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Multiple Window Scan Statistics for Two Dimensional Poisson Processes

Author

Listed:
  • Jie Chen

    (University of Massachusetts Boston)

  • Joseph Glaz

    (University of Connecticut)

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.

Suggested Citation

  • Jie Chen & Joseph Glaz, 2016. "Multiple Window Scan Statistics for Two Dimensional Poisson Processes," Methodology and Computing in Applied Probability, Springer, vol. 18(4), pages 967-977, December.
    • Handle: RePEc:spr:metcap:v:18:y:2016:i:4:d:10.1007_s11009-016-9484-9
    DOI: 10.1007/s11009-016-9484-9
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    References listed on IDEAS

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    1. G. Haiman & C. Preda, 2002. "A New Method for Estimating the Distribution of Scan Statistics for a Two-Dimensional Poisson Process," Methodology and Computing in Applied Probability, Springer, vol. 4(4), pages 393-407, December.
    2. P. A. W Lewis & G. S. Shedler, 1979. "Simulation of nonhomogeneous poisson processes by thinning," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(3), pages 403-413, September.
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