Result: On the Gaussian q-distribution
Title:
On the Gaussian q-distribution
Authors:
Source:
Journal of mathematical analysis and applications. 358(1):1-9
Publisher Information:
Amsterdam: Elsevier, 2009.
Publication Year:
2009
Physical Description:
print, 24 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Analyse mathématique, Mathematical analysis, Mesure et intégration, Measure and integration, Analyse fonctionnelle, Functional analysis, Analyse mathématique, Mathematical analysis, Análisis matemático, Application, Aplicación, Combinatoire, Combinatorics, Combinatoria, Fonction répartition, Distribution function, Función distribución, Loi normale, Gaussian distribution, Curva Gauss, 05A30, 05XX, 28C20, 46T12, q calcul, q calculus, Gaussian measure, q-Calculus, q-Combinatorics
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Facultad de Administración, Universidad del Rosario, Bogotá, Colombia
Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia
Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia
ISSN:
0022-247X
Rights:
Copyright 2009 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.21616260
Database:
PASCAL Archive
Further Information
We present a study of the Gaussian q-measure introduced by Diaz and Teruel from a probabilistic and from a combinatorial viewpoint. A main motivation for the introduction of the Gaussian q-measure is that its moments are exactly the q-analogues of the double factorial numbers. We show that the Gaussian q-measure interpolates between the uniform measure on the interval [―1,1] and the Gaussian measure on the real line.