منابع مشابه
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-copula induces a signed measure on [0, 1]n . © 2010 Elsevier B.V. All rights reserved.
متن کاملA note on quasi-copulas and signed measures
In this note we provide two alternative proofs to that given in [15] of the fact that the best possible lower bound for the set of n-quasi-copulas does not induce a stochastic measure on [0, 1]n for n ≥ 3: firstly, by reviewing its mass distribution, and secondly, by using concepts of self-affinity.
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We show that there exist bivariate proper quasi-copulas that do not induce a doubly stochastic signed measure on [0, 1]. We construct these quasi-copulas from the so-called proper quasitransformation square matrices.
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We consider the minimization problem of φ-divergences between a given probability measure P and subsets Ω of the vector space MF of all signed finite measures which integrate a given class F of bounded or unbounded measurable functions. The vector space MF is endowed with the weak topology induced by the class F ∪Bb where Bb is the class of all bounded measurable functions. We treat the problem...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1997
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-97-01902-8