%0 Journal Article
%T Conditional $¦Á$-diversity for exchangeable Gibbs partitions driven by the stable subordinator
%A Annalisa Cerquetti
%J Mathematics
%D 2011
%I arXiv
%X 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).
%U http://arxiv.org/abs/1105.0892v1