Bayesian nonparametric estimators derived from conditional Gibbs structures

Antonio Lijoi (), Igor Pruenster () and Stephen G. Walker ()

ICER Working Papers - Applied Mathematics Series from ICER - International Centre for Economic Research

Abstract: We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce conditional distributions and the corresponding Bayesian nonparametric estimators, which can be readily exploited for predicting various features of additional samples. The results provide useful tools for genomic applications where prediction of future outcomes is required.

Keywords: Bayesian nonparametric inference; Exchangeable random partitions; Generalized factorial coeffcients; Generalized gamma process; Poisson-Dirichlet process; Population genetics. (search for similar items in EconPapers)
Pages: 27 pages
Date: 2008-06
New Economics Papers: this item is included in nep-ecm and nep-for
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Citations: View citations in EconPapers (13)

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