On Joint and Conditional Entropies

It is shown that if the conditional densities of a bivariate random variable have maximum entropies, subject to certain constraints, then the bivariate density also maximizes entropy, subject to appropriate constraints. Some examples are discussed.

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Bibliographic Details
Published in	Entropy (Basel, Switzerland) Vol. 1; no. 2; pp. 21 - 24
Main Author	Gokhale, D. V.
Format	Journal Article
Language	English
Published	Basel MDPI AG 01.06.1999
Subjects	joint and conditional entropies maximum entropy subject to constraints
Online Access	Get full text

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Summary:	It is shown that if the conditional densities of a bivariate random variable have maximum entropies, subject to certain constraints, then the bivariate density also maximizes entropy, subject to appropriate constraints. Some examples are discussed.
ISSN:	1099-4300 1099-4300
DOI:	10.3390/e1020021