A discrete version of the Stam inequality and a characterization of the Poisson distribution

DOI10.1016/S0378-3758(00)00158-0zbMath0964.62013OpenAlexW1987259402WikidataQ127975134 ScholiaQ127975134MaRDI QIDQ5929940

Abram M. Kagan

Publication date: 19 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00158-0

zbMATH Keywords

characterizationFisher informationPoisson distributionStam inequality

Mathematics Subject Classification ID

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

Related Items (4)

Some information theoretic ideas useful in statistical inference ⋮ On Two Forms of Fisher's Measure of Information ⋮ Some characterizations and properties of COM-Poisson random variables ⋮ Stam inequality on \(\mathbb Z_n\)

Cites Work

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• Natural exponential families with quadratic variance functions
• On the characterization of Fisher information and stability of the least favorable lattice distributions
• Linearity of posterior mean for location parameter families when sample size equals one
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• On a problem connected with quadratic regression

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