activity
20122026
most citedAre Gibbs-type priors the most natural generalization of the Dirichlet process?

162 citations · 334 across the 13 of their papers we have counts for

collaborators
Showing math.STShow all

7 papers · 1 filter

math.ST2026

Markov Stick-breaking Processes

María F. Gil-Leyva, Antonio Lijoi, Ramsés H. Mena +1

Stick-breaking has a long history and is one of the most popular procedures for constructing random discrete distributions in Statistics and Machine Learning. In particular, due to…

math.ST2021

A Wasserstein index of dependence for random measures

Marta Catalano, Hugo Lavenant, Antonio Lijoi +1

Optimal transport and Wasserstein distances are flourishing in many scientific fields as a means for comparing and connecting random structures. Here we pioneer the use of an optim…

math.ST2021

Inner spike and slab Bayesian nonparametric models

Antonio Canale, Antonio Lijoi, Bernardo Nipoti +1

Discrete Bayesian nonparametric models whose expectation is a convex linear combination of a point mass at some point of the support and a diffuse probability distribution allow to…

math.ST2021

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…

math.ST2018★ 1 cited

Latent nested nonparametric priors

Federico Camerlenghi, David B. Dunson, Antonio Lijoi +2

Discrete random structures are important tools in Bayesian nonparametrics and the resulting models have proven effective in density estimation, clustering, topic modeling and predi…

math.ST2015★ 162 cited

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…

math.ST2014★ 64 cited

Bayesian inference with dependent normalized completely random measures

Antonio Lijoi, Bernardo Nipoti, Igor Prünster

The proposal and study of dependent prior processes has been a major research focus in the recent Bayesian nonparametric literature. In this paper, we introduce a flexible class of…