Characterizations of the Distributions of Power Inverse Gaussian and Others Based on the Entropy Maximization Principle
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Publication:4434186
DOI10.14490/jjss.33.95zbMath1023.62012OpenAlexW1984310676MaRDI QIDQ4434186
Toshihiko Kawamura, Kōsei Iwase
Publication date: 4 November 2003
Published in: JOURNAL OF THE JAPAN STATISTICAL SOCIETY (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.14490/jjss.33.95
entropy maximization principlepower inverse Gaussian distributiongeneralized Gumbel distributionpower Birnbaum-Saunders distribution
Characterization and structure theory of statistical distributions (62E10) Statistical aspects of information-theoretic topics (62B10)
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Derivation of the Power and Generalized Inverse Gaussian Distributions Based on the Entropy Maximization Principle ⋮ Nonparametric density estimation for nonnegative data, using symmetrical-based inverse and reciprocal inverse Gaussian kernels through dual transformation ⋮ Probability distributions conditioned by the available information: Gamma distribution and moments ⋮ A class of Birnbaum-Saunders type kernel density estimators for nonnegative data ⋮ On free generalized inverse Gaussian distributions ⋮ Characterizations of GIG laws: a survey
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