Classification of points in superpositions of Strauss and Poisson processes
S.81-95 Consider a realisation of a point process which is formed as a superposition of a regular point process, here a Strauss process, and some Poisson noise. The aim of the current work is to decide which of the two processes each point belongs to. We construct an MCMC algorithm which estimates t...
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| Format: | Article in Journal/Newspaper |
| Language: | English |
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2015
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| Online Access: | https://publica.fraunhofer.de/handle/publica/240397 https://doi.org/10.1016/j.spasta.2015.03.003 |
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ftfrauneprints:oai:publica.fraunhofer.de:publica/240397 2024-05-19T07:32:32+00:00 Classification of points in superpositions of Strauss and Poisson processes Redenbach, C. Särkkä, A. Sormani, M. 2015 https://publica.fraunhofer.de/handle/publica/240397 https://doi.org/10.1016/j.spasta.2015.03.003 en eng Spatial statistics doi:10.1016/j.spasta.2015.03.003 https://publica.fraunhofer.de/handle/publica/240397 003 journal article 2015 ftfrauneprints https://doi.org/10.1016/j.spasta.2015.03.003 2024-04-24T00:57:39Z S.81-95 Consider a realisation of a point process which is formed as a superposition of a regular point process, here a Strauss process, and some Poisson noise. The aim of the current work is to decide which of the two processes each point belongs to. We construct an MCMC algorithm which estimates the parameters of the superposition model and obtains posterior probabilities for each point of being a Strauss point. The algorithm is evaluated in a simulation study. Finally, it is applied to our motivating data set containing the locations of air bubbles, some of which are noise, in an Antarctic ice core. 12 Article in Journal/Newspaper Antarc* Antarctic ice core Publikationsdatenbank der Fraunhofer-Gesellschaft Spatial Statistics 12 81 95 |
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Open Polar |
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Publikationsdatenbank der Fraunhofer-Gesellschaft |
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ftfrauneprints |
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English |
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003 |
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003 Redenbach, C. Särkkä, A. Sormani, M. Classification of points in superpositions of Strauss and Poisson processes |
| topic_facet |
003 |
| description |
S.81-95 Consider a realisation of a point process which is formed as a superposition of a regular point process, here a Strauss process, and some Poisson noise. The aim of the current work is to decide which of the two processes each point belongs to. We construct an MCMC algorithm which estimates the parameters of the superposition model and obtains posterior probabilities for each point of being a Strauss point. The algorithm is evaluated in a simulation study. Finally, it is applied to our motivating data set containing the locations of air bubbles, some of which are noise, in an Antarctic ice core. 12 |
| format |
Article in Journal/Newspaper |
| author |
Redenbach, C. Särkkä, A. Sormani, M. |
| author_facet |
Redenbach, C. Särkkä, A. Sormani, M. |
| author_sort |
Redenbach, C. |
| title |
Classification of points in superpositions of Strauss and Poisson processes |
| title_short |
Classification of points in superpositions of Strauss and Poisson processes |
| title_full |
Classification of points in superpositions of Strauss and Poisson processes |
| title_fullStr |
Classification of points in superpositions of Strauss and Poisson processes |
| title_full_unstemmed |
Classification of points in superpositions of Strauss and Poisson processes |
| title_sort |
classification of points in superpositions of strauss and poisson processes |
| publishDate |
2015 |
| url |
https://publica.fraunhofer.de/handle/publica/240397 https://doi.org/10.1016/j.spasta.2015.03.003 |
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Antarc* Antarctic ice core |
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Antarc* Antarctic ice core |
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Spatial statistics doi:10.1016/j.spasta.2015.03.003 https://publica.fraunhofer.de/handle/publica/240397 |
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https://doi.org/10.1016/j.spasta.2015.03.003 |
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Spatial Statistics |
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12 |
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81 |
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95 |
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1799470633458860032 |