A quantitative Heppes theorem and multivariate Bernoulli distributions-Reference-Cited by-同舟云学术

A quantitative Heppes theorem and multivariate Bernoulli distributions

Published:2023-02-22 Issue:2 Volume:85 Page:293-314
ISSN:1369-7412
Container-title:Journal of the Royal Statistical Society Series B: Statistical Methodology
language:en
Short-container-title:

Author:

Fraiman Ricardo¹,Moreno Leonardo²,Ransford Thomas³

Affiliation:

1. Centro de Matemática, Facultad de Ciencias, Universidad de la República , Montevideo , Uruguay

2. Instituto de Estadística, Departamento de Métodos Cuantitativos, FCEA, Universidad de la República , Montevideo , Uruguay

3. Département de mathématiques et de statistique, Université Laval , Québec City (Québec), G1V 0A6 , Canada

Abstract

Abstract Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testing based on projections. In particular, when the support of the distributions is known in advance (as for instance for multivariate Bernoulli distributions), a single suitably chosen projection determines the distribution. Several applications of these results are considered.

Funder

Agencia Nacional de Investigación e Innovación

NSERC

Publisher

Oxford University Press (OUP)

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Link

https://academic.oup.com/jrsssb/article-pdf/85/2/293/50204655/qkad003.pdf

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