An informational analog of the theorem of independence of sample mean and sample variance

DOI10.1007/BF01083644zbMath0642.62008OpenAlexW2085152171MaRDI QIDQ1101153

Zinoviy Landsman, Abram M. Kagan

Publication date: 1988

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01083644

zbMATH Keywords

characterizationFisher informationGaussian distributionnormal distributionsample variancegamma distributionlocationsample meanscale

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Statistical aspects of information-theoretic topics (62B10)

Cites Work

• On the characterization of the normal population by the independence of the sample mean and the sample variance
• The Admissibility of Pitman's Estimator of a Single Location Parameter
• Analyse générale des liaisons stochastiques: etude particulière de l'analyse factorielle linéaire
• A Characterization of the Gamma Distribution
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