Dipartimento di Scienze economico-sociali e matematico-statistiche

Descrizione del progetto

The objective of the project is the introduction and a thorough investigation of new nonparametric Bayes and empirical Bayes methods for SSPs. The proposed advances will include: i) addressing challenging methodological open problems in classical SSPs under the nonparametric empirical Bayes framework, which is arguably the most developed (currently most implemented by practitioners) framework do deal with classical SSPs; fully exploiting and developing the potential of tools from mathematical analysis, combinatorial probability and Bayesian nonparametric statistics to set forth a coherent modern approach to classical SSPs, and then investigating the interplay between this approach and its empirical counterpart; extending the scope of the above studies to more challenging SSPs, and classes of generalized SSPs, that have emerged recently in the fields of biosciences and physical sciences, machine learning and information theory.