Shannon Entropy Estimation in ∞-Alphabets from Convergence Results: Studying Plug-In Estimators

Shannon Entropy Estimation in ∞-Alphabets from Convergence Results: Studying Plug-In Estimators

This work addresses the problem of Shannon entropy estimation in countably infinite alphabets studying and adopting some recent convergence results of the entropy functional, which is known to be a discontinuous function in the space of probabilities in ∞-alphabets. Sufficient conditions f...

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Bibliographic Details
Main Author: Jorge F. Silva
Format: Article
Language:English
Published: MDPI AG 2018-05-01
Series:Entropy
Subjects:
Shannon entropy estimation
countably infinite alphabets
entropy convergence results
statistical learning
histogram-based estimators
data-driven partitions
strong consistency
rates of convergence
Online Access:http://www.mdpi.com/1099-4300/20/6/397

Internet

http://www.mdpi.com/1099-4300/20/6/397

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