On a (β, q)-generalized Fisher information and inequalities involving q-Gaussian distributions

DOI10.1063/1.4726197zbMath1278.82025arXiv1203.1435OpenAlexW3101287047MaRDI QIDQ2865448

J.-F. Bercher

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1435

zbMATH Keywords

Cramér-Rao inequalityFisher informationStam inequalityTsallis entropyRényi entropy\(q\)-Gaussian distributions

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Statistical thermodynamics (82B30)

Related Items (6)

On statistical properties of Jizba-Arimitsu hybrid entropy ⋮ Use of the geometric mean as a statistic for the scale of the coupled Gaussian distributions ⋮ Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle ⋮ Some properties of generalized Fisher information in the context of nonextensive thermostatistics ⋮ Rescaling the nonadditivity parameter in Tsallis thermostatistics ⋮ Cramér-Rao lower bounds arising from generalized Csiszár divergences

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