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Two-Dimensional Discrete Scan Statistics with Arbitrary Window Shape

In: Handbook of Scan Statistics

Author

Listed:
  • Alexandru Amărioarei

    (University of Bucharest, Faculty of Mathematics and Computer Science
    National Institute of Research and Development for Biological Sciences, Bioinformatics Department)

  • Michaël Génin

    (ULR 2694 - METRICS : Évaluation des technologies de santé et des pratiques médicales, Univ. Lille, CHU Lille)

  • Cristian Preda

    (Université de Lille, Laboratoire Paul Painlevé
    Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy
    University of Lille, Department of Medical Research, Biostatistics, Lille Catholic Hospitals)

Abstract

The definition of the two-dimensional discrete scan statistic with rectangular window shape is extended to a more general framework. In particular, this approach allows to introduce different shapes for the scanning window (discretized rectangle, polygon, circle, ellipse, or annulus). We provide approximation for the distribution of the scan statistic and illustrate its accuracy by conducting a numerical comparison study. The power of test based on the scan statistics is also evaluated by simulation.

Suggested Citation

  • Alexandru Amărioarei & Michaël Génin & Cristian Preda, 2024. "Two-Dimensional Discrete Scan Statistics with Arbitrary Window Shape," Springer Books, in: Joseph Glaz & Markos V. Koutras (ed.), Handbook of Scan Statistics, chapter 36, pages 703-718, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-8033-4_52
    DOI: 10.1007/978-1-4614-8033-4_52
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