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dc.contributor.authorArias Castro, Ery
dc.contributor.authorPateiro López, Beatriz
dc.contributor.authorRodríguez Casal, Alberto
dc.date.accessioned2019-04-15T11:09:40Z
dc.date.available2019-08-15T01:00:09Z
dc.date.issued2018
dc.identifier.citationArias-Castro, E., Pateiro-López, B., & Rodríguez-Casal, A. (2018). Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition. Journal Of The American Statistical Association, 1-12. doi: 10.1080/01621459.2018.1482751
dc.identifier.issn0162-1459
dc.identifier.urihttp://hdl.handle.net/10347/18629
dc.descriptionThis is an Accepted Manuscript of an article published by Taylor & Francis in Journal of the American Statistical Association on 2018, available online: http://www.tandfonline.com/10.1080/01621459.2018.1482751
dc.description.abstractWe consider the problem of estimating the volume of a compact domain in a Euclidean space based on a uniform sample from the domain. We assume that the domain has a boundary with positive reach. We propose a data-splitting approach to correct the bias of the plug-in estimator based on the sample α-convex hull. We show that this simple estimator achieves a minimax lower bound that we derive. Some numerical experiments corroborate our theoretical findings. Supplementary materials for this article are available online
dc.description.sponsorshipThis work was partially supported by the U.S. National Science Foundation (DMS 1513465) and by the Spanish Ministry of Economy and Competitiveness and ERDF funds (MTM2016-76969P)
dc.language.isoeng
dc.publisherTaylor & Francis
dc.rights© 2018 American Statistical Association
dc.subjectMinimax lower bound
dc.subjectr-convex hull
dc.subjectRolling condition
dc.subjectSupport estimation
dc.subjectVolume estimation
dc.titleMinimax Estimation of the Volume of a Set Under the Rolling Ball Condition
dc.typejournal article
dc.identifier.doi10.1080/01621459.2018.1482751
dc.relation.publisherversionhttps://doi.org/10.1080/01621459.2018.1482751
dc.type.hasVersionAM
dc.identifier.essn1537-274X
dc.rights.accessRightsopen access
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.description.peerreviewedSI


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