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 | |
|
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) |
| _version_ | 1807522796030394368 |
|---|---|
| author | Fraiman, Ricardo |
| author2 | Moreno, Leonardo Ransford, Thomas |
| author2_role | author author |
| author_facet | Fraiman, Ricardo Moreno, Leonardo Ransford, Thomas |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Fraiman Ricardo, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. Moreno Leonardo, Universidad de la República (Uruguay). FCEA Ransford Thomas, Université Laval |
| dc.creator.none.fl_str_mv | Fraiman, Ricardo Moreno, Leonardo Ransford, Thomas |
| dc.date.accessioned.none.fl_str_mv | 2023-06-02T14:33:11Z |
| dc.date.available.none.fl_str_mv | 2023-06-02T14:33:11Z |
| dc.date.issued.none.fl_str_mv | 2023 |
| dc.description.abstract.none.fl_txt_mv | 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. |
| dc.description.es.fl_txt_mv | Publicado también en: Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023, 85(2): 293-314. DOI: 10.1093/jrsssb/qkad003 |
| dc.description.sponsorship.none.fl_txt_mv | ANII: FCE_1_2019_1_156054 |
| dc.format.extent.es.fl_str_mv | 29 h |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | 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. |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2201.07628 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/37379 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Probability), arXiv:2201.07628, Mar 2023 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Classification Discrete tomography Heppes theorem Multivariate Bernoulli Random projections Testing hypothesis |
| dc.title.none.fl_str_mv | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Publicado también en: Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023, 85(2): 293-314. DOI: 10.1093/jrsssb/qkad003 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_c63b5a48de6d3fb06163c5a9e9bccd60 |
| identifier_str_mv | 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. 10.48550/arXiv.2201.07628 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/37379 |
| publishDate | 2023 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Fraiman Ricardo, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.Moreno Leonardo, Universidad de la República (Uruguay). FCEARansford Thomas, Université Laval2023-06-02T14:33:11Z2023-06-02T14:33:11Z2023Fraiman, 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.https://hdl.handle.net/20.500.12008/3737910.48550/arXiv.2201.07628Publicado también en: Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023, 85(2): 293-314. DOI: 10.1093/jrsssb/qkad003Using 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.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-06-02T13:45:24Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2201.07628.pdf: 1894478 bytes, checksum: b9767e6479bcfd22cc3625a9497712b0 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-06-02T13:59:58Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2201.07628.pdf: 1894478 bytes, checksum: b9767e6479bcfd22cc3625a9497712b0 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-06-02T14:33:11Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2201.07628.pdf: 1894478 bytes, checksum: b9767e6479bcfd22cc3625a9497712b0 (MD5) Previous issue date: 2023ANII: FCE_1_2019_1_15605429 happlication/pdfenengMathematics (Probability), arXiv:2201.07628, Mar 2023Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)ClassificationDiscrete tomographyHeppes theoremMultivariate BernoulliRandom projectionsTesting hypothesisA quantitative Heppes Theorem and multivariate Bernoulli distributionsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaFraiman, RicardoMoreno, LeonardoRansford, ThomasLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/37379/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/37379/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | A quantitative Heppes Theorem and multivariate Bernoulli distributions Fraiman, Ricardo Classification Discrete tomography Heppes theorem Multivariate Bernoulli Random projections Testing hypothesis |
| status_str | submittedVersion |
| title | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| title_full | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| title_fullStr | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| title_full_unstemmed | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| title_short | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| title_sort | A quantitative Heppes Theorem and multivariate Bernoulli distributions |
| topic | Classification Discrete tomography Heppes theorem Multivariate Bernoulli Random projections Testing hypothesis |
| url | https://hdl.handle.net/20.500.12008/37379 |
