Spatial statistics and computational methods
Jesper Møller
- 01 Jan 2003
TL;DR: Theory and Practice of Markov chain Monte Carlo Methods * Model -based Geostatistics * Simulation-based Inference for Spatial Point Processes * Low and High Level Bayesian Image Analysis
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Abstract: Theory and Practice of Markov chain Monte Carlo (MCMC) Methods * Model -based Geostatistics * Simulation-based Inference for Spatial Point Processes * Low and High Level Bayesian Image Analysis
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Citations
Gaussian predictive process models for large spatial data sets
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References
Log Gaussian Cox Processes
TL;DR: Planar Cox processes directed by a log Gaussian intensity process are investigated in the univariate and multivariate cases and the appealing properties of such models are demonstrated theoretically as well as through data examples and simulations.
925
Chaos: A Statistical Perspective
TL;DR: The authors consider applications tofolio optimization and actuarial risks (investigation of the dependencies between individual claims on the riskiness of portfolios), and their eye is always toward application.
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Metropolis–Hastings Algorithms
Christian P. Robert,George Casella +1 more
- 01 Jan 2010
TL;DR: This chapter is the first of a series of two on simulation methods based on Markov chains, where the Metropolis–Hastings algorithm can be seen as one of the most general Markov chain Monte (MCMC) algorithms.
Markov Random Field Models
Mark S. Kaiser
- 31 Aug 2012
TL;DR: Markov Random Fields (MRFs) as mentioned in this paper are a general mathematical construct that may be used in other situations such as, for example, the representation of genetic dependence among organisms, within the context of statistical modeling, a MRF may be defined for any set of random variables defined at a discrete point.
An Introduction to Simulation-Based Inference for Spatial Point Processes
Jesper Møller,Rasmus Waagepetersen +1 more
- 01 Jan 2003
TL;DR: Spatial point processes play a fundamental role in spatial statistics and are an active area of research, which probably will be of increasing importance for many new applications.
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