On a Gibbs characterization of normalized generalized Gamma processes

Abstract

We show that a Gibbs characterization of normalized generalized Gamma processes, recently obtained in Lijoi, Prünster and Walker (2007), can alternatively be derived by exploiting a characterization of exponentially tilted Poisson-Kingman models stated in Pitman (2003). We also provide a completion of this result investigating the existence of normalized random measures inducing exchangeable Gibbs partitions of type $\alpha \in (-\infty ,0]$.

13 pages

References in corpus (2)

• Poisson Process Partition Calculus with applications to Exchangeable models and Bayesian Nonparametrics
• A note on Bayesian nonparametric priors derived from exponentially tilted Poisson-Kingman models

Cited by in corpus (1)

• Ordered and size-biased frequencies in GEM and Gibbs models for species sampling