Convergence of best phi -entropy estimates

DOI10.1109/18.179378zbMath0765.94001OpenAlexW2013144641MaRDI QIDQ4034473

Igor Vajda, Marc Teboulle

Publication date: 16 May 1993

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.179378

zbMATH Keywords

convex optimizationnorm convergencemaximum entropy methodsBoltzmann-Shannon entropyentropy functionalsset- convergence

Mathematics Subject Classification ID

Measures of information, entropy (94A17)

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Generalized projections for non-negative functions ⋮ Uniform convergence for moment problems with Fermi-Dirac type entropies ⋮ Formulas for Rényi information and related measures for univariate distributions. ⋮ Minimization of entropy functionals ⋮ An estimation method for the Neyman chi-square divergence with application to test of hypoth\-e\-ses ⋮ A refined Jensen's inequality in Hilbert spaces and empirical approximations ⋮ A chi-square-type test for covariances ⋮ Unnamed Item ⋮ On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems

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