A note on expansion for functionals of spatial marked point processes
The authors develop an expansion for the mean value of a rather general functional of a spatial marked point process with respect to the factorial moment measures of the process. Further to the previous results concerning point processes on the real line, this paper extends the technique to point processes in a general Polish space \(E\). The key tool involves a construction of the total order relationship on \(E\), which allows to write down the so-called telescope formula for point processes on \(E\). Examples include expansion of the probability generating functional and the expected clump size in Boolean models of segments.
scientific article; zbMATH DE number 1133123
scientific article