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(1)
Convex Set
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Discrete Copulas
Discrete Copulas,10.1109/TFUZZ.2006.880003,IEEE Transactions on Fuzzy Systems,Anna Kolesárová,Radko Mesiar,Juliana Mordelová,Carlo Sempi
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Discrete Copulas
(
Citations: 8
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Anna Kolesárová
,
Radko Mesiar
,
Juliana Mordelová
,
Carlo Sempi
We define discrete copulas on a grid of the unit square and show that with each discrete copula there is associated, in a natural way, a bistochastic matrix. This is used in order to introduce the product of discrete copulas. Discrete copulas of order n are the smallest
convex set
containing the irreducible discrete copulas of order n introduced by Mayor
Journal:
IEEE Transactions on Fuzzy Systems  TFS
, vol. 14, no. 5, pp. 698705, 2006
DOI:
10.1109/TFUZZ.2006.880003
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Citation Context
(2)
...Moreover, an empirical copula is an example of an irreducible discrete copula as defined in [
13
]...
Arturo Erdely
,
et al.
A SmallSample Nonparametric Independence Test for the Archimedean Fam...
...An interesting class of subcopulas are discrete copulas introduced in [
19
], compare also empirical copulas discussed in [27], D : I 2 n → [0, 1] (or in m–dimensional...
...one correspondence with bistochastic n × n matrices [
19
]...
Radko Mesiar
.
Copulas: A tool for modeling the dependence structure of random vector...
References
(2)
CopulaLike Operations on Finite Settings
(
Citations: 14
)
Gaspar Mayor
,
Jaume Suñer
,
Joan Torrens
Journal:
IEEE Transactions on Fuzzy Systems  TFS
, vol. 13, no. 4, pp. 468477, 2005
On a class of operators for expert systems
(
Citations: 49
)
G. Mayor
,
J. Torrens
Journal:
International Journal of Intelligent Systems  IJIS
, vol. 8, no. 7, pp. 771778, 1993
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Citations
(8)
Role of Endoscopic Ultrasonography in Gastroduodenal Cystic Lesions: Pictorial Review
H. J. Kim
,
K. W. Kim
,
S. S. Lee
,
J. H. Byun
Journal:
Ultrasound in Medicine and Biology  ULTRASOUND MED BIOL
, vol. 37, no. 8, pp. S90S90, 2011
Nonexchangeability of negatively dependent random variables
(
Citations: 3
)
Fabrizio Durante
,
Pier Luigi Papini
Journal:
Metrika
, vol. 71, no. 2, pp. 139149, 2010
Matrix representation of copulas and quasicopulas defined on nonsquare grids of the unit square
Isabel Aguiló
,
Jaume Suñer
,
Joan Torrens
Journal:
Fuzzy Sets and Systems  FSS
, vol. 161, no. 2, pp. 254268, 2010
On a class of transformations of copulas and quasicopulas
(
Citations: 6
)
Elisabetta Alvoni
,
Pier Luigi Papini
,
Fabio Spizzichino
Journal:
Fuzzy Sets and Systems  FSS
, vol. 160, no. 3, pp. 334343, 2009
Matrix representation of discrete quasicopulas
(
Citations: 4
)
Isabel Aguiló
,
Jaume Suñer
,
Joan Torrens
Journal:
Fuzzy Sets and Systems  FSS
, vol. 159, no. 13, pp. 16581672, 2008