem
gptkbp:implies existence of copulas
gptkbp:namedAfter Abe Sklar
gptkbp:originalLanguage English
gptkbp:publishedIn Publications of the American Mathematical Society
gptkbp:state any multivariate cumulative distribution function can be expressed in terms of its marginals and a copula
gptkbp:usedIn gptkb:machine_learning
finance
risk management
dependence modeling
gptkbp:yearProposed 1959
gptkbp:bfsParent gptkb:Abraham_Sklar
gptkbp:bfsLayer 7