English

Estimating deformations of isotropic Gaussian random fields on the plane

Statistics Theory 2008-12-18 v1 Statistics Theory

Abstract

This paper presents a new approach to the estimation of the deformation of an isotropic Gaussian random field on R2\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.

Keywords

Cite

@article{arxiv.0804.0723,
  title  = {Estimating deformations of isotropic Gaussian random fields on the plane},
  author = {Ethan B. Anderes and Michael L. Stein},
  journal= {arXiv preprint arXiv:0804.0723},
  year   = {2008}
}

Comments

Published 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)

R2 v1 2026-06-21T10:27:44.414Z