A Characterization of the Compound Multiparameter Hermite Gamma Distribution via Gauss’s Principle

We consider the class of those distributions that satisfy Gauss's principle (the maximum likelihood estimator of the mean is the sample mean) and have a parameter orthogonal to the mean. It is shown that this so-called “mean orthogonal class” is closed under convolution. A previous characteriza...

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Bibliographic Details
Main Author: Werner Hürlimann
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/468418
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