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62 – Recent Advances in Bayesian Nonparametric Methods
On Time-Dependent Gibbs-Type Random Probability Measures
Sponsor: Section on Nonparametric Statistics
Keywords: Bayesian Nonparametrics, scaling limit, dependen process, diffusion process, moran model, generalised polya urn
Federico Camerlenghi
Bocconi University
Igor Pruenster
University of Torino & Collegio Carlo Alberto
Matteo Ruggiero
University of Torino and Collegio Carlo Alberto
We review some recent constructions of time-dependent random probability measures of Gibbs type which exhibit diffusive behaviour. The characterization of the dynamics of the type frequencies, and those of the type heterogeneity in the underlying population, also known as alpha diversity, allows for a qualitative classification of these models according to whether the heterogeneity is driven by state-dependent quantities and whether the frequencies dynamics are directly affected by the overall heterogeneity.