On the properties of the Generalized Normal Distribution

Thomas L. Toulias; Christos P. Kitsos

Discussiones Mathematicae Probability and Statistics (2014)

  • Volume: 34, Issue: 1-2, page 35-49
  • ISSN: 1509-9423

Abstract

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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.

How to cite

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Thomas L. Toulias, and Christos P. Kitsos. "On the properties of the Generalized Normal Distribution." Discussiones Mathematicae Probability and Statistics 34.1-2 (2014): 35-49. <http://eudml.org/doc/270912>.

@article{ThomasL2014,
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.},
author = {Thomas L. Toulias, Christos P. Kitsos},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {entropy type Fisher's information; Shannon entropy; Normal distribution; truncated distribution; entropy type Fisher's informaiton; normal distribution},
language = {eng},
number = {1-2},
pages = {35-49},
title = {On the properties of the Generalized Normal Distribution},
url = {http://eudml.org/doc/270912},
volume = {34},
year = {2014},
}

TY - JOUR
AU - Thomas L. Toulias
AU - Christos P. Kitsos
TI - On the properties of the Generalized Normal Distribution
JO - Discussiones Mathematicae Probability and Statistics
PY - 2014
VL - 34
IS - 1-2
SP - 35
EP - 49
AB - 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.
LA - eng
KW - entropy type Fisher's information; Shannon entropy; Normal distribution; truncated distribution; entropy type Fisher's informaiton; normal distribution
UR - http://eudml.org/doc/270912
ER -

References

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