Two-Dimensional Discrete Scan Statistics with Arbitrary Window Shape
摘要
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.