162 citations · 187 across the 8 of their papers we have counts for
10 papers
Ordering Stochastic Block Models via prior transitivity
Lapo Santi, Nial Friel, Pierpaolo De Blasi
In directed networks, nodes may form groups with similar interaction patterns, while these groups may themselves follow an ordered structure. Existing methods typically treat these…
Gibbs sampling for mixtures in order of appearance: the ordered allocation sampler
Pierpaolo De Blasi, María F. Gil-Leyva
Gibbs sampling methods are standard tools to perform posterior inference for mixture models. These have been broadly classified into two categories: marginal and conditional method…
Asymptotic behavior of the number of distinct values in a sample from the geometric stick-breaking process
Pierpaolo De Blasi, Ramsés H. Mena, Igor Prünster
Discrete random probability measures are a key ingredient of Bayesian nonparametric inferential procedures. A sample generates ties with positive probability and a fundamental obje…
Posterior asymptotics in Wasserstein metrics on the real line
Minwoo Chae, Pierpaolo De Blasi, Stephen G. Walker
In this paper, we use the class of Wasserstein metrics to study asymptotic properties of posterior distributions. Our first goal is to provide sufficient conditions for posterior c…
Confidence distributions from likelihoods by median bias correction
Pierpaolo De Blasi, Tore Schweder
By the modified directed likelihood, higher order accurate confidence limits for a scalar parameter are obtained from the likelihood. They are conveniently described in terms of a…
Wright-Fisher construction of the two-parameter Poisson-Dirichlet diffusion
Cristina Costantini, Pierpaolo De Blasi, Stewart N. Ethier +2
The two-parameter Poisson--Dirichlet diffusion, introduced in 2009 by Petrov, extends the infinitely-many-neutral-alleles diffusion model, related to Kingman's one-parameter Poisso…
Birth-and-death Polya urns and stationary random partitions
Pierpaolo De Blasi, Matteo Ruggiero, Stephen G. Walker
We introduce a class of birth-and-death Polya urns, which allow for both sampling and removal of observations governed by an auxiliary inhomogeneous Bernoulli process, and investig…
Are Gibbs-type priors the most natural generalization of the Dirichlet process?
P. De Blasi, S. Favaro, A. Lijoi +3
Discrete random probability measures and the exchangeable random partitions they induce are key tools for addressing a variety of estimation and prediction problems in Bayesian inf…
Inhomogeneous Wright-Fisher construction of two-parameter Poisson-Dirichlet diffusions
Pierpaolo De Blasi, Matteo Ruggiero, Dario Spano'
The recently introduced two-parameter Poisson-Dirichlet diffusion extends the infinitely-many-neutral-alleles model, related to Kingman's distribution and to Fleming-Viot processes…
Posterior asymptotics of nonparametric location-scale mixtures for multivariate density estimation
Antonio Canale, Pierpaolo De Blasi
Density estimation represents one of the most successful applications of Bayesian nonparametrics. In particular, Dirichlet process mixtures of normals are the gold standard for den…