Asymptotic distribution of Matusita's distance : application to the location model

The extension of Mahalanobis's distance to the case of a mixture of discrete and continuous variables is useful in many applications of discriminant analysis. In this note, the asymptotic chisquared distribution of the estimator of Matusita's distance under the null hypothesis is obtained and the rate of convergence is evaluated through simulations in the case of the location model.

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Bibliographic Details
Main Authors: Bar-Hen, Avner, Daudin, J.J.
Format: article biblioteca
Language:eng
Subjects:U10 - Informatique, mathématiques et statistiques, analyse de données, méthode statistique, modèle mathématique, simulation, biométrie, http://aims.fao.org/aos/agrovoc/c_15962, http://aims.fao.org/aos/agrovoc/c_7377, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_5209, http://aims.fao.org/aos/agrovoc/c_927,
Online Access:http://agritrop.cirad.fr/390564/
http://agritrop.cirad.fr/390564/1/390564.pdf
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Summary:The extension of Mahalanobis's distance to the case of a mixture of discrete and continuous variables is useful in many applications of discriminant analysis. In this note, the asymptotic chisquared distribution of the estimator of Matusita's distance under the null hypothesis is obtained and the rate of convergence is evaluated through simulations in the case of the location model.