Two-Dimensional Discrete Scan Statistics with Arbitrary Window Shape

Alexandru Amărioarei (), Michaël Génin () and Cristian Preda ()
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Alexandru Amărioarei: University of Bucharest, Faculty of Mathematics and Computer Science
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

Chapter 36 in Handbook of Scan Statistics, 2024, pp 703-718 from Springer

Abstract: 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.

Keywords: Two-dimensional scan statistics; Arbitrary window shape; 1-Dependent stationary sequence; Power test (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-8033-4_52

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DOI: 10.1007/978-1-4614-8033-4_52

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