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dc.contributor.author | García Portugués, Eduardo |
dc.contributor.author | Crujeiras Casais, Rosa María |
dc.contributor.author | González Manteiga, Wenceslao |
dc.date.accessioned | 2019-04-09T07:42:05Z |
dc.date.available | 2019-04-09T07:42:05Z |
dc.date.issued | 2015 |
dc.identifier.citation | García-Portugués, E., Crujeiras, R. M. & González Manteiga, W. (2015). Central limit theorems for directional and linear random variables with applications. Statistica Sinica, 25, 1207-1229. doi: 10.5705/ss.2014.153 |
dc.identifier.issn | 1017-0405 |
dc.identifier.uri | http://hdl.handle.net/10347/18562 |
dc.description.abstract | A central limit theorem for the integrated squared error of the directional-linear kernel density estimator is established. The result enables the construction and analysis of two testing procedures based on squared loss: a nonparametric independence test for directional and linear random variables and a goodness-of-fit test for parametric families of directional-linear densities. Limit distributions for both test statistics, and a consistent bootstrap strategy for the goodness-of-fit test, are developed for the directional-linear case and adapted to the directional-directional setting. Finite sample performance for the goodness-of-fit test is illustrated in a simulation study. This test is also applied to datasets from biology and environmental sciences |
dc.language.iso | eng |
dc.publisher | Academia Sinica, Institute of Statistical Science |
dc.rights | © 2007 Academia Sinica, Institute of Statistical Science |
dc.subject | Directional data |
dc.subject | Goodness-of-fit |
dc.subject | Independence test |
dc.subject | Kernel density estimation |
dc.subject | Limit distribution |
dc.title | Central limit theorems for directional and linear random variables with applications |
dc.type | journal article |
dc.identifier.doi | 10.5705/ss.2014.153 |
dc.relation.publisherversion | http://dx.doi.org/10.5705/ss.2014.153 |
dc.type.hasVersion | VoR |
dc.identifier.essn | 1996-8507 |
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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