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The mean radius of curvature of an exponential family

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Publication:5956491
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DOI10.1016/S0167-7152(01)00135-3zbMath0987.62005MaRDI QIDQ5956491

Afif Masmoudi, Abdelhamid Hassairi

Publication date: 2 July 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

natural exponential familyvariance functionsupport functionalgebraic characteristic properties


Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)




Cites Work

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  • Natural real exponential families with cubic variance functions
  • A characterization of the Wishart exponential families by an invariance property
  • Natural exponential families with quadratic variance functions
  • The \(2d+4\) simple quadratic natural exponential families on \(\mathbb{R}^ d\)
  • The determination of convex bodies from their mean radius of curvature functions
  • Riesz exponential families on symmetric cones


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