We propose a notion of stochastic independence for probability MV-algebras, addressing an open problem posed by RieÄan and Mundici. Furthermore, we prove a representation theorem for probability MV-algebras and we get MV-algebraic versions of the Hölder inequality and the Hausdorff moment problem
International audienceWe show that under Bewley preferences, the axiom that usually characterizes st...
The purpose of the paper is to introduce, using the known results concerning the entropy in product ...
We define a product of algebraic probability spaces equipped with two states. This product is called...
We propose a notion of stochastic independence for probability MV-algebras, addressing an open probl...
Within the infinitary variety of σ-complete Riesz MV-algebras RMVσ, we introduce the algebraic analo...
summary:In this paper we construct conditional states on semi-simple MV-algebras. We show that these...
The notion of a tensor product with projections or with inclusions is defined. It is shown that the ...
summary:MV-algebras can be treated as non-commutative generalizations of boolean algebras. The proba...
The conditional probability distribution, γ, on a semi-simple MV-algebra, M, is an additive normed m...
AbstractUpper and lower conditional probabilities are defined by Hausdorff outer and inner measures,...
AbstractMutual stochastic independences among σ-algebras and mutual algebraic independences among el...
We discuss exchangeability and independence in the setting of sigma-complete Riesz MV-algebras. We d...
conditional independence relation. Stochastic realization problems are motivated by control and sign...
As a first part of a rigorous mathematical theory of non-commutative probability we present, startin...
International audienceWe show that under Bewley preferences, the axiom that usually characterizes st...
The purpose of the paper is to introduce, using the known results concerning the entropy in product ...
We define a product of algebraic probability spaces equipped with two states. This product is called...
We propose a notion of stochastic independence for probability MV-algebras, addressing an open probl...
Within the infinitary variety of σ-complete Riesz MV-algebras RMVσ, we introduce the algebraic analo...
summary:In this paper we construct conditional states on semi-simple MV-algebras. We show that these...
The notion of a tensor product with projections or with inclusions is defined. It is shown that the ...
summary:MV-algebras can be treated as non-commutative generalizations of boolean algebras. The proba...
The conditional probability distribution, γ, on a semi-simple MV-algebra, M, is an additive normed m...
AbstractUpper and lower conditional probabilities are defined by Hausdorff outer and inner measures,...
AbstractMutual stochastic independences among σ-algebras and mutual algebraic independences among el...
We discuss exchangeability and independence in the setting of sigma-complete Riesz MV-algebras. We d...
conditional independence relation. Stochastic realization problems are motivated by control and sign...
As a first part of a rigorous mathematical theory of non-commutative probability we present, startin...
International audienceWe show that under Bewley preferences, the axiom that usually characterizes st...
The purpose of the paper is to introduce, using the known results concerning the entropy in product ...
We define a product of algebraic probability spaces equipped with two states. This product is called...
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