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ArticleOriginal scientific text

Title

On the properties of the Generalized Normal Distribution

Authors 1, 1

Affiliations

  1. Technological Educational Institute of Athens, Informatics Department, Egaleo 12243, Athens, Greece

Abstract

The target of this paper is to provide a critical review and to enlarge the theory related to the Generalized Normal Distributions (GND). This three term (position, scale shape) distribution is based in a strong theoretical background due to Logarithm Sobolev Inequalities. Moreover, the GND is the appropriate one to support the Generalized entropy type Fisher's information measure.

Keywords

ENG
entropy type Fisher's information, Shannon entropy, Normal distribution, truncated distribution

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Discussiones Mathematicae Probability and Statistics
2014/34/1-2
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Pages:
35-49
Main language of publication
English
Received
2014-04-20
Accepted
2014-06-15
Published
2014

DOI: 10.7151/dmps1167

Exact and natural sciences