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oct 2000 Inhomogeneous Markov point processes by transformation
Eva B. Vedel Jensen, Linda Stougaard Nielsen
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Bernoulli 6(5): 761-782 (oct 2000).

Abstract

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.

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Eva B. Vedel Jensen. Linda Stougaard Nielsen. "Inhomogeneous Markov point processes by transformation." Bernoulli 6 (5) 761 - 782, oct 2000.

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Published: oct 2000
First available in Project Euclid: 6 April 2004

zbMATH: 0998.62070
MathSciNet: MR2001K:62112

Keywords: coarea formula , Hammersley-Clifford theorem , Hausdorff measure , inhomogeneity , interaction , Manifolds , Markov chain Monte Carlo , Markov point processes , maximum likelihood estimation , relation , Strauss process , testing

Rights: Copyright © 2000 Bernoulli Society for Mathematical Statistics and Probability

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Vol.6 • No. 5 • oct 2000
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