Título:
A quantitative Heppes Theorem and multivariate Bernoulli distributions
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Autor:
Fraiman, Ricardo
Moreno, Leonardo
Ransford, Thomas
Moreno, Leonardo
Ransford, Thomas
Tutor:
Tipo de documento:
Preprint
Editor:
Palabras clave:
Classification
Discrete tomography
Heppes theorem
Multivariate Bernoulli
Random projections
Testing hypothesis
Discrete tomography
Heppes theorem
Multivariate Bernoulli
Random projections
Testing hypothesis
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Año de publicación:
2023
Contenido:
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.
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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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EN:
Mathematics (Probability), arXiv:2201.07628, Mar 2023
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ANII: FCE_1_2019_1_156054
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.
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Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2201.07628.pdf | Preprint | 1.81 MB | Adobe PDF |