Show simple item record

dc.contributor.authorArias Castro, Ery
dc.contributor.authorRodríguez Casal, Alberto
dc.date.accessioned2019-04-15T07:30:13Z
dc.date.available2019-04-15T07:30:13Z
dc.date.issued2017
dc.identifier.citationArias-Castro, Ery; Rodríguez-Casal, Alberto. On estimating the perimeter using the alpha-shape. Ann. Inst. H. Poincaré Probab. Statist. 53 (2017), no. 3, 1051--1068. doi:10.1214/16-AIHP747
dc.identifier.urihttp://hdl.handle.net/10347/18623
dc.description.abstractWe consider the problem of estimating the perimeter of a smooth domain in the plane based on a sample from the uniform distribution over the domain. We study the performance of the estimator defined as the perimeter of the alpha-shape of the sample. Some numerical experiments corroborate our theoretical findings
dc.description.abstractNous considérons le problème de l’estimation du périmètre d’un domaine à bord lisse dans le plan basé sur un échantillon tiré de la loi uniforme ayant pour support le domaine en question. Nous étudions la performance de l’estimateur défini par le périmètre de la forme-alpha (« alpha-shape ») de l’échantillon. Des expériences numériques confirment notre théorie
dc.language.isoeng
dc.publisherInstitut Henri Poincaré
dc.rights© Association des Publications de l’Institut Henri Poincaré, 2017
dc.subjectPerimeter estimation
dc.subjectα-shape
dc.subjectr-convex hull
dc.subjectRolling condition
dc.subjectSets with positive reach
dc.titleOn estimating the perimeter using the alpha-shape
dc.typeinfo:eu-repo/semantics/article
dc.relation.publisherversionhttps://doi.org/10.1214/16-AIHP747
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.description.peerreviewedSI


Files in this item

application/pdf
Name: 2017_ahp_arias_estimating.pdf
Size: 315.2 Kb
Format: PDF


Thumbnail

This item appears in the following Collection(s)

Show simple item record






Harvesters:Useful links:
Universidade de Santiago de Compostela | Teléfonos: +34 881 811 000 e +34 982 820 000 | Contact Us | Send Feedback