Estimating deformations of isotropic Gaussian random fields on the plane
成果类型：
Article
署名作者：
Anderes, Ethan B.; Stein, Michael L.
署名单位：
University of California System; University of California Berkeley; University of Chicago
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/009053607000000893
发表日期：
2008
页码：
719-741
关键词：
摘要：
This paper presents a new approach to the estimation of the deformation of an isotropic Gaussian random field on 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.