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Characterization of the type of some generalizations of the cauchy distribution

Part of the Lecture Notes in Mathematics book series (LNM,volume 1379)

Abstract

Let G be a closed connected semisimple subgroup of SL(n,ℝ), and B=G/P where P is a parabolic subgroup of G. We define and characterize the type of a certain probability measure on B. The particular case where G=SL(n,ℝ) furnishes a characterization of various generalizations of the Cauchy distribution.

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© 1989 Springer-Verlag

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Dunau, JL., Senateur, H., Toulouse, I. (1989). Characterization of the type of some generalizations of the cauchy distribution. In: Heyer, H. (eds) Probability Measures on Groups IX. Lecture Notes in Mathematics, vol 1379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087845

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  • DOI: https://doi.org/10.1007/BFb0087845

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51401-5

  • Online ISBN: 978-3-540-46206-4

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