In this paper, we present a measure associated with detection and inference of statistically anomalous clusters of a graph based on the likelihood test of observed and expected edges in a subgraph. This measure is adapted from spatial scan statistics for point sets and provides quantitative assessment for clusters. We discuss some important properties of this statistic and its relation to modul...

Kulldorff’s scan statistics identify likely spatial, temporal, and spatial-temporal clusters via likelihood hypotheses tests of whether the observed rate of cases within a geographic or longitudinal region is statistically larger than that outside the region. The conventional versions of this test are based on the assumption that all opportunities (e.g., people) inside the region have the same ...

The classical spatial scan test, which derived by maximizing the likelihood ratio statistic over a collection of cluster candidates, is widely used in spatial cluster detection. As the likelihood ratio statistic is only a special case in the family of power divergence (PD) goodness-of-fit statistics, the classical spatial scan test is extended to the family of PD spatial scan tests. Therefore, ...

[1] An analysis is presented of the structure functions and scalar spectra for 25 satellitederived marine stratocumulus cloud optical depth fields. The scenes, which cover a horizontal domain of 58 58 km at a resolution of 28.5 m, are partitioned into two ensembles on the basis of cloud fraction. For the fully cloudy scenes, although there is wide scene-to-scene variability, both the average is...