Quasi-copulas and signed measures

We study the relationship between multivariate quasi-copulas and measures that they may or may not induce on [ 0 , 1 ] n . We first study the mass distribution of the pointwise best possible lower bound for the set of n-quasi-copulas for n ≥ 3 . As a consequence, we show that not every n-quasi-copul...

Full description

Saved in:
Bibliographic Details
Published in:Fuzzy sets and systems 2010-09, Vol.161 (17), p.2328-2336
Main Authors: Nelsen, Roger B., Quesada-Molina, José Juan, Rodríguez-Lallena, José Antonio, Úbeda-Flores, Manuel
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Computer science
control theory
systems
Copula
Digital circuits
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Fuzzy set theory
Information, signal and communications theory
Lower bounds
Mass distribution
Mathematical methods
Measure
Miscellaneous
Quasi-copula
Signed measure
Stochastic measure
Stochastic signed measure
Telecommunications and information theory
Theoretical computing
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the relationship between multivariate quasi-copulas and measures that they may or may not induce on [ 0 , 1 ] n . We first study the mass distribution of the pointwise best possible lower bound for the set of n-quasi-copulas for n ≥ 3 . As a consequence, we show that not every n-quasi-copula induces a signed measure on [ 0 , 1 ] n .
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2010.03.020