ArcGIS has Spatial Statistics ToolboxSpatial Statistics Toolbox for staticalstatistical information. it analyze spatial distributions, patterns, processes, and relationships.
Spatial statistics allow you to:
Summarize the key characteristics of a distribution. Identify statistically significant spatial clusters (hot spots/cold spots)
and spatial outliers.
Assess overall patterns of clustering or dispersion. Model spatial relationships.
you can get information here.
i hope it helps you...