| Title:
|
A new family of trivariate proper quasi-copulas (English) |
| Author:
|
Úbeda-Flores, Manuel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
75-85 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
copula |
| Keyword:
|
mass distribution |
| Keyword:
|
quasi-copula |
| MSC:
|
60E05 |
| MSC:
|
62H05 |
| idZBL:
|
Zbl 1131.62048 |
| idMR:
|
MR2343332 |
| . |
| Date available:
|
2009-09-24T20:21:19Z |
| Last updated:
|
2013-09-21 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135755 |
| . |
| Reference:
|
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