JSM 2004 - Toronto

Abstract #302169

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Activity Number: 118
Type: Contributed
Date/Time: Monday, August 9, 2004 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #302169
Title: On the Linear Combination of Spatio-temporal Covariances and Variograms
Author(s): Chunsheng Ma*+
Companies: Wichita State University
Address: Dept. of Mathematics and Statistics, Wichita, KS, 67260-0033,
Keywords: spatio-temporal ; covariance ; variogram
Abstract:

The covariance function and the variogram are commonly used to describe the space-time interaction for a process that evolves in both space and time. Although the sum of two covariance functions (or variograms) is also a covariance function (or variogram), this is not necessarily true for the difference or for a linear combination of two covariance functions (or variograms). We discuss the conditions for a linear combination of two covariance functions (or variograms) to be a valid covariance (or variogram), and propose some new spatio-temporal covariance models and variograms.


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