Calculation of Differential Entropy for a Mixed Gaussian Distribution

In this work, an analytical expression is developed for the differential entropy of a mixed Gaussian distribution. One of the terms is given by a tabulated function of the ratio of the distribution parameters.

Bibliographic Details
Main Authors: Frank Bucholtz, Jonathan M. Nichols, Joseph V. Michalowicz
Format: Article
Language:English
Published: MDPI AG 2008-08-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/10/3/200/
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spelling doaj-cb882c06ac204aae938f3d32f91a9dce2020-11-24T21:13:26ZengMDPI AGEntropy1099-43002008-08-0110320020610.3390/entropy-e10030200Calculation of Differential Entropy for a Mixed Gaussian DistributionFrank BucholtzJonathan M. NicholsJoseph V. MichalowiczIn this work, an analytical expression is developed for the differential entropy of a mixed Gaussian distribution. One of the terms is given by a tabulated function of the ratio of the distribution parameters.http://www.mdpi.com/1099-4300/10/3/200/Mixed-Gaussianentropydistribution
collection DOAJ
language English
format Article
sources DOAJ
author Frank Bucholtz
Jonathan M. Nichols
Joseph V. Michalowicz
spellingShingle Frank Bucholtz
Jonathan M. Nichols
Joseph V. Michalowicz
Calculation of Differential Entropy for a Mixed Gaussian Distribution
Entropy
Mixed-Gaussian
entropy
distribution
author_facet Frank Bucholtz
Jonathan M. Nichols
Joseph V. Michalowicz
author_sort Frank Bucholtz
title Calculation of Differential Entropy for a Mixed Gaussian Distribution
title_short Calculation of Differential Entropy for a Mixed Gaussian Distribution
title_full Calculation of Differential Entropy for a Mixed Gaussian Distribution
title_fullStr Calculation of Differential Entropy for a Mixed Gaussian Distribution
title_full_unstemmed Calculation of Differential Entropy for a Mixed Gaussian Distribution
title_sort calculation of differential entropy for a mixed gaussian distribution
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2008-08-01
description In this work, an analytical expression is developed for the differential entropy of a mixed Gaussian distribution. One of the terms is given by a tabulated function of the ratio of the distribution parameters.
topic Mixed-Gaussian
entropy
distribution
url http://www.mdpi.com/1099-4300/10/3/200/
work_keys_str_mv AT frankbucholtz calculationofdifferentialentropyforamixedgaussiandistribution
AT jonathanmnichols calculationofdifferentialentropyforamixedgaussiandistribution
AT josephvmichalowicz calculationofdifferentialentropyforamixedgaussiandistribution
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