Generalized Chinese restaurant construction of exchangeable Gibbs partitions and related results

Annalisa Cerquetti

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arXiv · 0805.3853

Generalized Chinese restaurant construction of exchangeable Gibbs partitions and related results

Annalisa Cerquetti

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Abstract

By resorting to sequential constructions of exchangeable random partitions (Pitman, 2006), and exploiting some known facts about generalized Stirling numbers, we derive a generalized Chinese restaurant process construction of exchangeable Gibbs partitions of type $α$ (Gnedin and Pitman, 2006). Our construction represents the natural theoretical probabilistic framework in which to embed some recent results about a Bayesian nonparametric treatment of estimation problems arising in genetic experiment under Gibbs, species sampling, models priors.

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Annalisa Cerquetti. 2008-05-26. Generalized Chinese restaurant construction of exchangeable Gibbs partitions and related results. https://arxiv.org/abs/0805.3853

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