JSM 2004 - Toronto

Abstract #300268

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Activity Number: 174
Type: Invited
Date/Time: Tuesday, August 10, 2004 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #300268
Title: The Design of Spatial Monitor Networks
Author(s): Richard L. Smith*+ and Zhengyuan Zhu
Companies: University of North Carolina and University of North Carolina, Chapel Hill
Address: Dept. of Statistics and OR, Chapel Hill, NC, 27599-3260,
Keywords: Bayesian statistics ; spatial statistics ; asymptotic approximations
Abstract:

Spatial network design is concerned with the optimal placement of a network of monitors for a spatial field; a typical problem would be deciding where to place ozone monitors to obtain the best information about the ozone field over a region. Recent research has highlighted the contrast between "estimative" and "predictive" criteria: the optimal placement of monitors for achieving optimal prediction, given known parameters of the spatial field, is not necessarily the same as the optimal design for estimating those parameters. In a University of Chicago PhD thesis, Zhu (2002) proposed a compromise criterion that combines both aspects. Here we suggest an alternative approach based on Bayesian considerations. By focusing on the expected length of Bayesian predictive intervals, we obtain a criterion that effectively combines both estimative and predictive aspects. Implementation, however, requires the develop of suitable asymptotic approximations. These approximations, and their application to the design problem, will form the main focus of this talk.

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