GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - WoS: 1
Citation - Scopus: 1
Uncorrelatedness Sets of Bounded Random Variables
(Academic Press inc Elsevier Science, 2004) Ostrovska, S
An uncorrelatedness set of two random variables shows which powers of random variables are uncorrelated. These sets provide a measure of independence: the wider an uncorrelatedness set is, the more independent random variables are. Conditions for a subset of N-2 to be an uncorrelatedness set of bounded random variables are studied. Applications to the theory of copulas are given. (C) 2004 Elsevier Inc. All rights reserved.
Citation - WoS: 8
Citation - Scopus: 8
Completeness of the Eigenvectors of a Dissipative Second Order Difference Operator: Dedicated To Lynn Erbe on the Occasion of His 65th Birthday
(Taylor & Francis Ltd, 2002) Guseinov, GS
In this paper we consider a dissipative linear operator generated in the Hilbert space l(2) by a second order difference expression on the semi-axis (in other words, by an infinite Jacobi matrix) in the Weyl-Hamburger limit-circle case. This operator is constructed via a boundary condition at infinity. We prove the completeness in 2 of the system of eigenvectors and associated vectors of the dissipative operator which is considered.