Name
Abstract | ||
|---|---|---|
In this paper a matrix representation for discrete quasi-copulas defined on a non-square grid In× Im of [0,1]2 with m=kn, k≥1 is given. The special case of irreducible discrete quasi-copulas (those that cannot be expressed as nontrivial convex combination of other ones) is also studied. It is proved that quasi-copulas of minimal range admit a matrix representation through a special class of matrices. In the case of copulas, it is proved that irreducible copulas coincide with those of minimal range. Moreover, an algorithm to express any discrete copula as a convex combination of irreducible ones is given. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.3233/978-1-58603-925-7-273 | CCIA |
Keywords | Field | DocType |
special class,nontrivial convex combination,irreducible copula,special case,discrete quasi-copulas,minimal range,irreducible discrete quasi-copulas,discrete copula,matrix representation,convex combination,non-square matrix | Matrix (mathematics),Convex combination,Irreducibility,Pure mathematics,Square matrix,Irreducible representation,Discrete system,Matrix representation,Mathematics,Special case | Conference |
Volume | ISSN | Citations |
184 | 0922-6389 | 1 |
PageRank | References | Authors |
0.38 | 10 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| I. Aguiló | 1 | 85 | 10.76 |
| Jaume Suòer | 2 | 1 | 1.06 |
| Joan Torrens | 3 | 1259 | 92.67 |