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Title: On Rao distance asymptotic distribution
Author: Burbea, Jacob
Oller i Sala, Josep Maria
Keywords: Teoria de la informació
Anàlisi multivariable
Universitat de Barcelona. Institut de Matemàtica
Issue Date: 1989
Publisher: Universitat de Barcelona
Series/Report no: Mathematics Preprint Series; 67
Abstract: This paper is concerned with the study of the asymptotic properties of Rao distance maximum-likelihood estimation obtained from two independent samples of two statistical populations, under certain regularity conditions. These results allow the construction, by meaos of the Rao distance, of a statistical test to compare different populations, which may be regarded as an alternative to the standard likelihood ratio test. Furthermore, a geometrical model is supplied which can be used to obtain graphical outputs through numerical taxonomy methods or multidimensional scaling techniques. Finally, sorne of the previously-mentioned methods are illustrated by meaos of a specific example based on the univariate normal distribution.
Note: Preprint enviat per a la seva publicació en una revista científica.
Note: Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.7]
Appears in Collections:Preprints de Matemàtiques - Mathematics Preprint Series

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