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MaPhySto
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2000-37
September 2000




Inhomogeneous spatial point processes

by:

Eva B. Vedel Jensen

Linda Stougaard Nielsen

Abstract

Recent models for inhomogeneous spatial point processes with interaction are reviewed. The focus is on models derived from homogeneous Markov point processes. For some of the models, the interaction is location dependent. A new type of transformation related model with this property is also suggested. The statistical inference based on likelihood and pseudolikelihood is discussed for the different models. In particular, it is shown that for transformation models, the pseudolikelihood function can be decomposed in a similar fashion as the likelihood function.

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This paper has now been published in In Selected Proceedings of the Symposium on Inference for Stochastic Processes (eds. I.V. Basawa, C.C. Heyde and R.L. Taylor), 297-318. IMS Lecture Notes, Vol. 37 (2001)