A new family of trivariate proper quasi-copulas

Manuel Úbeda-Flores

Kybernetika (2007)

  • Volume: 43, Issue: 1, page 75-85
  • ISSN: 0023-5954

Abstract

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In this paper, we provide a new family of trivariate proper quasi-copulas. As an application, we show that W 3 – the best-possible lower bound for the set of trivariate quasi-copulas (and copulas) – is the limit member of this family, showing how the mass of W 3 is distributed on the plane x + y + z = 2 of [ 0 , 1 ] 3 in an easy manner, and providing the generalization of this result to n dimensions.

How to cite

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Úbeda-Flores, Manuel. "A new family of trivariate proper quasi-copulas." Kybernetika 43.1 (2007): 75-85. <http://eudml.org/doc/33841>.

@article{Úbeda2007,
abstract = {In this paper, we provide a new family of trivariate proper quasi-copulas. As an application, we show that $W^\{3\}$ – the best-possible lower bound for the set of trivariate quasi-copulas (and copulas) – is the limit member of this family, showing how the mass of $W^3$ is distributed on the plane $x+y+z=2$ of $[0,1]^3$ in an easy manner, and providing the generalization of this result to $n$ dimensions.},
author = {Úbeda-Flores, Manuel},
journal = {Kybernetika},
keywords = {copula; mass distribution; quasi-copula; mass distribution},
language = {eng},
number = {1},
pages = {75-85},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A new family of trivariate proper quasi-copulas},
url = {http://eudml.org/doc/33841},
volume = {43},
year = {2007},
}

TY - JOUR
AU - Úbeda-Flores, Manuel
TI - A new family of trivariate proper quasi-copulas
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 1
SP - 75
EP - 85
AB - In this paper, we provide a new family of trivariate proper quasi-copulas. As an application, we show that $W^{3}$ – the best-possible lower bound for the set of trivariate quasi-copulas (and copulas) – is the limit member of this family, showing how the mass of $W^3$ is distributed on the plane $x+y+z=2$ of $[0,1]^3$ in an easy manner, and providing the generalization of this result to $n$ dimensions.
LA - eng
KW - copula; mass distribution; quasi-copula; mass distribution
UR - http://eudml.org/doc/33841
ER -

References

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