Completeness of spaces over finitely additive probabilities
S. Gangopadhyay, B. Rao (1999)
Colloquium Mathematicae
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S. Gangopadhyay, B. Rao (1999)
Colloquium Mathematicae
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Lipovan, Octavian (1996)
Novi Sad Journal of Mathematics
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Jörn Lembcke (1980)
Czechoslovak Mathematical Journal
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Liliana Wajda (1972)
Colloquium Mathematicae
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Patrizia Berti, Luca Pratelli, Pietro Rigo, Fabio Spizzichino (2015)
Dependence Modeling
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Let (X,A) and (Y,B) be measurable spaces. Supposewe are given a probability α on A, a probability β on B and a probability μ on the product σ-field A ⊗ B. Is there a probability ν on A⊗B, with marginals α and β, such that ν ≪ μ or ν ~ μ ? Such a ν, provided it exists, may be useful with regard to equivalent martingale measures and mass transportation. Various conditions for the existence of ν are provided, distinguishing ν ≪ μ from ν ~ μ.
Chichilnisky, Graciela (2010)
Journal of Probability and Statistics
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Bogdan Pawlik (1987)
Colloquium Mathematicae
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Vladimír Olejček (1981)
Mathematica Slovaca
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D. Candeloro, A. Martellotti (1996)
Collectanea Mathematica
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As an application of a theorem concerning a general stochastic process in a finitely additive probability space, the existence of non-atomic countably additive restrictions with large range is obtained for group-valued finitely additive measures.