Title
The Poisson–Dirichlet Distribution and the Scale-Invariant Poisson Process
Abstract
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
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 Arratia118221.00
A. D. Barbour26518.58
simon tavare322924.40