On decompositional algorithms for uniform sampling from \(n\)-spheres and \(n\)-balls (Q604345)
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scientific article; zbMATH DE number 5814742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On decompositional algorithms for uniform sampling from \(n\)-spheres and \(n\)-balls |
scientific article; zbMATH DE number 5814742 |
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On decompositional algorithms for uniform sampling from \(n\)-spheres and \(n\)-balls (English)
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10 November 2010
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The authors describe a universal conditional distribution method for uniform sampling from \(n\)-spheres and \(n\)-balls. The method brings a unifying view on several known algorithms and a possibility to construct some novel variants. The authors give the performance comparison of the known and new algorithms: new algorithms have advantages for dimensions 5, 6, and 7. Dimension 7 is not a limit for new algorithms, but their advantages decline with increasing dimension.
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\(n\)-ball
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\(n\)-sphere
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uniform distribution
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beta distribution
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normal distribution
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Monte Carlo
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simulation
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uniform sampling
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algorithms
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