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A decomposition for the exponential dispersion model generated by the invariance measure on the hyperboloid

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Publication:1322505
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DOI10.1007/BF01049176zbMath0798.60014OpenAlexW2059655303MaRDI QIDQ1322505

Hélène Massam, Gérard Letac, Muriel Casalis

Publication date: 9 June 1994

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01049176


zbMATH Keywords

Laplace transformdecomposition of the exponential dispersion model


Mathematics Subject Classification ID

Probability distributions: general theory (60E05)


Related Items (1)

Characterization of the Jørgensen set in generalized linear models



Cites Work

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  • Reproductive exponential families
  • An exponential subfamily which admits UMPU tests based on a single test statistic
  • Decomposition and invariance of measures, and statistical transformation models
  • An exact decomposition theorem and a unified view of some related distributions for a class of exponential transformation models on symmetric cones
  • Statistical Properties of Inverse Gaussian Distributions. I


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