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MPS_N067.pdf (1.15 MB)

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Article

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Submitted version

Publication date

1989

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/151840

On Rao distance asymptotic distribution

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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.

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Preprint enviat per a la seva publicació en una revista científica.

Subject

Teoria de la informació, Anàlisi multivariable

Subject (English)

Universitat de Barcelona. Institut de Matemàtica

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Preprints de Matemàtiques - Mathematics Preprint Series

Citation

BURBEA, Jacob and OLLER I SALA, Josep Maria. On Rao distance asymptotic distribution. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/151840

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