Estimating deformations of isotropic Gaussian random fields on the plane

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dc.creatorAnderes, Ethan B.
dc.creatorStein, Michael L.
dc.date2008-04-04
dc.date.accessioned2026-07-07T12:18:07Z
dc.date.available2026-07-07T12:18:07Z
dc.descriptionThis paper presents a new approach to the estimation of the deformation of an isotropic Gaussian random field on $\mathbb{R}^2$ based on dense observations of a single realization of the deformed random field. Under this framework we investigate the identification and estimation of deformations. We then present a complete methodological package--from model assumptions to algorithmic recovery of the deformation--for the class of nonstationary processes obtained by deforming isotropic Gaussian random fields.
dc.descriptionPublished in at http://dx.doi.org/10.1214/009053607000000893 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0804.0723
dc.identifierhttp://arxiv.org/abs/0804.0723
dc.identifierAnnals of Statistics 2008, Vol. 36, No. 2, 719-741
dc.identifierdoi:10.1214/009053607000000893
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212301
dc.subjectStatistics Theory
dc.subject62M30, 62M40 (Primary) 60G60 (Secondary)
dc.titleEstimating deformations of isotropic Gaussian random fields on the plane
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