Multiple Window Scan Statistics for Two Dimensional Poisson Processes
Jie Chen and
Joseph Glaz ()
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Jie Chen: University of Massachusetts Boston
Joseph Glaz: University of Connecticut
Methodology and Computing in Applied Probability, 2016, vol. 18, issue 4, 967-977
Abstract:
Abstract In this article, approximations for the distribution of multiple window scan statistics for Poisson Processes on a two dimensional rectangular region are derived, for the conditional and unconditional model. These multiple window scan statistics are based on the minimum of p-values and repeated minimum p-values of fixed window scan statistics. Numerical results are presented to evaluate the performance of these multiple window scan statistics and compare their power with fixed window scan statistics for selected local type alternatives.
Keywords: Cluster detection; Minimum p-value statistic; Multiple scan statistic; Parametric bootstrap test statistic; Rectangular scanning window; Repeated minimum p-value statistic; 60G35; 60G55; 62E17; 62M30 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metcap:v:18:y:2016:i:4:d:10.1007_s11009-016-9484-9
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DOI: 10.1007/s11009-016-9484-9
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