The class of species sampling mixture models is introduced as an extension of
semiparametric models based on the Dirichlet process to models based on the general …

One of the most common problems in machine learning and statistics consists of estimating
the mean response Xβ from a vector of observations y assuming y= Xβ+ ε where X is known …

We define a one-parameter family L θ of sigma-finite (finite on compact sets) measures in
the space of distributions. These measures are equivalent to the laws of the classical …

This article discusses the usage of a partiton based Fubini calculus for Poisson processes.
The approach is an amplification of Bayesian techniques developed in Lo and Weng for …

The distribution of a mean or, more generally, of a vector of means of a Dirichlet process is
considered. Some characterizing aspects of this paper are:(i) a review of a few basic results …

Explicit calculus for the posterior distribution of convolution mixtures of weighted gamma
processes on Polish spaces are derived. This serves to extend the results of Lo and Weng …

Abstract The two-parameter Poisson–Dirichlet distribution is a probability distribution on the
totality of positive decreasing sequences with sum 1 and hence considered to govern …

Fleming–Viot processes with mutation, selection and recombination are studied. Their
reversible distributions are shown to be characterized as quasi-invariant measures with a …

We compute the characteristic functional of the Dirichlet–Ferguson measure over a locally
compact Polish space and prove continuous dependence of the random measure on the …

We present a simple proof of the Markov–Krein identity for distributions of means of linear
functionals of the Dirichlet process and its various generalizations. The key idea is to use the …