Posterior analysis of rare variants in Gibbs-type species sampling models

DOI10.1016/j.jmva.2014.06.017zbMath1299.62115OpenAlexW2038671134MaRDI QIDQ406516

Oriana Cesari, Stefano Favaro, Bernardo Nipoti

Publication date: 8 September 2014

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2014.06.017

zbMATH Keywords

two parameter Poisson-Dirichlet processexchangeable random partitionasymptotic credible intervalsBayesian nonparametric inferenceGibbs-type random probability measureindex of diversityrare variantsampling formulaspecies sampling problem

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Bayesian inference (62F15) Sampling theory, sample surveys (62D05) Ecology (92D40) Random measures (60G57)

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Ordered and size-biased frequencies in GEM and Gibbs' models for species sampling ⋮ The ubiquitous Ewens sampling formula ⋮ Discussion of ``On simulation and properties of the stable law by L. Devroye and L. James

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