MPS-RR 1998-9
June 1998

Inhomogeneous Markov point processes by transformation

Eva B. Vedel Jensen

Linda Stougaard Nielsen

Abstract

In the present paper, we construct parametrized models for point processes, allowing for both inhomogeneity and interaction. The inhomogeneity is obtained by applying parametrized transformations to homogeneous Markov point processes. An interesting model class, which can be constructed by this transformation approach, is the exponential inhomogeneous Markov point processes. Statistical inference for such processes is discussed in some detail.

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