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| Título: | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| Autor: | Fraiman, Ricardo Moreno, Leonardo Ransford, Thomas |
| Tipo: | Preprint |
| Palabras clave: | Classification, Discrete tomography, Heppes theorem, Multivariate Bernoulli, Random projections, Testing hypothesis |
| Fecha de publicación: | 2023 |
| 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. |
| Descripción: | Publicado también en: Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023, 85(2): 293-314. DOI: 10.1093/jrsssb/qkad003 |
| EN: | Mathematics (Probability), arXiv:2201.07628, Mar 2023 |
| Financiadores: | ANII: FCE_1_2019_1_156054 |
| DOI: | 10.48550/arXiv.2201.07628 |
| Citación: | Fraiman, R, Moreno, L y Ransford, T. "A quantitative Heppes Theorem and multivariate Bernoulli distributions". [Preprint] Publicado en: Mathematics (Probability). 2023, arXiv:2201.07628, Mar 2023. 29 h. |
| Licencia: | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Aparece en las colecciones: | Publicaciones académicas y científicas - Facultad de Ciencias |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2201.07628.pdf | Preprint | 1,85 MB | Adobe PDF | Visualizar/Abrir |
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