New Information Measures for the Generalized Normal Distribution

We introduce a three-parameter generalized normal distribution, which belongs to the Kotz type distribution family, to study the generalized entropy type measures of information. For this generalized normal, the Kullback-Leibler information is evaluated, which extends the well known result for the n...

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Bibliographic Details
Published inInformation (Basel) Vol. 1; no. 1; pp. 13 - 27
Main Authors Kitsos, Christos P., Toulias, Thomas L.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2010
Subjects
entropy power
information measures
Kotz type distribution
Kullback-Leibler information
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Summary:We introduce a three-parameter generalized normal distribution, which belongs to the Kotz type distribution family, to study the generalized entropy type measures of information. For this generalized normal, the Kullback-Leibler information is evaluated, which extends the well known result for the normal distribution, and plays an important role for the introduced generalized information measure. These generalized entropy type measures of information are also evaluated and presented.
ISSN:2078-2489
2078-2489
DOI:10.3390/info1010013