Conditional $α$-diversity for exchangeable Gibbs partitions driven by the stable subordinator

Details Conditional $α$-diversity for exchangeable Gibbs partitions driven by the stable subordinator Conditional $α$-diversity for exchangeable Gibbs partitions driven by the stable subordinator

2011-05-04

arxiv.org/abs/1105.0892v1

Mathematics

Probability

8 pages

Scientific paper

Asymptotic behaviour of conditional $\alpha$ diversity for the two-parameter Poisson-Dirichlet partition model and for the normalized generalized Gamma model has been recently investigated in Favaro et al. (2009, 2011) with a view to possible applications in Bayesian treatment of species richness estimation. Here we generalize those results to the larger class of mixed Poisson-Kingman species sampling models driven by the stable subordinator (Pitman, 2003).

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