JSM 2005 - Toronto

Abstract #304375

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Activity Number: 403
Type: Contributed
Date/Time: Wednesday, August 10, 2005 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics and the Environment
Abstract - #304375
Title: Testing and Modeling Lack of Symmetry in Spatial-temporal Processes
Author(s): Man Sik Park*+ and Montserrat Fuentes
Companies: North Carolina State University and North Carolina State University
Address: 2501 Founders Drive, Raleigh, NC, 27695-8203, United States
Keywords: symmetry ; spectral representation ; spatial-temporal covariance function
Abstract:

Many studies in the environmental sciences show that air pollution data have complex spatial-temporal dependency structures that are difficult to model and estimate due to the lack of symmetry and other standard assumptions of the covariance function. In this study, we define different types of symmetry: axial symmetry in time, axial symmetry in space, diagonal symmetry in time, and diagonal symmetry in space. We propose new formal tests for symmetry by using spectral representations of spatial-temporal covariance function. Finally, we apply those tests to real data: the Moderate Resolution Imaging Spectroradiometer (MODIS) data and Fine Particle Concentrations (PM2.5) data.

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