Characterizations of the Distributions of Power Inverse Gaussian and Others Based on the Entropy Maximization Principle

Characterizations of the Distributions of Power Inverse Gaussian and Others Based on the Entropy Maximization Principle
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DOI:
10.14490/jjss.33.95
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发表时间:
2003-06
期刊:
Journal of the Japan Statistical Society. Japanese issue
影响因子:
--
通讯作者:
T. Kawamura;K. Iwase
T. Kawamura;K. Iwase
中科院分区:
其他
文献类型:
--
作者:
T. Kawamura;K. Iwase

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本文基于熵最大化原理(E. M. P.)并讨论了这些分布与对数正态分布和逆高斯分布的关系。此外,在一定的约束条件下,幂Birnbaum-Saunders和广义Gumbel分布的特征。
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.