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Inference in a Part...
Inference in a Partially Observed Percolation Process
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- Hammar, Oscar, 1977 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- Göteborg : University of Gothenburg, 2010
- English.
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Abstract
Subject headings
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- In this licentiate thesis, inference in a partially oberved percolation process living on a graph, is considered. Each edge of the graph is declared open with probability $\theta$ and closed with probability $1-\theta$ independently of the states of all other edges. The inference problem is to draw inference about $\theta$ based on the information on whether or not particular pairs of vertices are connected by open paths. Consistency results under certain conditions on the graph are given for both a Bayesian and a frequentist approach to the inference problem. Moreover, a simulation study is presented which in addition to illustrating the consistency results, also indicates that the consistency results might hold for percolation processes on more general graphs.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Keyword
- Percolation
- Bayesian inference
- frequentistic inference
- consistency
- Markov chain Monte Carlo
- Monte Carlo Expectation Maximization
- Markov chain Monte Carlo
Publication and Content Type
- vet (subject category)
- lic (subject category)
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