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A generalization of Poincaré's characterization of exponential families

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Publication:1372399
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DOI10.1016/S0378-3758(95)00007-0zbMath0884.62016MaRDI QIDQ1372399

Lennart Bondesson

Publication date: 5 April 1998

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)


zbMATH Keywords

maximum likelihood estimatorexponential familyCramer-Rao boundcomplete sufficient statistic


Mathematics Subject Classification ID

Point estimation (62F10) Characterization and structure theory of statistical distributions (62E10)


Related Items (3)

A characterization of the compound multiparameter Hermite gamma distribution via Gauss's principle ⋮ A note on the harmonic law: a two-parameter family of distributions for ratios ⋮ Maximum likelihood characterization of distributions



Cites Work

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  • Die Charakterisierung der Normalverteilung nach Gauss
  • Maximum Likelihood Characterization of Distributions
  • Location and Scale Parameters in Exponential Families of Distributions
  • Equivalence of Gauss's Principle and Minimum Discrimination Information Estimation of Probabilities
  • Characterizations of the Normal and the Gamma distributions


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