Geodesic
Remarks on Two Product-like Constructions for Copulas
Kybernetika, Tome 43 (2007) no. 2, pp. 235-244.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We investigate two constructions that, starting with two bivariate copulas, give rise to a new bivariate and trivariate copula, respectively. In particular, these constructions are generalizations of the $\ast $-product and the $\star $-product for copulas introduced by Darsow, Nguyen and Olsen in 1992. Some properties of these constructions are studied, especially their relationships with ordinal sums and shuffles of Min.
Classification : 60E05, 62H05
Keywords: copula; ordinal sum; shuffle of Min; concordance 
@article{KYB_2007__43_2_a9,
     author = {Durante, Fabrizio and Klement, Erich Peter and Quesada-Molina, Jos\'e and Sarkoci, Peter},
     title = {Remarks on {Two} {Product-like} {Constructions} for {Copulas}},
     journal = {Kybernetika},
     pages = {235--244},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2007},
     mrnumber = {2343398},
     zbl = {1136.60306},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_2_a9/}
}
TY  - JOUR
AU  - Durante, Fabrizio
AU  - Klement, Erich Peter
AU  - Quesada-Molina, José
AU  - Sarkoci, Peter
TI  - Remarks on Two Product-like Constructions for Copulas
JO  - Kybernetika
PY  - 2007
SP  - 235
EP  - 244
VL  - 43
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2007__43_2_a9/
LA  - en
ID  - KYB_2007__43_2_a9
ER  - 
%0 Journal Article
%A Durante, Fabrizio
%A Klement, Erich Peter
%A Quesada-Molina, José
%A Sarkoci, Peter
%T Remarks on Two Product-like Constructions for Copulas
%J Kybernetika
%D 2007
%P 235-244
%V 43
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2007__43_2_a9/
%G en
%F KYB_2007__43_2_a9
Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José; Sarkoci, Peter. Remarks on Two Product-like Constructions for Copulas. Kybernetika, Tome 43 (2007) no. 2, pp. 235-244. http://geodesic.mathdoc.fr/item/KYB_2007__43_2_a9/