We derive a rst-order approximation of the density of maximum entropy for a continuous 1-D random variable, given a number of simple constraints. This results in a density expansion which is somewhat similar to the classical polynomial density expansions by Gram-Charlier and Edgeworth. Using this approximation of density, an approximation of 1-D diierential entropy is derived. The approximation...

We derive a rst-order approximation of the density of maximum entropy for a continuous 1-D random variable, given a number of simple constraints. This results in a density expansion which is somewhat similar to the classical polynomial density expansions by Gram-Charlier and Edgeworth. Using this approximation of density, an approximation of 1-D diierential entropy is derived. The approximation...

Abstract: This paper carries out an investigation of the orthogonal-polynomial approach to reshaping symmetric distributions to fit in with data requirements so as to cover the multivariate case. With this objective in mind, reference is made to the class of spherical distributions, given that they provide a natural multivariate generalization of univariate even densities. After showing how to ...

In this paper we develop a white noise framework for the study of stochastic partial differential equations driven by a d-parameter (pure jump) Lévy white noise. As an example we use this theory to solve the stochastic Poisson equation with respect to Lévy white noise for any dimension d. The solution is a stochastic distribution process given explicitly. We also show that if d ≤ 3, then this s...

Using Casorati determinants of Charlier polynomials (ca n )n , we construct for each finite set F of positive integers a sequence of polynomials cF n , n ∈ σF , which are eigenfunctions of a second order difference operator, where σF is certain infinite set of nonnegative integers, σF ( N. For suitable finite sets F (we call them admissible sets), we prove that the polynomials cF n , n ∈ σF , a...

3. Sicart M, Besse P, Choussat A, Bricaud H: Action hemodynamique de l'amiodarone intra-veineuse chez l'homme. Arch Mal Coeur 3: 219, 1977 4. Charlier R, Delaunois G, Bauthier J: Caracteristiques et mecanismes de l'action de l'aamiodarone sur le debit cardiaque. Arzneimihel-Forschung 22: 1968, 1972 5. Charlier R, Delaunois G, Bauthier J: Incidence de l'amiodarone et de quelques beta-bloquants s...

Three series of experiments were conducted to study the effect of Reynolds number, near-wall perturbation and background turbulence on the characteristics of smooth open channel flows. Measurements were carried out using a laser Doppler anemometer. The variables of interest include the mean velocity, the turbulence intensity, probability density distribution and Gram-Charlier series coefficient...

When many correlative random physical proccesses are passed through nonlinear circuit elements such as detectors or rectifiers and the output random fluctuations are considered, the probability variables defined over positive region are fundamental quantities of engineering interest. First, a general expression of multi-dimensional probability density function in the form of orthogonal series s...