Two dimensional discrete scan statistics with arbitrary window shape

Statistique de scan bidimensionnelles avec fenetre de forme variabl

Alexandru Amȃrioarei , Michaël Genin (1) , Cristian Preda (2)

1 METRICS - Evaluation des technologies de santé et des pratiques médicales - ULR 2694
2 LPP - Laboratoire Paul Painlevé - UMR 8524

The definition of the 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 their accuracy by conducting a numerical comparison study. The power of test based on the scan statistics is also evaluated by simulation.

Domaines: Applications [stat.AP]; Méthodologie [stat.ME]

Alexandru Amȃrioarei, Michaël Genin, Cristian Preda. Two dimensional discrete scan statistics with arbitrary window shape. Handbook of scan statistics, 2019. ⟨hal-02405886⟩