Sur une théorie informationnelle de l'observation pour des événements de nature probabiliste
The axiomatic melting point. Teaching probability theory in Prague during the 1930's.
The calcul of probability and the method of majority. (Le calcul des probabilités et la méthode des majorités.)
The degree of progress to goal during self-organization process
The foundations of probability with black swans.
Totally coherent set-valued probability assessments
We introduce the concept of total coherence of a set-valued probability assessment on a family of conditional events. In particular we give sufficient and necessary conditions of total coherence in the case of interval-valued probability assessments. Some relevant cases in which the set-valued probability assessment is represented by the unitary hypercube are also considered.
Translation invariance and finite additivity in a probability measure on the natural numbers.
Two classes of measures
Ultralogics and probability models.
Un contre-exemple touchant à l'indépendance
Un point de priorité
Une remarque sur la construction de noyaux
Une remarque sur le lemme de Borel-Cantelli
Upgrading Probability via Fractions of Events
The influence of “Grundbegriffe” by A. N. Kolmogorov (published in 1933) on education in the area of probability and its impact on research in stochastics cannot be overestimated. We would like to point out three aspects of the classical probability theory “calling for“ an upgrade: (i) classical random events are black-and-white (Boolean); (ii) classical random variables do not model quantum phenomena; (iii) basic maps (probability measures and observables – dual maps to random variables) have very...
Wahrscheinlichkeits- und Wettbegriff.
What random variable generates a bounded potential?
τ-régularité des lois, séparation au sens de A. Tulcea et propriété de Radon-Nikodym
Законы больших чисел в конструктивной теории вероятностей
Интегрируемые FR-конструкты над вероятностным пространством
Необходимые и достаточные условия для шпеккеровых свойств вероятностного пространства