Fast approximation of the intensity of Gibbs point processes (Q1950852)
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scientific article; zbMATH DE number 6166991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fast approximation of the intensity of Gibbs point processes |
scientific article; zbMATH DE number 6166991 |
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Fast approximation of the intensity of Gibbs point processes (English)
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28 May 2013
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Using the Georgii-Nguyen-Zessin formula which relates the probability distribution of a point process and its reduced Palm distribution, the authors derive a new approximation for the intensity of the stationary Gibbs point process in a multi-dimensional space. The relation with the standard mean field approximation is clarified and numerical examples are displayed.
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Georgii-Nguyen-Zessin formula
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Gibbs point process
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Lambert \(W\) function
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mean field approximation
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pairwise interaction point process
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Palm distribution
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Papangelou conditional intensity
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Percus-Yevick approximation
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Poisson approximation
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Poisson-saddle point approximation
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Strauss process
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0.90995526
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0.89787745
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0.8922361
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0.88377565
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0.8817085
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0.88037264
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0.8726089
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