Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes
Embeddability of infinitely divisible distributions on linear Lie groups.
Embedding of an Infinitely Divisible Probality Measure over a Connected Solvable Lie Group.
Enlargement of the Class of Geometrically Infinitely Divisible Random Variables
Entropic Projections and Dominating Points
Entropic projections and dominating points are solutions to convex minimization problems related to conditional laws of large numbers. They appear in many areas of applied mathematics such as statistical physics, information theory, mathematical statistics, ill-posed inverse problems or large deviation theory. By means of convex conjugate duality and functional analysis, criteria are derived for the existence of entropic projections, generalized entropic projections and dominating points. Representations...
Entropy considerations in the noncommutative setting.
∈-entropy of sets of probability distribution functions and their Fourier-Stieltjes transforms
Equipartitioning Common Domains of Non-Atomic Measures.
Equivalence of compositional expressions and independence relations in compositional models
We generalize Jiroušek’s (right) composition operator in such a way that it can be applied to distribution functions with values in a “semifield“, and introduce (parenthesized) compositional expressions, which in some sense generalize Jiroušek’s “generating sequences” of compositional models. We say that two compositional expressions are equivalent if their evaluations always produce the same results whenever they are defined. Our first result is that a set system is star-like with centre if...
Equivalent-singular dichotomy for quasi-invariant ergodic measures
Ergodic properties of locally stationary processes
Erlang distributed activity times in stochastic activity networks
It is assumed that activity times in stochastic activity networks (SANs) are independent Erlang random variable (r.v.). A recurrence method of determining the th moments of the completion time is presented. Applications are provided for illustration and are used to evaluate the applicability and appropriateness of the Erlang model to represent activity network.
Erratum / Correction to : “A bound on the moment generating function of a sum of dependent variables with an application to simple random sampling without replacement”
Erratum: Equivalence of compositional expressions and independence relations in compositional models
Estimates in the laws of large numbers for regular summation methods.
Estimates of Hellinger integrals of infinitely divisible distributions
Estimates of some probabilities in multidimensional convex records
Convex records in Euclidean space are considered. We provide both lower and upper bounds on the probability that in a sequence of random vectors ,..., there are exactly k records.
Estimation du support et du contour du support d'une loi de probabilité
Estimation of parameters of a spherical invariant stable distribution
This paper concerns the estimation of the parameters that describe spherical invariant stable distributions: the index α ∈ (0,2] and the scale parameter σ >0. We present a kind of moment estimators derived from specially transformed original data.
Étude probabiliste des sommes des puissances s-ièmes