A Boolean-valued probability theory
A characterization of α-convolutions
A Logic for Reasoning About Qualitative Probability
A nonstandard modification of Dempster combination rule
It is a well-known fact that the Dempster combination rule for combination of uncertainty degrees coming from two or more sources is legitimate only if the combined empirical data, charged with uncertainty and taken as random variables, are statistically (stochastically) independent. We shall prove, however, that for a particular but large enough class of probability measures, an analogy of Dempster combination rule, preserving its extensional character but using some nonstandard and boolean-like...
A note on nonaxiomatizability of independence relations generated by certain probabilistic structures
Algorithmical Definition of Finite Markov Sequence
An axiomatization of extensional probability measures
An extension of a Meyer's theorem
An extension of the probability logic
Analysis on some linear sets
The note discusses a probabilistic method for constructing “small” sets, with regard to differentiable transformations and to quantitative measures of independence.
Attempts at axiomatic description of conditional independence
Between logic and probability.
Logic and Probability, as theories, have been developed quite independently and, with a few exceptions (like Boole's), have largely ignored each other. And nevertheless they share a lot of similarities, as well a considerable common ground. The exploration of the shared concepts and their mathematical treatment and unification is here attempted following the lead of illustrious researchers (Reichenbach, Carnap, Popper, Gaifman, Scott & Krauss, Fenstad, Miller, David Lewis, Stalnaker, Hintikka...
Borel and monotone hierarchies and extension of Rényi probability spaces
Caracterización axiomática para la varianza.
En el artículo ([7]), M. Martín propone dos caracterizaciones axiomáticas para la varianza sugiriendo la posibilidad de caracterizarla de forma más intuitiva como una medida de incertidumbre que tenga en cuenta el soporte de la probabilidad, además del valor de ésta.El presente trabajo está dedicado a establecer una caracterización en tal sentido, siguiendo la línea de la axiomática de D. K. Faddeyew para la entropía de Shannon y de la axiomática propuesta en ([3]) para la medida definida en ([2]).Queremos...
Classical analogues of quantum paradoxes.
Classification des états pour un système aléatoire à liaisons complètes
Compactness and Domination.
Complément à la bibliographie de l'article de A. Tortrat : «τ-régularité des lois, séparation au sens de A. Tulcea et propriété de Radon-Nicodym»
Conditional probabilities and permutahedron
Contributions to foundations of probability calculus on the basis of the modal logical calculus or