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PhD and Post Doc Course on Inference and Simulation for Spatial Point Processes, June 10, 2006
Scope of course
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At the 21st Nordic Conference on Mathematical Statistics, June 11 -
15, 2006, there will be a special invited talk on "Modern spatial
point process modelling and inference" by Professor Jesper
Møller and Associate Professor Rasmus Waagepetersen, see http://www.dsts.dk/nordstat2006. Prior to the conference the speakers will give a one day PhD and post doc
course on "Inference and simulation for spatial point
processes", with a view to biological applications. The course
will be a mixture of short lectures, exercises and computer demos. It
takes place on June 10, 2006, at the Department of Mathematical
Sciences, Aalborg University, Denmark.
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Location
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The lectures take place at Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G. Lecture room G5-109.
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Material
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Here you can download relevant material
Software needed for the course: sppcode
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Topics
- History and examples of applications
- Moment formulas (Slivnyak-Mecke, Campbell, Georgii-Nguyen-Zessin)
- Densities and conditional intensities for spatial point processes
- Poisson process
- Gibbs and Markov point processes
- Cox and cluster point processes
- Residuals
- Summary statistics
- Estimating equations and pseudo likelihood
- Maximum likelihood estimation
- Bayesian inference
- Markov chain Monte Carlo
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Schedule, Saturday, June 10
| 10.00 - 13.00 | Lecture I: Introduction to point processes, moment measures, and the Poisson process |
| Exercises (including coffee break) |
| Lecture II: Cox and cluster processes
| | Exercises |
| 13.00 - 14.00 | Lunch break
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| 14.00 - 17.00 | Lecture III: The conditional intensity and Markov point processes
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| Exercises (including coffee break) |
| Lecture IV: Likelihood-based inference and MCMC
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| Exercises |
| 17.00 - 18.30 | Refreshments |
| 18.30 - 19.00 | Bus to city center |
| 19.00 - 23.00 | Dinner at a restaurant in Aalborg |
About the lecturers
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Jesper Møller and Rasmus P. Waagepetersen have
collaborated for many years on central problems in spatial and
computational statistics, where they have a particular
interest in theoretical advances in simulation-based inference
for spatial point processes and their applications. Their
recent monograph is entitled "Statistical inference and
simulation for spatial point processes" (Chapman &
Hall/CRC). Current research interests of Jesper Møller
also includes stochastic geometry and Markov chain Monte Carlo
methods, particularly perfect simulation, while Rasmus
P. Waagepetersen also is interested in generalized linear
mixed models and models for variance heterogeneity in
quantitative genetics.
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Jesper Møller |
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Rasmus P. Waagepetersen
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Registration
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