Abstract | ||
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We show that the Poisson–Dirichlet distribution is the distribution of points in a scale-invariant Poisson process, conditioned on the event that the sum T of the locations of the points in (0,1] is 1. This extends to a similar result, rescaling the locations by T, and conditioning on the event that T≤1. Restricting both processes to (0, β] for 0 |
Year | DOI | Venue |
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1999 | 10.1017/S0963548399003910 | Combinatorics, Probability & Computing |
Keywords | DocType | Volume |
similar result,scale-invariant poisson process,dirichlet distribution,scale invariance,poisson process | Journal | 8 |
Issue | ISSN | Citations |
5 | 0963-5483 | 3 |
PageRank | References | Authors |
0.83 | 1 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Richard Arratia | 1 | 182 | 21.00 |
A. D. Barbour | 2 | 65 | 18.58 |
simon tavare | 3 | 229 | 24.40 |