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Activity Number: 362
Type: Invited
Date/Time: Wednesday, August 9, 2006 : 8:30 AM to 10:20 AM
Sponsor: Section on Statisticians in Defense and National Security
Abstract - #305042
Title: Two-Dimensional Variable Window Scan Statistics
Author(s): Joseph Glaz*+
Companies: University of Connecticut
Address: Department of Statistics, U-4120, Storrs, CT, 06269-4120,
Keywords: Bayes factor ; biosurveillance ; minimum p-value statistic ; repeated p-values ; simultaneous testing ; spatial statistics
Abstract:

In this talk, we will discuss recent developments for variable window scan statistics for data modeled by discrete and continuous distributions in a two-dimensional rectangular region. These scan statistics can be viewed as spatial statistics for detecting local clustering of events. We will discuss Bayesian testing procedures, minimum p-value statistics, repeated p-value statistics, and scan-score statistics. Numerical results will be presented to evaluate the performance of these spatial scan statistics. Two-dimensional variable window scan statistics have applications in several areas of science and technology, including biosurveillance, ecology, epidemiology, and reliability theory. Future directions for research and challenging open problems in this area will be discussed as well.


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