11 citations · 19 across the 6 of their papers we have counts for
5 papers · 1 filter
Beta-Binomial stick-breaking non-parametric prior
María F. Gil-Leyva, Ramsés H. Mena, Theodoros Nicoleris
A new class of nonparametric prior distributions, termed Beta-Binomial stick-breaking process, is proposed. By allowing the underlying length random variables to be dependent throu…
Inference for a constrained parameter in presence of an uncertain constraint
Éric Marchand, Theodoros Nicoleris
We describe a hierarchical Bayesian approach for inference about a parameter lower-bounded by with uncertain , derive some basic identities for posterior analysis about…
Distributional Results Relating to the Posterior of a Dirichlet Process Prior
Spyridon J. Hatjispyros, Theodoros Nicoleris, Stephen G. Walker
The aim of this paper is to find distributional results for the posterior parameters which arise in the Sethuraman (1994) representation of the Dirichlet process. These results can…
Dependent Random Density Functions with Common Atoms and Pairwise Dependence
Spyridon J. Hatjispyros, Theodoros Nicoleris, Stephen G. Walker
The paper is concerned with constructing pairwise dependence between random density functions each of which is modeled as a mixture of Dirichlet process model. The key to this…
Bayesian Nonparametric Density Estimation under Length Bias
Spyridon J. Hatjispyros, Theodoros Nicoleris, Stephen G. Walker
A density estimation method in a Bayesian nonparametric framework is presented when recorded data are not coming directly from the distribution of interest, but from a length biase…