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Title: Orbital semilinear copulas (English)
Author: Jwaid, Tarad
Author: Baets, Bernard de
Author: Meyer, Hans de
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 45
Issue: 6
Year: 2009
Pages: 1012-1029
Summary lang: English
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Category: math
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Summary: We introduce four families of semilinear copulas (i.e. copulas that are linear in at least one coordinate of any point of the unit square) of which the diagonal and opposite diagonal sections are given functions. For each of these families, we provide necessary and sufficient conditions under which given diagonal and opposite diagonal functions can be the diagonal and opposite diagonal sections of a semilinear copula belonging to that family. We focus particular attention on the family of orbital semilinear copulas, which are obtained by linear interpolation on segments connecting the diagonal and opposite diagonal of the unit square. (English)
Keyword: copula
Keyword: diagonal section
Keyword: opposite diagonal section
Keyword: orbital semilinear copula
Keyword: semilinear copula
MSC: 62H05
MSC: 62H10
MSC: 62H20
idZBL: Zbl 1186.62067
idMR: MR2650080
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Date available: 2010-06-02T19:33:07Z
Last updated: 2013-09-21
Stable URL: http://hdl.handle.net/10338.dmlcz/140033
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