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Une caractérisation du type de la loi de Cauchy-conforme sur \({\mathbb{R}}^ n\). (A characterization of the type of the conformal Cauchy law on \({\mathbb{R}}^ n)\)

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Publication:1113563
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DOI10.1007/BF01848135zbMath0662.62008MaRDI QIDQ1113563

Jean-Louis Dunau, Henri Sénateur

Publication date: 1988

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

invariancecharacterizationtransformationstranslationssimilaritiesnon-atomic measureconformal Cauchy distributiontype of probability measures


Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)


Related Items

Some properties of a Cauchy family on the sphere derived from the Möbius transformations ⋮ Towards three-dimensional conformal probability



Cites Work

  • Seul le groupe des similitudes-inversions préserve le type de la loi de Cauchy-conforme de \({\mathbb{R}}^ n\) pour \(n>1\). (Only the group of similitude-inversions preserves the Cauchy-conformal type distributions of \({\mathbb{R}}^ n\) for \(n>1)\)
  • An elementary proof of the Knight-Meyer characterization of the Cauchy distribution
  • A Characterization of the Cauchy Type
  • [https://portal.mardi4nfdi.de/wiki/Publication:4124027 Une caract�risation de la loi de Cauchy]
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