Multiple Window Scan Statistics for Two Dimensional Poisson Processes

Methodology and Computing in Applied Probability - Tập 18 - Trang 967-977 - 2016
Jie Chen1, Joseph Glaz2
1University of Massachusetts Boston, Boston, USA
2Department of Statistics, University of Connecticut, Storrs, USA

Tóm tắt

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.

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