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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 263
Type: Invited
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #307735
Title: Nonparametric Assessment of Properties of Space-Time Covariance Functions Associated with Wind Speed Data
Author(s): Bo Li*+ and Marc Genton and Michael Sherman
Companies: National Center for Atmospheric Research and University of Geneva and Texas A&M University
Address: 1300 30th Street Apt B3 24, Boulder, CO, 80303,
Keywords: Asymptotic normality ; Covariance ; Full symmerty ; Separability
Abstract:

We propose a unified framework for testing a variety of assumptions commonly made for covariance functions of stationary spatio-temporal random fields. The methodology is based on the asymptotic normality of space-time covariance estimators. We focus on tests for full symmetry and separability, but our framework naturally covers testing for isotropy and Taylor's hypothesis. Our test successfully detects the asymmetric and nonseparable features in two sets of wind speed data. We perform simulation experiments to evaluate our test and conclude that our method is reliable and powerful for assessing common assumptions on space-time covariance functions.


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Revised September, 2007