4.7 Article

A note on an idempotent transformation of absolutely continuous Archimedean copulas

Journal

FUZZY SETS AND SYSTEMS
Volume 393, Issue -, Pages 160-166

Publisher

ELSEVIER
DOI: 10.1016/j.fss.2019.04.023

Keywords

Archimedean copula; Copula; Idempotent transformation

Funding

  1. Ministry of Economy and Competitiveness (Spain) [MTM2014-60594-P]
  2. FEDER

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In De Baets et al. [6] the authors define, for a copula C, an idempotent transformation D[C] which, in some cases, generates new copulas. In this note we give a (negative) answer to a question posed in [6], showing that D[C] is not necessarily a copula when Cis an absolutely continuous Archimedean copula. (C) 2019 Elsevier B.V. All rights reserved.

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