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Estimation of entropy and other functionals of a multivariate density

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  • Harry Joe

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  • Harry Joe, 1989. "Estimation of entropy and other functionals of a multivariate density," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(4), pages 683-697, December.
    • Handle: RePEc:spr:aistmt:v:41:y:1989:i:4:p:683-697
    DOI: 10.1007/BF00057735
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    Cited by:

    1. Amato, Federico & Laib, Mohamed & Guignard, Fabian & Kanevski, Mikhail, 2020. "Analysis of air pollution time series using complexity-invariant distance and information measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Christophe Chesneau & Fabien Navarro & Oana Silvia Serea, 2017. "A note on the adaptive estimation of the di?erential entropy by wavelet methods," Working Papers 2017-69, Center for Research in Economics and Statistics.
    3. Hino, Hideitsu & Koshijima, Kensuke & Murata, Noboru, 2015. "Non-parametric entropy estimators based on simple linear regression," Computational Statistics & Data Analysis, Elsevier, vol. 89(C), pages 72-84.
    4. Jan G. De Gooijer & Ao Yuan, 2008. "MDL Mean Function Selection in Semiparametric Kernel Regression Models," Tinbergen Institute Discussion Papers 08-046/4, Tinbergen Institute.
    5. Ao Yuan, 2009. "Semiparametric inference with kernel likelihood," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(2), pages 207-228.
    6. Marrelec, Guillaume & Giron, Alain & Messio, Laura, 2021. "Exponential decay of pairwise correlation in Gaussian graphical models with an equicorrelational one-dimensional connection pattern," Statistics & Probability Letters, Elsevier, vol. 171(C).
    7. Mariano Matilla‐García & José Miguel Rodríguez & Manuel Ruiz Marín, 2010. "A symbolic test for testing independence between time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(2), pages 76-85, March.
    8. Asok K. Nanda & Shovan Chowdhury, 2021. "Shannon's Entropy and Its Generalisations Towards Statistical Inference in Last Seven Decades," International Statistical Review, International Statistical Institute, vol. 89(1), pages 167-185, April.
    9. Kojadinovic, Ivan, 2005. "Relevance measures for subset variable selection in regression problems based on k-additive mutual information," Computational Statistics & Data Analysis, Elsevier, vol. 49(4), pages 1205-1227, June.
    10. Gaißer, Sandra & Ruppert, Martin & Schmid, Friedrich, 2010. "A multivariate version of Hoeffding's Phi-Square," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2571-2586, November.
    11. Astrid Jourdan, 2024. "Space-filling designs with a Dirichlet distribution for mixture experiments," Statistical Papers, Springer, vol. 65(5), pages 2667-2686, July.
    12. Herrera Gómez, Marcos, 2010. "Causalidad Espacial. Enfoque No Paramétrico [Spatial Causality. Non-Parametric Approach]," MPRA Paper 61326, University Library of Munich, Germany.
    13. Yongmiao Hong & Xia Wang & Wenjie Zhang & Shouyang Wang, 2017. "An efficient integrated nonparametric entropy estimator of serial dependence," Econometric Reviews, Taylor & Francis Journals, vol. 36(6-9), pages 728-780, October.
    14. López, Fernando & Matilla-García, Mariano & Mur, Jesús & Marín, Manuel Ruiz, 2010. "A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 106-115, May.
    15. Beknazaryan, Aleksandr & Dang, Xin & Sang, Hailin, 2019. "On mutual information estimation for mixed-pair random variables," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 9-16.
    16. Ao Yuan & Jan G. De Gooijer, 2007. "Semiparametric Regression with Kernel Error Model," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(4), pages 841-869, December.
    17. Ashis K. Gangopadhyay & Robert disario & Dipak K. Dey, 1997. "A nonparametric approach to k-sample inference based on entropy-super-," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 8(3), pages 237-252, September.
    18. Herrera Gómez, Marcos & Ruiz Marín, Manuel & Mur Lacambra, Jesús & Paelinck, Jean, 2010. "A Non-Parametric Approach to Spatial Causality," MPRA Paper 36768, University Library of Munich, Germany.
    19. Kojadinovic, Ivan, 2004. "Agglomerative hierarchical clustering of continuous variables based on mutual information," Computational Statistics & Data Analysis, Elsevier, vol. 46(2), pages 269-294, June.
    20. Virginia Lacal & Dag TjØstheim, 2017. "Local Gaussian Autocorrelation and Tests for Serial Independence," Journal of Time Series Analysis, Wiley Blackwell, vol. 38(1), pages 51-71, January.
    21. Matilla-Garci­a, Mariano & Ruiz Mari­n, Manuel, 2008. "A non-parametric independence test using permutation entropy," Journal of Econometrics, Elsevier, vol. 144(1), pages 139-155, May.

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