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Kybernetika 43(1):75-85, 2007.

A New Family of Trivariate Proper Quasi-copulas

Manuel Úbeda-Flores


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.


Keywords: copula; mass distribution; quasi-copula;


AMS: 62H05; 60E05;


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BIB TeX

@article{kyb:2007:1:75-85,

author = {\'{U}beda-Flores, Manuel },

title = {A New Family of Trivariate Proper Quasi-copulas},

journal = {Kybernetika},

volume = {43},

year = {2007},

number = {1},

pages = {75-85}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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