Extremal versus additive Matérn point processes
Resumen:
In the simplest Matérn point processes one retains certain points of a Poisson point process in such a way that no pairs of points are at distance less than a threshold. This condition can be reinterpreted as a threshold condition on an extremal shot noise field associated with the Poisson point process. This paper is focused on the case where one retains points that satisfy a threshold condition based on an additive shot noise field of the Poisson point process. We provide an analytical characterization of the intensity of this class of point processes and we compare the packing obtained by the extremal and additive schemes and certain combinations thereof.
| 2012 | |
| Telecomunicaciones | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/41125 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522937046040576 |
|---|---|
| author | Baccelli, Francois |
| author2 | Bermolen, Paola |
| author2_role | author |
| author_facet | Baccelli, Francois Bermolen, Paola |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Baccelli, Francois Bermolen, Paola |
| dc.date.accessioned.none.fl_str_mv | 2023-11-14T17:04:24Z |
| dc.date.available.none.fl_str_mv | 2023-11-14T17:04:24Z |
| dc.date.issued.es.fl_str_mv | 2012 |
| dc.date.submitted.es.fl_str_mv | 20231114 |
| dc.description.abstract.none.fl_txt_mv | In the simplest Matérn point processes one retains certain points of a Poisson point process in such a way that no pairs of points are at distance less than a threshold. This condition can be reinterpreted as a threshold condition on an extremal shot noise field associated with the Poisson point process. This paper is focused on the case where one retains points that satisfy a threshold condition based on an additive shot noise field of the Poisson point process. We provide an analytical characterization of the intensity of this class of point processes and we compare the packing obtained by the extremal and additive schemes and certain combinations thereof. |
| dc.identifier.citation.es.fl_str_mv | Baccelli, F, Bermolen, P. “Extremal versus additive Matérn point processes”. [Preprint] Publicado en: Queueing Systems, 2012 71, 179–197. https://doi.org/10.1007/s11134-012-9280-3 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/41125 |
| dc.language.iso.none.fl_str_mv | en eng |
| 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.other.es.fl_str_mv | Telecomunicaciones |
| dc.title.none.fl_str_mv | Extremal versus additive Matérn point processes |
| 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 | In the simplest Matérn point processes one retains certain points of a Poisson point process in such a way that no pairs of points are at distance less than a threshold. This condition can be reinterpreted as a threshold condition on an extremal shot noise field associated with the Poisson point process. This paper is focused on the case where one retains points that satisfy a threshold condition based on an additive shot noise field of the Poisson point process. We provide an analytical characterization of the intensity of this class of point processes and we compare the packing obtained by the extremal and additive schemes and certain combinations thereof. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_7bc50b7ed9234fe05c942a54d6559687 |
| identifier_str_mv | Baccelli, F, Bermolen, P. “Extremal versus additive Matérn point processes”. [Preprint] Publicado en: Queueing Systems, 2012 71, 179–197. https://doi.org/10.1007/s11134-012-9280-3 |
| 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:20.500.12008/41125 |
| publishDate | 2012 |
| 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 | 2023-11-14T17:04:24Z2023-11-14T17:04:24Z201220231114Baccelli, F, Bermolen, P. “Extremal versus additive Matérn point processes”. [Preprint] Publicado en: Queueing Systems, 2012 71, 179–197. https://doi.org/10.1007/s11134-012-9280-3https://hdl.handle.net/20.500.12008/41125In the simplest Matérn point processes one retains certain points of a Poisson point process in such a way that no pairs of points are at distance less than a threshold. This condition can be reinterpreted as a threshold condition on an extremal shot noise field associated with the Poisson point process. This paper is focused on the case where one retains points that satisfy a threshold condition based on an additive shot noise field of the Poisson point process. We provide an analytical characterization of the intensity of this class of point processes and we compare the packing obtained by the extremal and additive schemes and certain combinations thereof.Made available in DSpace on 2023-11-14T17:04:24Z (GMT). No. of bitstreams: 5 BB12.pdf: 145192 bytes, checksum: 95c01b9d68d66bafc91d7be6a6fa020a (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 2012enengLas 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)TelecomunicacionesExtremal versus additive Matérn point processesPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaBaccelli, FrancoisBermolen, PaolaTelecomunicacionesAnálisis de Redes, Tráfico y Estadísticas de 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- Universidad de la Repúblicafalse |
| spellingShingle | Extremal versus additive Matérn point processes Baccelli, Francois Telecomunicaciones |
| status_str | submittedVersion |
| title | Extremal versus additive Matérn point processes |
| title_full | Extremal versus additive Matérn point processes |
| title_fullStr | Extremal versus additive Matérn point processes |
| title_full_unstemmed | Extremal versus additive Matérn point processes |
| title_short | Extremal versus additive Matérn point processes |
| title_sort | Extremal versus additive Matérn point processes |
| topic | Telecomunicaciones |
| url | https://hdl.handle.net/20.500.12008/41125 |
