Nearest neighbor estimates of entropy for multivariate circular distributions

DOI10.3390/e12051125zbMath1229.62037OpenAlexW2071875548WikidataQ23918836 ScholiaQ23918836MaRDI QIDQ653382

Harshinder Singh, Neeraj Misra, Vladimir Hnizdo

Publication date: 9 January 2012

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e12051125

zbMATH Keywords

molecular simulationdifferential entropynearest neighborcircular distancenon-parametric estimationcircular random variables

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Nonparametric estimation (62G05) Monte Carlo methods (65C05) Biochemistry, molecular biology (92C40) Statistical aspects of information-theoretic topics (62B10)

Related Items (4)

\(K\)-nearest neighbor based consistent entropy estimation for hyperspherical distributions ⋮ ESTIMATION OF MULTIVARIATE SHANNON ENTROPY USING MOMENTS ⋮ A novel nonparametric distance estimator for densities with error bounds ⋮ The entropy based goodness of fit tests for generalized von Mises-Fisher distributions and beyond

Cites Work

• \(k_n\)-nearest neighbor estimators of entropy
• Sample estimate of the entropy of a random vector
• Estimation of the entropy of a multivariate normal distribution
• A multivariate von mises distribution with applications to bioinformatics
• An Algorithm for Finding Best Matches in Logarithmic Expected Time
• Probabilistic model for two dependent circular variables
• A new class of random vector entropy estimators and its applications in testing statistical hypotheses
• A Nonparametric Estimate of a Multivariate Density Function
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