JOURNAL OF THE JAPAN STATISTICAL SOCIETY
Online ISSN : 1348-6365
Print ISSN : 1882-2754
ISSN-L : 1348-6365
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Characterizations of the Distributions of Power Inverse Gaussian and Others Based on the Entropy Maximization Principle
Toshihiko KawamuraKosei Iwase
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2003 Volume 33 Issue 1 Pages 95-104

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Abstract

This paper characterizes the distributions of power inverse Gaussian and others based on the entropy maximization principle (E.M.P.) and discuss the relationships of these distributions to the log-normal and the inverse Gaussian distributions. Moreover, the power Birnbaum-Saunders and the generalized Gumbel distribution are characterized under some constraints.

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© 2003 Japan Statistical Society
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