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MLE for the γ-order Generalized Normal Distribution

Christos P. KitsosVassilios G. VassiliadisThomas L. Toulias — 2014

Discussiones Mathematicae Probability and Statistics

The introduced three parameter (position μ, scale ∑ and shape γ) multivariate generalized Normal distribution (γ-GND) is based on a strong theoretical background and emerged from Logarithmic Sobolev Inequalities. It includes a number of well known distributions such as the multivariate Uniform, Normal, Laplace and the degenerated Dirac distributions. In this paper, the cumulative distribution, the truncated distribution and the hazard rate of the γ-GND are presented. In addition, the Maximum Likelihood...

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