Jensen divergence based on Fisher’s information

DOI10.1088/1751-8113/45/12/125305zbMath1264.94080arXiv1012.5041OpenAlexW3100534003WikidataQ58363002 ScholiaQ58363002MaRDI QIDQ5388957

A. Zarzo, Pablo Sánchez-Moreno, Jesús S. Dehesera

Publication date: 24 April 2012

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

Full work available at URL: https://arxiv.org/abs/1012.5041

zbMATH Keywords

Fisher informationKullback-Leibler divergenceShannon entropyJensen-Shannon divergencegeneralized gamma probability densityJensen-Fisher divergenceRakhmanov-Hermit probability density

Mathematics Subject Classification ID

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

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Hellmann-Feynman connection for the relative Fisher information ⋮ A Jensen-Gini measure of divergence with application in parameter estimation ⋮ Generating function for generalized Fisher information measure and its application to finite mixture models ⋮ Legendre transform structure and extremal properties of the relative Fisher information ⋮ Jensen-Fisher information and Jensen-Shannon entropy measures based on complementary discrete distributions with an application to Conway's game of life ⋮ Fisher information and its extensions based on infinite mixture density functions ⋮ Fokker–Planck equations in the modeling of socio-economic phenomena ⋮ Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis ⋮ Cumulative past Fisher information measure and its extensions

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