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dc.contributor.author Autor Cholaquidis, Alejandro-
dc.contributor.author Autor Fraiman, Ricardo-
dc.contributor.author Autor Hernandez-Banadik, Manuel-
dc.contributor.filiacion Filiación Cholaquidis Alejandro, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.-
dc.contributor.filiacion Filiación Fraiman Ricardo, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.-
dc.contributor.filiacion Filiación Hernandez-Banadik Manuel, Universidad de la República (Uruguay). Facultad de Ciencias Económicas y de Administración-
dc.date.accessioned Fecha ingreso 2024-06-12T16:42:10Z-
dc.date.available Fecha disponible 2024-06-12T16:42:10Z-
dc.date.issued Año de publicación 2023-
dc.description Descripción Versión permitida preprint.es
dc.description Descripción Publicado también en: Journal of Nonparametric Statistics, 2023, DOI: 10.1080/10485252.2023.2280003.es
dc.description.abstract Resumen The analysis of animal movement has gained attention recently. New continuous-time models and statistical methods have been developed to estimate some sets related to their movements, such as the home-range and the core-area among others, when the information of the trajectory is provided by a GPS. Because data transfer costs and GPS battery life are practical constraints in ecological studies, the experimental designer must make critical sampling decisions in order to maximize information. To capture fine-scale motion, long-term behavior must be sacrificed, and vice versa. To overcome this limitation, we introduce the on--off sampling scheme, where the GPS is alternately on and off. This scheme is already used in practice but with insufficient statistical theoretical support. We prove the consistency of home-range estimators with an underlying reflected diffusion model under this sampling method (in terms of the Hausdorff distance). The same rate of convergence is achieved as in the case where the GPS is always on for the whole experiment. This is illustrated by a simulation study and real data. We also provide estimators of the stationary distribution, its level sets (which give estimators of the core area), and the drift function.es
dc.description.sponsorship Financiadores ANII: FCE_120191156054es
dc.format.extent Extensión 27 p.es
dc.format.mimetype Formato application/pdfes
dc.identifier.citation Citación Cholaquidis, A y Fraiman, R. "Home range estimation under a restricted sampling scheme" [Preprint]. Publicado en: Mathematics (Statistics Theory). 2023, arXiv.2106.02035, Sep 2023, pp. 1-27. DOI: arXiv:2106.02035es
dc.identifier.doi DOI arXiv:2106.02035-
dc.identifier.uri URI https://hdl.handle.net/20.500.12008/44357-
dc.language.iso Idioma enes
dc.publisher Editorial arXives
dc.relation.ispartof EN Mathematics (Statistics Theory), arXiv.2106.02035, Sep 2023, pp. 1-27es
dc.rights Derechos Las 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)es
dc.rights.licence Licencia Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)es
dc.subject.other Descriptores SET ESTIMATIONes
dc.subject.other Descriptores HOME-RANGE ESTIMATIONes
dc.subject.other Descriptores REFLECTED BROWNIAN MOTION WITH DRIFTes
dc.subject.other Descriptores STATIONARY DISTRIBUTION LEVELes
dc.title Título Home range estimation under a restricted sampling schemees
dc.type Tipo de documento Preprintes
FicherosDescripciónTamañoFormato
2106.02035v3.pdf — 2.84 MB Adobe PDF