On the properties of the Generalized Normal Distribution
Thomas L. Toulias, Christos P. Kitsos (2014)
Discussiones Mathematicae Probability and Statistics
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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.