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.
Publié le : 2008-04-15
Classification:
Deformation,
quasiconformal maps,
nonstationary random fields,
62M30,
62M40,
60G60
@article{1205420517,
author = {Anderes, Ethan B. and Stein, Michael L.},
title = {Estimating deformations of isotropic Gaussian random fields on the plane},
journal = {Ann. Statist.},
volume = {36},
number = {1},
year = {2008},
pages = { 719-741},
language = {en},
url = {http://dml.mathdoc.fr/item/1205420517}
}
Anderes, Ethan B.; Stein, Michael L. Estimating deformations of isotropic Gaussian random fields on the plane. Ann. Statist., Tome 36 (2008) no. 1, pp. 719-741. http://gdmltest.u-ga.fr/item/1205420517/