A quantitative Heppes Theorem and multivariate Bernoulli distributions
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.
| 2023 | |
| ANII: FCE_1_2019_1_156054 | |
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Classification Discrete tomography Heppes theorem Multivariate Bernoulli Random projections Testing hypothesis |
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| 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) |
| Sumario: | Publicado también en: Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023, 85(2): 293-314. DOI: 10.1093/jrsssb/qkad003 |
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