Single-index copulae

Jean-David Fermanian; Olivier Lopez

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arxiv 1512.07621 v3 pith:AOIVTTZY submitted 2015-12-23 math.ST stat.MEstat.TH

Single-index copulae

Jean-David Fermanian , Olivier Lopez This is my paper

classification math.ST stat.MEstat.TH

keywords copulaeconditionalestimatesfunctionlinkparameterpropertiessingle-index

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We introduce so-called "single-index copulae". They are semi-parametric conditional copulae whose parameter is an unknown "link" function of a univariate index only. We provide estimates of this link function and of the finite dimensional unknown parameter. The asymptotic properties of the latter estimates are stated. Thanks to some properties of conditional Kendall's tau, we illustrate our technical conditions with several usual copula families.

Single-index copulae

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