JSM 2004 - Toronto

Abstract #301870

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Activity Number: 231
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics and the Environment
Abstract - #301870
Title: A Flexible Computer-efficient Class of Spatial Interaction Models and Its Application to Ocean Remote-sensing and Ocean-mapping Data
Author(s): Ernst Linder*+
Companies: University of New Hampshire
Address: Dept. of Mathematics and Statistics, Durham, NH, 03824,
Keywords: lattice models ; spatial-temporal data ; mixed effects models ; remote-sensing ; ocean-mapping
Abstract:

We propose a superclass of Gaussian spatial interaction models that includes as special cases CAR and SAR-like models. This class is, unlike traditional CAR models, able to capture spatially smooth phenomena. It is comparable to the Matern class in geostatistics, but inherits the computational advantages of interaction models for lattice data. This model is defined via a spatial structure removing orthogonal transformation. The latter is a one-time preprocessing step and greatly simplifies estimation particularly when it is simulation- based (MCMC). We extend our earlier work, which was within the Bayesian framework, and examine the possibility of frequentist estimation procedure. After transformation this leads to linear mixed effect models with structured variances for the random effects. We discuss estimation and computational issues. We show how this model is applied to large gridded space time in ocean-remote-sensing and ocean-mapping.

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