Bayesian nonparametric analysis for a species sampling model with finitely many types

TL;DR

This paper provides explicit Bayesian nonparametric analysis for a species sampling model with finitely many types, focusing on a specific Gibbs form, and complements existing analyses for other Gibbs priors.

Contribution

It introduces a new explicit analysis for a specific Gibbs form of species sampling model with finitely many types, expanding the theoretical understanding.

Findings

Derived explicit Bayesian analysis for the model

Complemented existing analyses for other Gibbs priors

Utilized a groups sequential construction of Gibbs partitions

Abstract

We derive explicit Bayesian nonparametric analysis for a species sampling model with finitely many types of Gibbs form of type $\alpha= -1$ recently introduced in Gnedin (2009). Our results complement existing analysis under Gibbs priors of type $\alpha \in [0, 1)$ proposed in Lijoi et al. (2008). Calculations rely on a groups sequential construction of Gibbs partitions introduced in Cerquetti (2008).