Estimation of an entropy-based functional

DOI10.3390/e12030338zbMath1229.94036OpenAlexW2105342380MaRDI QIDQ653353

Brian N. Maurizi

Publication date: 9 January 2012

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e12030338

zbMATH Keywords

entropynonlinear functionalsignal processingShannon entropydifferential entropyentropy estimation

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Measures of information, entropy (94A17) Applications of functional analysis in probability theory and statistics (46N30) Statistical aspects of information-theoretic topics (62B10)

Cites Work

• Estimation of entropy and other functionals of a multivariate density
• A class of Rényi information estimators for multidimensional densities
• Density-free convergence properties of various estimators of entropy
• On the estimation of entropy
• On the dimension and entropy of probability distributions
• Convergence of Differential Entropies
• Estimation of the entropy and information of absolutely continuous random variables
• On the Estimation of Functionals of the Probability Density and Its Derivatives
• A nonparametric estimation of the entropy for absolutely continuous distributions (Corresp.)
• A new class of random vector entropy estimators and its applications in testing statistical hypotheses
• Best asymptotic normality of the kernel density entropy estimator for smooth densities
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