A characterization of the type of the Cauchy-Hua measure on real symmetric matrices
type: Item
instance of: scholarly article
title: A characterization of the type of the Cauchy-Hua measure on real symmetric matrices
zbMATH Open document ID: 0646.60015
DOI: 10.1007/BF01246629
author: Jean-Louis Dunau
author: Henri Sénateur
published in: Journal of Theoretical Probability
publication date: 1988-01-01T00:00:00Z
review text: The Cauchy-Hua probability measure on the set of \(n\times n\) real symmetric matrices is introduced and characterized by its invariance under the symplectic group. This is a continuation of a series of papers by the same authors, where other group structures were used, see e.g. Probability measures on groups VIII, Proc. 8th Conf., Oberwolfach/Ger. 1985, Lect. Notes Math. 1210, 41-57 (1986; Zbl 0615.60002), for an abstract formulation of the problem.
reviewed by: Włodek Bryc
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 4054685
zbMATH Keywords: Cauchy distribution
zbMATH Keywords: invariance under the symplectic group
MaRDI profile type: Publication
cites work: Q4722906
cites work: An elementary proof of the Knight-Meyer characterization of the Cauchy distribution
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cites work: Symplectic Geometry
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description: scientific article; zbMATH DE number 4054685