6 papers · 1 filter
Bayesian Mixture Models for Histograms: with Applications to Large Datasets
Richard L. Warr, Fernando A. Quintana, Alessandra Guglielmi +1
In many real-world scenarios, especially those involving privacy constraints or data summarization, data are available only in aggregated forms, such as histograms or frequency tab…
Bayesian nonparametric boundary detection for multiple areal data
Matteo Gianella, Mario Beraha, Alessandra Guglielmi
We consider the problem of boundary detection for areal data, focusing on situations where for each areal unit multiple observations are available. We propose a Bayesian nonparamet…
Confidence intervals for maximum unseen probabilities, with application to sequential sampling design
Alessandro Colombi, Mario Beraha, Amichai Painsky +1
Discovery problems often require deciding whether additional sampling is needed to detect all categories whose prevalence exceeds a prespecified threshold. We study this question u…
Sufficient digits and density estimation: A Bayesian nonparametric approach using generalized finite Pólya trees
Mario Beraha, Jesper Møller
This paper proposes a novel approach for statistical modelling of a continuous random variable on , based on its digit representation . In general, …
Hierarchical shot-noise Cox process mixtures for clustering across groups
Alessandro Carminati, Mario Beraha, Federico Camerlenghi +1
Clustering observations across partially exchangeable groups of data is a routine task in Bayesian nonparametrics. Previously proposed models allow for clustering across groups by…
Large-scale entity resolution via microclustering Ewens--Pitman random partitions
Mario Beraha, Stefano Favaro
We introduce the microclustering Ewens--Pitman model for random partitions, obtained by scaling the strength parameter of the Ewens--Pitman model linearly with the sample size. The…