Some Characterizations of the Bivariate Normal Distribution.
M. Ahsanullah (1985)
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Some Characterizations of the Bivariate Normal Distribution.
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MLE for the γ-order Generalized Normal Distribution
Christos P. Kitsos, Vassilios G. Vassiliadis, Thomas L. Toulias (2014)
Discussiones Mathematicae Probability and Statistics
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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...