Normal Laws for Two Entropy Estimators on Infinite Alphabets

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.

Detalles Bibliográficos
Autores principales: Chen, Chen, Grabchak, Michael, Stewart, Ann, Zhang, Jialin, Zhang, Zhiyi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512892/
https://www.ncbi.nlm.nih.gov/pubmed/33265461
http://dx.doi.org/10.3390/e20050371
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author Chen, Chen
Grabchak, Michael
Stewart, Ann
Zhang, Jialin
Zhang, Zhiyi
author_facet Chen, Chen
Grabchak, Michael
Stewart, Ann
Zhang, Jialin
Zhang, Zhiyi
author_sort Chen, Chen
collection PubMed
description 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.
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spelling pubmed-75128922020-11-09 Normal Laws for Two Entropy Estimators on Infinite Alphabets Chen, Chen Grabchak, Michael Stewart, Ann Zhang, Jialin Zhang, Zhiyi Entropy (Basel) Article 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. MDPI 2018-05-17 /pmc/articles/PMC7512892/ /pubmed/33265461 http://dx.doi.org/10.3390/e20050371 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Chen, Chen
Grabchak, Michael
Stewart, Ann
Zhang, Jialin
Zhang, Zhiyi
Normal Laws for Two Entropy Estimators on Infinite Alphabets
title Normal Laws for Two Entropy Estimators on Infinite Alphabets
title_full Normal Laws for Two Entropy Estimators on Infinite Alphabets
title_fullStr Normal Laws for Two Entropy Estimators on Infinite Alphabets
title_full_unstemmed Normal Laws for Two Entropy Estimators on Infinite Alphabets
title_short Normal Laws for Two Entropy Estimators on Infinite Alphabets
title_sort normal laws for two entropy estimators on infinite alphabets
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512892/
https://www.ncbi.nlm.nih.gov/pubmed/33265461
http://dx.doi.org/10.3390/e20050371
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AT stewartann normallawsfortwoentropyestimatorsoninfinitealphabets
AT zhangjialin normallawsfortwoentropyestimatorsoninfinitealphabets
AT zhangzhiyi normallawsfortwoentropyestimatorsoninfinitealphabets

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