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arXiv · 0804.0723

Estimating deformations of isotropic Gaussian random fields on the plane

Ethan B. Anderes·Michael L. Stein
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Abstract

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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Ethan B. Anderes, Michael L. Stein. 2008-04-04. Estimating deformations of isotropic Gaussian random fields on the plane. https://doi.org/10.1214/009053607000000893

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