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On the UMVU estimator for the generalized variance of the multinomial family

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Publication:5077956
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DOI10.1080/03610926.2018.1520888OpenAlexW2904985886MaRDI QIDQ5077956

Abdelaziz Ghribi

Publication date: 20 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2018.1520888

zbMATH Keywords

UMVU estimatormaximum likelihood estimatorgeneralized variancemultinomial familyLehmann-Scheffé theorem


Mathematics Subject Classification ID

Statistics (62-XX)




Cites Work

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  • On the Monge-Ampère equation for characterizing gamma-Gaussian model
  • Natural real exponential families with cubic variance functions
  • Conditional natural exponential families
  • A characterization of Poisson-Gaussian families by generalized variance
  • Characterization of multinomial exponential families by generalized variance
  • Natural exponential families with quadratic variance functions
  • On the determinant of the second derivative of a Laplace transform
  • Estimateurs de la variance généralisée pour des familles exponentielles non gaussiennes
  • Information and Exponential Families
  • Comparing UMVU and ML estimators of the generalized variance for natural exponential families
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