Stam inequality on \(\mathbb Z_n\)

DOI10.1016/j.spl.2008.01.040zbMath1213.94057OpenAlexW2097084996MaRDI QIDQ947189

Paolo Gibilisco, Tommaso Isola, Daniele Imparato

Publication date: 29 September 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.01.040

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Cites Work

• Unnamed Item
• Superadditivity of Fisher's information and logarithmic Sobolev inequalities
• Log-concavity and the maximum entropy property of the Poisson distribution
• The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
• Some characteristic properties of the Fisher information matrix via Cacoullos-type inequalities
• Statistical meaning of Carlen's superadditivity of the Fisher information
• Cercignani's conjecture is sometimes true and always almost true
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Entropy and the Law of Small Numbers
• Generalized Entropy Power Inequalities and Monotonicity Properties of Information
• A proof of the Fisher information inequality via a data processing argument
• Binomial and Poisson distributions as maximum entropy distributions
• The convolution inequality for entropy powers
• A discrete version of the Stam inequality and a characterization of the Poisson distribution

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