Mostrar o rexistro simple do ítem
dc.contributor.author | Arias Castro, Ery |
dc.contributor.author | Pateiro López, Beatriz |
dc.contributor.author | Rodríguez Casal, Alberto |
dc.date.accessioned | 2019-04-15T11:09:40Z |
dc.date.available | 2019-08-15T01:00:09Z |
dc.date.issued | 2018 |
dc.identifier.citation | Arias-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.issn | 0162-1459 |
dc.identifier.uri | http://hdl.handle.net/10347/18629 |
dc.description | This 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.abstract | We 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.sponsorship | This 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.iso | eng |
dc.publisher | Taylor & Francis |
dc.rights | © 2018 American Statistical Association |
dc.subject | Minimax lower bound |
dc.subject | r-convex hull |
dc.subject | Rolling condition |
dc.subject | Support estimation |
dc.subject | Volume estimation |
dc.title | Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition |
dc.type | journal article |
dc.identifier.doi | 10.1080/01621459.2018.1482751 |
dc.relation.publisherversion | https://doi.org/10.1080/01621459.2018.1482751 |
dc.type.hasVersion | AM |
dc.identifier.essn | 1537-274X |
dc.rights.accessRights | open access |
dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización |
dc.description.peerreviewed | SI |
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