期刊
JOURNAL OF MULTIVARIATE ANALYSIS
卷 101, 期 10, 页码 2297-2304出版社
ELSEVIER INC
DOI: 10.1016/j.jmva.2010.06.002
关键词
n-ball; n-sphere; Uniform distribution; Beta distribution; Normal distribution; Monte Carlo; Simulation
资金
- Slovak VEGA [1/0077/09]
We describe a universal conditional distribution method for uniform sampling from n-spheres and n-balls, based on properties of a family of radially symmetric multivariate distributions. The method provides us with a unifying view on several known algorithms as well as enabling us to construct novel variants. We give a numerical comparison of the known and newly proposed algorithms for dimensions 5,6 and 7. (c) 2010 Elsevier Inc. All rights reserved.
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