Distributional Results for Random Functionals of a Dirichlet Process

Existence Results for a Dirichlet Quasilinear Elliptic Problem

In this paper, existence results of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative are established. The approach is based on variational methods.

Approximating distributions of random functionals of Ferguson-Dirichlet priors

The aim of this paper is to explore the possibility of approximating the Ferguson-Dirichlet prior and the distributions of its random functionals through the simulation of random probability measures. The proposed procedure is based on the constructive deenition illustrated in Sethuraman (1994) in conjunction with the use of a random stopping rule. This allows to set in advance the closeness to...

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

Sampling schemes for generalized linear Dirichlet process random effects models

We evaluate MCMC sampling schemes for a variety of link functions in generalized linear models with Dirichlet process random effects. First, we find that there is a large amount of variability in the performance of MCMC algorithms, with the slice sampler typically being less desirable than either a Kolmogorov-Smirnov mixture representation or a MetropolisHastings algorithm. Second, in fitting t...

Nonparametric Estimation of Distributional Functionals and Applications

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