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Information 2010, 1(1), 13-27; doi:10.3390/info1010013

New Information Measures for the Generalized Normal Distribution

Department of Mathematics, Agiou Spyridonos & Palikaridi, Technological Educational Institute of Athens, 12210 Egaleo, Athens, Greece
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Received: 24 June 2010 / Revised: 4 August 2010 / Accepted: 5 August 2010 / Published: 20 August 2010
(This article belongs to the Special Issue What Is Information?)
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Abstract

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.
Keywords: entropy power; information measures; Kotz type distribution; Kullback-Leibler information entropy power; information measures; Kotz type distribution; Kullback-Leibler information
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Kitsos, C.P.; Toulias, T.L. New Information Measures for the Generalized Normal Distribution. Information 2010, 1, 13-27.

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