Maximal ideals in a semigroup of measures
Mengenwertige Masse und Fortsetzungen.
Mesures de probabilité sur les entiers et ensembles progressions
Multi-variate correlation and mixtures of product measures
Total correlation (‘TC’) and dual total correlation (‘DTC’) are two classical ways to quantify the correlation among an -tuple of random variables. They both reduce to mutual information when . The first part of this paper sets up the theory of TC and DTC for general random variables, not necessarily finite-valued. This generality has not been exposed in the literature before. The second part considers the structural implications when a joint distribution has small TC or DTC. If , then is...
Occurence times of rare events for mixing dynamical systems
On A Random Function Defined On A Pseudo Boolean Algebra
On A Theorem Of Möbius: Elementary Variations On The Polynomial Tonality.
On Certain Generalized Probability Domains
On continuous collections of measures
An integral representation theorem is proved. Each continuous function from a totally disconnected compact space to the probability measures on a complete metric space is shown to be the resolvent of a probability measure on the space of continuous functions from to .
On d-finite tuples in random variable structures
We prove that the d-finite tuples in models of ARV are precisely the discrete random variables. Then, we apply d-finite tuples to the work by Keisler, Hoover, Fajardo, and Sun concerning saturated probability spaces. In particular, we strengthen a result in Keisler and Sun's recent paper.
On elliptic curves and random matrix theory
Rubinstein has produced a substantial amount of data about the even parity quadratic twists of various elliptic curves, and compared the results to predictions from random matrix theory. We use the method of Heegner points to obtain a comparable (yet smaller) amount of data for the case of odd parity. We again see that at least one of the principal predictions of random matrix theory is well-evidenced by the data.
On exceptional systems of random integers.
On Fixed Points Of Generalized Contractions On Probabilistic Metric Spaces
On fixed points of generalized contractions on probabilistic metric spaces.
On -joint distribution
On Poisson and composed Poisson stochastic set functions
On Probability Function On Pseudo-Boolean Algebra
On some contributions to quantum structures by fuzzy sets
It is well known that the fuzzy sets theory can be successfully used in quantum models ([5, 26]). In this paper we give first a review of recent development in the probability theory on tribes and their generalizations – multivalued (MV)-algebras. Secondly we show some applications of the described method to develop probability theory on IF-events.
On the distribution of random variables corresponding to Musielak-Orlicz norms
Given a normalized Orlicz function M we provide an easy formula for a distribution such that, if X is a random variable distributed accordingly and X₁,...,Xₙ are independent copies of X, then , where is a positive constant depending only on p. In case p = 2 we need the function t ↦ tM’(t) - M(t) to be 2-concave and as an application immediately obtain an embedding of the corresponding Orlicz spaces into L₁[0,1]. We also provide a general result replacing the -norm by an arbitrary N-norm. This...
On the existence of conditional density functions