Conditional formulae for Gibbs-type exchangeable random partitions

DOI10.1214/12-AAP843zbMath1287.60046arXiv1309.1335OpenAlexW2012039831MaRDI QIDQ373830

Stefano Favaro, Antonio Lijoi, Igor Prünster

Publication date: 25 October 2013

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1335

zbMATH Keywords

conditional distributionsexchangeable partitionsde Finetti representationDirichlet (D)genomic applicationsGnedin modeltwo parameter Poisson Dirichlet (PD) process

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Bayesian inference (62F15) Random measures (60G57) Exchangeability for stochastic processes (60G09)

Related Items (14)

Full uncertainty analysis for Bayesian nonparametric mixture models ⋮ Posterior analysis of rare variants in Gibbs-type species sampling models ⋮ Bayesian nonparametric inference for shared species richness in multiple populations ⋮ A note on nonparametric inference for species variety with Gibbs-type priors ⋮ A vector of Dirichlet processes ⋮ Marginals of multivariate Gibbs distributions with applications in Bayesian species sampling ⋮ The ubiquitous Ewens sampling formula ⋮ Relatives of the Ewens sampling formula in Bayesian nonparametrics ⋮ Rejoinder: The ubiquitous Ewens sampling formula ⋮ Discussion of ``On simulation and properties of the stable law by L. Devroye and L. James ⋮ Rediscovery of Good-Turing estimators via Bayesian nonparametrics ⋮ Nonexchangeable random partition models for microclustering ⋮ Bayesian nonparametric disclosure risk assessment ⋮ Looking-backward probabilities for Gibbs-type exchangeable random partitions

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