Estimating deformations of isotropic Gaussian random fields on the plane
Ethan B. Anderes and Michael L. Stein
Source: Ann. Statist. Volume 36, Number 2 (2008), 719-741.
Abstract
This paper presents a new approach to the estimation of the deformation of an isotropic Gaussian random field on ℝ2 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.
Primary Subjects: 62M30, 62M40
Secondary Subjects: 60G60
Keywords: Deformation; quasiconformal maps; nonstationary random fields
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aos/1205420517
Digital Object Identifier: doi:10.1214/009053607000000893
Mathematical Reviews number (MathSciNet):
MR2396813
Zentralblatt MATH identifier:
1133.62077
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The Annals of Statistics
