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The two-parameter Poisson-Dirichlet distribution, denoted pd(ff; `),is a distribution on the set of decreasing positive sequences with sum1. The usual Poisson-Dirichlet distribution with a single parameter `,introduced by Kingman, is pd(0; `). Known properties of pd(0; `), includingthe Markov chain description due to Vershik-Shmidt-Ignatov,are generalized to the two-parameter case. The size-biased randompermutation of pd(ff; `) is a simple residual allocation model proposedby...

The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator