A quantitative Heppes Theorem and multivariate Bernoulli distributions

Fraiman, Ricardo - Moreno, Leonardo - Ransford, Thomas

Resumen:

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.


Detalles Bibliográficos
2023
ANII: FCE_1_2019_1_156054
Classification
Discrete tomography
Heppes theorem
Multivariate Bernoulli
Random projections
Testing hypothesis
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/37379
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)