Journal
FUZZY SETS AND SYSTEMS
Volume 467, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.fss.2023.02.007
Keywords
Copula; Hausdorff dimension; Quasi-copula; Self-similarity; Support
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This paper investigates the support set of fitting quasi-nil functions as self-similar fractal sets and provides similar results for both bivariate and multivariate cases.
It is known that for every s is an element of]1, 2[ there is a copula whose support is a self-similar fractal set with Hausdorff -and boxcounting- dimension s. In this paper we provide similar results for (proper) quasi-copulas, in both the bivariate and multivariate cases. (c) 2023 Elsevier B.V. All rights reserved.
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