Third order moment characteristics for spatial point processes

Moment characteristics are widely used for the statistical analysis of spatial point processes. Standard summary statistics used for the analysis of point processes are of first and second order (intensity, K -function, pair-correlation function...). Nonetheless, none of these characteristics describes the distribution of a point pattern completely. Higher order characteristics such as third-order characteristics can give more information about the spatial interactions. Two such characteristics have already been studied: the z -function (Moller et. al. 98) and the T -function (Schladitz, Baddeley 2000). Key words: T -function, z -function , third order moment characteristics