Parameter estimation and model selection for Neyman-Scott point processes.

@article{Tanaka2008ParameterEA,
  title={Parameter estimation and model selection for Neyman-Scott point processes.},
  author={Ushio Tanaka and Yosihiko Ogata and Dietrich Stoyan},
  journal={Biometrical journal. Biometrische Zeitschrift},
  year={2008},
  volume={50 1},
  pages={43-57}
}
This paper proposes an approximative method for maximum likelihood estimation of parameters of Neyman-Scott and similar point processes. It is based on the point pattern resulting from forming all difference points of pairs of points in the window of observation. The intensity function of this constructed point process can be expressed in terms of second-order characteristics of the original process. This opens the way to parameter estimation, if the difference pattern is treated as a non… CONTINUE READING