Occurence times of rare events for mixing dynamical systems
On a class of covariance operators.
On A Random Function Defined On A Pseudo Boolean Algebra
On additive and non-additive measures of directed divergence
On algorithmical testing tables of random numbers.
On an Extendability Problem for Measures.
On analytical properties of generalized convolutions
The paper is, for the most part, devoted to a survey of the analytical properties of generalized convolution algebras and their realizations. This issue appears to be the state of the art until now because intensive research on the generalized convolution and the related models still persists.
On Atoms of Measures on Product Spaces.
On Certain Generalized Probability Domains
On exchangeable random variables and the statistics of large graphs and hypergraphs.
On extensions of Rényi conditional probability spaces
On finite additivity, non-conglomerability and statistical paradoxes.
Some statistical paradoxes arising from the use of non-conglomerable finitely additive distributions are discussed.
On generalized credence functions
On independent sets in purely atomic probability spaces with geometric distribution.
On joint distributions of observables
On limiting towards the boundaries of exponential families
This work studies the standard exponential families of probability measures on Euclidean spaces that have finite supports. In such a family parameterized by means, the mean is supposed to move along a segment inside the convex support towards an endpoint on the boundary of the support. Limit behavior of several quantities related to the exponential family is described explicitly. In particular, the variance functions and information divergences are studied around the boundary.
On mean value in -quantum spaces
The paper deals with a new mathematical model for quantum mechanics based on the fuzzy set theory [1]. The indefinite integral of observables is defined and some basic properties of the integral are examined.
On practical problems with the explanation of the difference between possibility and probability
On Probability Function On Pseudo-Boolean Algebra
On probability of first order formulas in a given model