Complete monotonicity of the entropy in the central limit theorem for gamma and inverse Gaussian distributions

DOI10.1016/j.spl.2008.08.008zbMath1157.60018OpenAlexW1971974630MaRDI QIDQ1003435

Yaming Yu

Publication date: 4 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.spl.2008.08.008

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (1)

On the complete monotonicity of the compound geometric convolution with applications in risk theory

Cites Work

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• Entropy and the central limit theorem
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Generalized Entropy Power Inequalities and Monotonicity Properties of Information
• Solution of Shannon’s problem on the monotonicity of entropy
• The convolution inequality for entropy powers

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