On a class of norms generated by nonnegative integrable distributions

We show that any distribution function on ℝd with nonnegative, nonzero and integrable marginal distributions can be characterized by a norm on ℝd+1, called F-norm. We characterize the set of F-norms and prove that pointwise convergence of a sequence of F-norms to an F-norm is equivalent to convergen...

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Bibliographic Details
Main Authors: Falk Michael, Stupfler Gilles
Format: Article
Language:English
Published: De Gruyter 2019-07-01
Series:Dependence Modeling
Subjects:
Online Access:https://doi.org/10.1515/demo-2019-0014