# Attractive pairwise interaction point process

I'm doing some spatial pattern analysis. After looking over some work on Markov Point Processes, I'm finding that all of the pairwise interaction processes are 'repulsive'. In "Statistical Inference and Simulation for Spatial Point Processes" by Moller, he states simply that 'the attractive case is not well defined'. I was wondering if there are special cases in which it is well defined? How can I model an attractive pairwise interaction?

I suppose the alternative would be to move away from pairwise interaction and try to infer the intensity function for an inhomogeneous process?

• I am trying to figure out how to calculate the expected value of the are interaction point process, do you have any advice about how should i proceed? since for me is confusing because the conditional intensity function uses a "predefined point pattern" $\int_{W} \lambda(x_j,\textbf{x})$ – LFRC May 15 '17 at 20:57