Translator Disclaimer
April 2008 Estimating deformations of isotropic Gaussian random fields on the plane
Ethan B. Anderes, Michael L. Stein
Ann. Statist. 36(2): 719-741 (April 2008). DOI: 10.1214/009053607000000893

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.

Citation

Download Citation

Ethan B. Anderes. Michael L. Stein. "Estimating deformations of isotropic Gaussian random fields on the plane." Ann. Statist. 36 (2) 719 - 741, April 2008. https://doi.org/10.1214/009053607000000893

Information

Published: April 2008
First available in Project Euclid: 13 March 2008

zbMATH: 1133.62077
MathSciNet: MR2396813
Digital Object Identifier: 10.1214/009053607000000893

Subjects:
Primary: 62M30, 62M40
Secondary: 60G60

Rights: Copyright © 2008 Institute of Mathematical Statistics

JOURNAL ARTICLE
23 PAGES


SHARE
Vol.36 • No. 2 • April 2008
Back to Top