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Entropy 2018, 20(5), 371; https://doi.org/10.3390/e20050371

Normal Laws for Two Entropy Estimators on Infinite Alphabets

Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
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Received: 3 April 2018 / Revised: 9 May 2018 / Accepted: 10 May 2018 / Published: 17 May 2018
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Abstract

This paper offers sufficient conditions for the Miller–Madow estimator and the jackknife estimator of entropy to have respective asymptotic normalities on countably infinite alphabets. View Full-Text
Keywords: entropy; nonparametric estimator; Miller–Madow estimator; jackknife estimator; asymptotic normality entropy; nonparametric estimator; Miller–Madow estimator; jackknife estimator; asymptotic normality
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Chen, C.; Grabchak, M.; Stewart, A.; Zhang, J.; Zhang, Z. Normal Laws for Two Entropy Estimators on Infinite Alphabets. Entropy 2018, 20, 371.

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