# A Biconvex Form for Copulas

Dependence Modeling (2016)

- Volume: 4, Issue: 1, page 63-75, electronic only
- ISSN: 2300-2298

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topSebastian Fuchs. "A Biconvex Form for Copulas." Dependence Modeling 4.1 (2016): 63-75, electronic only. <http://eudml.org/doc/276566>.

@article{SebastianFuchs2016,

abstract = {We study the integration of a copula with respect to the probability measure generated by another copula. To this end, we consider the map [. , .] : C × C → R given by [...] where C denotes the collection of all d–dimensional copulas and QD denotes the probability measures associated with the copula D. Specifically, this is of interest since several measures of concordance such as Kendall’s tau, Spearman’s rho and Gini’s gamma can be expressed in terms of the map [. , .]. Quite generally, the map [. , .] can be applied to construct and investigate measures of concordance.},

author = {Sebastian Fuchs},

journal = {Dependence Modeling},

keywords = {biconvex form; copulas; concordance order; group of transformations; measures of concordance},

language = {eng},

number = {1},

pages = {63-75, electronic only},

title = {A Biconvex Form for Copulas},

url = {http://eudml.org/doc/276566},

volume = {4},

year = {2016},

}

TY - JOUR

AU - Sebastian Fuchs

TI - A Biconvex Form for Copulas

JO - Dependence Modeling

PY - 2016

VL - 4

IS - 1

SP - 63

EP - 75, electronic only

AB - We study the integration of a copula with respect to the probability measure generated by another copula. To this end, we consider the map [. , .] : C × C → R given by [...] where C denotes the collection of all d–dimensional copulas and QD denotes the probability measures associated with the copula D. Specifically, this is of interest since several measures of concordance such as Kendall’s tau, Spearman’s rho and Gini’s gamma can be expressed in terms of the map [. , .]. Quite generally, the map [. , .] can be applied to construct and investigate measures of concordance.

LA - eng

KW - biconvex form; copulas; concordance order; group of transformations; measures of concordance

UR - http://eudml.org/doc/276566

ER -

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