Predicting the intensity of partially observed data from a revisited   kriging for point processes
  We consider a stationary and isotropic spatial point process whose a realisation is observed within a large window. We assume it to be driven by a stationary random field $U$. In order to predict the local intensity of the point process, $\lambda (x|U)$, we propose to define the first- and second-order characteristics of a random field, defined as the regularized counting process, from the ones of the point process and to interpolate the local intensity by using a kriging adapted to the regularized process. 
Edith Gabriel, Florent Bonneu, Pascal Monestiez, Joel Chadoeuf
stat.ME