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dc.contributor.authorGarcía Portugués, Eduardo
dc.contributor.authorCrujeiras Casais, Rosa María
dc.contributor.authorGonzález Manteiga, Wenceslao
dc.date.accessioned2019-04-09T07:42:05Z
dc.date.available2019-04-09T07:42:05Z
dc.date.issued2015
dc.identifier.citationGarcía-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.issn1017-0405
dc.identifier.urihttp://hdl.handle.net/10347/18562
dc.description.abstractA 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.isoeng
dc.publisherAcademia Sinica, Institute of Statistical Science
dc.rights© 2007 Academia Sinica, Institute of Statistical Science
dc.subjectDirectional data
dc.subjectGoodness-of-fit
dc.subjectIndependence test
dc.subjectKernel density estimation
dc.subjectLimit distribution
dc.titleCentral limit theorems for directional and linear random variables with applications
dc.typejournal article
dc.identifier.doi10.5705/ss.2014.153
dc.relation.publisherversionhttp://dx.doi.org/10.5705/ss.2014.153
dc.type.hasVersionVoR
dc.identifier.essn1996-8507
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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