A characterization of the type of the Cauchy-Hua measure on real symmetric matrices (Q1103941)
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scientific article; zbMATH DE number 4054685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of the type of the Cauchy-Hua measure on real symmetric matrices |
scientific article; zbMATH DE number 4054685 |
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A characterization of the type of the Cauchy-Hua measure on real symmetric matrices (English)
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1988
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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.
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Cauchy distribution
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invariance under the symplectic group
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0.86961293
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0.86210984
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0.86151606
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0.85313916
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