Show simple item record

dc.contributor.authorPigoli, Davideen
dc.contributor.authorMenafoglio, Alessandraen
dc.contributor.authorSecchi, Piercesareen
dc.date.accessioned2015-12-17T16:42:42Z
dc.date.available2015-12-17T16:42:42Z
dc.date.issued2015-12-25en
dc.identifier.citationPigoli et al. Journal of Multivariate Analysis (2016) Vol. 145, pp. 117-131. doi:10.1016/j.jmva.2015.12.006en
dc.identifier.issn0047-259X
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/253013
dc.description.abstractThe statistical analysis of data belonging to Riemannian manifolds is becoming increasingly important in many applications, such as shape analysis, diffusion tensor imaging and the analysis of covariance matrices. In many cases, data are spatially distributed but it is not trivial to take into account spatial dependence in the analysis because of the non linear geometry of the manifold. This work proposes a solution to the problem of spatial prediction for manifold valued data, with a particular focus on the case of positive definite symmetric matrices. Under the hypothesis that the dispersion of the observations on the manifold is not too large, data can be projected on a suitably chosen tangent space, where an additive model can be used to describe the relationship between response variable and covariates. Thus, we generalize classical kriging prediction, dealing with the spatial dependence in this tangent space, where well established Euclidean methods can be used. The proposed kriging prediction is applied to the matrix field of covariances between temperature and precipitation in Quebec, Canada.
dc.languageEnglishen
dc.language.isoenen
dc.publisherElsevier
dc.subjectnon Euclidean dataen
dc.subjectresidual krigingen
dc.subjectpositive definite symmetric matricesen
dc.titleKriging prediction for manifold-valued random fieldsen
dc.typeArticle
dc.description.versionThis is the author accepted manuscript. The final version is available from Elsevier via http://dx.doi.org/10.1016/j.jmva.2015.12.006en
prism.endingPage131
prism.publicationDate2015en
prism.publicationNameJournal of Multivariate Analysisen
prism.startingPage117
prism.volume145en
rioxxterms.versionofrecord10.1016/j.jmva.2015.12.006en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-12-25en
dc.contributor.orcidPigoli, Davide [0000-0003-4591-4167]
dc.identifier.eissn1095-7243
rioxxterms.typeJournal Article/Reviewen
rioxxterms.freetoread.startdate2016-12-25


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record