Estimating deformations of isotropic Gaussian random fields on the plane

Details Estimating deformations of isotropic Gaussian random fields on the plane Estimating deformations of isotropic Gaussian random fields on the plane

2008-04-04

arxiv.org/abs/0804.0723v1

Annals of Statistics 2008, Vol. 36, No. 2, 719-741

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/009053607000000893 the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053607000000893

This 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.

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