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On generalized Cramér–Rao inequalities, generalized Fisher information and characterizations of generalizedq-Gaussian distributions

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Publication:2901544
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DOI10.1088/1751-8113/45/25/255303zbMath1243.62015arXiv1206.0567OpenAlexW3126073095MaRDI QIDQ2901544

J.-F. Bercher

Publication date: 20 July 2012

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

Full work available at URL: https://arxiv.org/abs/1206.0567



Mathematics Subject Classification ID

Point estimation (62F10) Characterization and structure theory of statistical distributions (62E10) Statistical aspects of information-theoretic topics (62B10)


Related Items (4)

Maximum-likelihood \(q\)-estimator uncovers the role of potassium at neuromuscular junctions ⋮ 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 ⋮ Cramér-Rao lower bounds arising from generalized Csiszár divergences




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