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Multiple Window Scan Statistics for Two Dimensional Poisson Processes

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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.

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Authors and Affiliations

  1. University of Massachusetts Boston, Boston, MA, 02125, USA

    Jie Chen

  2. Department of Statistics, University of Connecticut, Storrs, CT, 06269, USA

    Joseph Glaz

Authors
  1. Jie Chen
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  2. Joseph Glaz
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Correspondence to Joseph Glaz.

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Chen, J., Glaz, J. Multiple Window Scan Statistics for Two Dimensional Poisson Processes. Methodol Comput Appl Probab 18, 967–977 (2016). https://doi.org/10.1007/s11009-016-9484-9

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  • DOI: https://doi.org/10.1007/s11009-016-9484-9

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