Application du calcul symbolique au calcul de la loi de certains processus
In this paper, we study basic properties of symmetric stable random vectors for which the spectral measure is a copula, i.e., a distribution having uniformly distributed marginals.
The necessary and sufficient condition for a function to be Borel measurable (given by Theorem stated below) provides a technique to prove (in Corollary 2) the existence of a Borel measurable map such that holds for each , where denotes Bernoulli sequence of random variables with .
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...
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...