Espérances conditionnelles d'intégrandes semi-continus
Esperanza condicionada para probabilidades finitamente aditivas.
Let (Ω, θ, J) be a finitely additive probabilistic space formed by any set Ω, an algebra of subsets θ and a finitely additive probability J. In these conditions, if F belongs to V1(Ω, θ, J) there exists f, element of the completion of L1(Ω, θ, J), such that F(E) = ∫E f dJ for all E of θ and conversely.The integral representation gives sense to the following result, which is the objective of this paper, in terms of the point function: if β is a subalgebra of θ, for every F of V1(Ω, θ, J) there exists...
Estimates of Hellinger integrals of infinitely divisible distributions
Events of Borel Sets, Construction of Borel Sets and Random Variables for Stochastic Finance
We consider special events of Borel sets with the aim to prove, that the set of the irrational numbers is an event of the Borel sets. The set of the natural numbers, the set of the integer numbers and the set of the rational numbers are countable, so we can use the literature [10] (pp. 78-81) as a basis for the similar construction of the proof. Next we prove, that different sets can construct the Borel sets [16] (pp. 9-10). Literature [16] (pp. 9-10) and [11] (pp. 11-12) gives an overview, that...
Exchanging the order of taking suprema and countable intersections of σ-algebras
Existence of Conditional Probabilities.
Existence of nontrivial stochastic monoids.
Existence theorems for measures on continous posets, with applications to random set theory.
Expectation, conditional expectation and martingales in local fields.
Expected values in the alternative set theory and their applications to some limit theorems
This article presents an alternative approach to statistical moments within non-standard models and by the help of these moments some limit theorems are reformulated and proved.
Extensión de medidas difusas usando la esperanza monótona.
The monotone expectation is defined as a functional over fuzzy measures on finite sets. The functional is based on Choquet functional over capacities and its more relevant properties are proved, including the generalization of classical mathematical expectation and Dempster's upper and lower expectations of an evidence. In second place, the monotone expectation is used to define measures of fuzzy sets. Such measures are compared with the ones based on Sugeno integral. Finally, we prove a generalization...
Factual And Cognitive Probability.
Feynman et les mathématiques
Filosofická pojetí pravděpodobnosti v pracích českých myslitelů [Book]
Formule de composition pour une classe d'opérateurs
Fuzzification of crisp domains
The present paper is devoted to the transition from crisp domains of probability to fuzzy domains of probability. First, we start with a simple transportation problem and present its solution. The solution has a probabilistic interpretation and it illustrates the transition from classical random variables to fuzzy random variables in the sense of Gudder and Bugajski. Second, we analyse the process of fuzzification of classical crisp domains of probability within the category of -posets of fuzzy...
Fuzzy random events and their corresponding conditional probability measures.
Generalization of some results on the degree of progress to goal in self-organization process
Generated fuzzy implications and fuzzy preference structures
The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.
Heisenberg's picture and non commutative geometry of the semi classical limit in quantum mechanics