Probability densities from distances and discrimination

C. M. Cuadras, R. A. Atkinson and J. Fortiana

Statistics & Probability Letters, 1997, vol. 33, issue 4, 405-411

Abstract: Given a population and a random vector X, by using distances between observations of X, we prove that it is, in general, possible to construct probability densities for X. This distance-based approach can present problems, from a multidimensional scaling point of view, for some monotonic density functions, where the construction must be made on the basis of symmetric functions instead of distances. A measure of divergence between the true density and this construction is given. The procedure aims to offer alternative methods for performing discriminant analysis.

Keywords: Constructing; densities; Discriminant; function; Multidimensional; scaling; Shannon; entropy (search for similar items in EconPapers)
Date: 1997
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