Normal Laws for Two Entropy Estimators on Infinite Alphabets

Chen Chen; Michael Grabchak; Ann Stewart; Jialin Zhang; Zhiyi Zhang

doi:10.3390/e20050371

Entropy (May 2018)

Normal Laws for Two Entropy Estimators on Infinite Alphabets

Chen Chen,
Michael Grabchak,
Ann Stewart,
Jialin Zhang,
Zhiyi Zhang

Affiliations

Chen Chen: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Michael Grabchak: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Ann Stewart: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Jialin Zhang: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Zhiyi Zhang: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA

DOI: https://doi.org/10.3390/e20050371
Journal volume & issue: Vol. 20, no. 5
p. 371

Abstract

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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.

Published in Entropy

ISSN: 1099-4300 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Astronomy: Astrophysics; Science: Physics
Website: http://www.mdpi.com/journal/entropy

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