- Volume 6, Number 5 (2000), 761-782.
Inhomogeneous Markov point processes by transformation
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 that of exponential inhomogeneous Markov point processes. Statistical inference for such processes is discussed in some detail.
Bernoulli, Volume 6, Number 5 (2000), 761-782.
First available in Project Euclid: 6 April 2004
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coarea formula Hammersley-Clifford theorem Hausdorff measure inhomogeneity interaction manifolds Markov chain Monte Carlo Markov point processes maximum likelihood estimation relation Strauss process testing
Vedel Jensen, Eva B.; Stougaard Nielsen, Linda. Inhomogeneous Markov point processes by transformation. Bernoulli 6 (2000), no. 5, 761--782. https://projecteuclid.org/euclid.bj/1081282688