A characterization of the multivariate normal distribution
نویسندگان
چکیده
منابع مشابه
A Characterization of the Multivariate Normal Distribution by Using the Hazard Gradient
A b s t r a c t . We give a general result to characterize a multivariate distribution from a relationship between the left truncated mean function and the hazard gradient function. This result allows us to obtain new characterizations of multivariate distributions. In particular, we show that, for the multivariate normal distribution, the simple relationship, obtained in standardized form by M...
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1 General case 1.1 Cumulative distribution function 1.2 A counterexample 1.3 Normally distributed and independent 2 Bivariate case 3 Affine transformation 4 Geometric interpretation 5 Correlations and independence 6 Higher moments 7 Conditional distributions 8 Fisher information matrix 9 Kullback-Leibler divergence 10 Estimation of parameters 11 Entropy 12 Multivariate normality tests 13 Drawin...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 1978
ISSN: 0047-259X
DOI: 10.1016/0047-259x(78)90076-3