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Bayesian nonparametric methods have been applied to survival analysis problems since the emergence of the area of Bayesian nonparametrics. However, the use of the flexible class of Dirichlet process mixture models has been rather limited in this context. This is, arguably, to a large extent, due to the standard way of fitting such models that precludes full… (More)

We propose a method for the analysis of a spatial point pattern, which is assumed to arise as a set of observations from a spatial non-homogeneous Poisson process. The spatial point pattern is observed in a bounded region, which, for most applications, is taken to be a rectangle in the space where the process is defined. The method is based on modeling a… (More)

We develop a Bayesian method for nonparametric model–based quantile regression. The approach involves flexible Dirichlet process mixture models for the joint distribution of the response and the co-variates, with posterior inference for different quantile curves emerging from the conditional response distribution given the covariates. An extension to allow… (More)

The evaluation of the performance of a continuous diagnostic measure is a commonly encountered task in medical research. We develop Bayesian non-parametric models that use Dirichlet process mixtures and mixtures of Polya trees for the analysis of continuous sero-logic data.The modelling approach differs from traditional approaches to the analysis of… (More)

We propose a probability model for k-dimensional ordinal outcomes, i.e., we consider inference for data recorded in k-dimensional contingency tables with ordinal factors. The proposed approach is based on full posterior inference, assuming a flexible underlying prior probability model for the contingency table cell probabilities. We use a variation of the… (More)

- Athanasios Kottas, Márcia D Branco, Alan E Gelfand
- Biometrics
- 2002

In cytogenetic dosimetry, samples of cell cultures are exposed to a range of doses of a given agent. In each sample at each dose level, some measure of cell disability is recorded. The objective is to develop models that explain cell response to dose. Such models can be used to predict response at unobserved doses. More important, such models can provide… (More)

We propose a class of Bayesian nonparamet-ric mixture models with a Beta distribution providing the mixture kernel and a Dirichlet process prior assigned to the mixing distribution. Motivating applications include density estimation on bounded domains, and inference for non-homogeneous Poisson processes over time. We present the mixture model formulation ,… (More)

- M. J. Bayarri, J. O. Berger, +6 authors J. Tu
- 2005

A key question in evaluation of computer models is Does the computer model adequately represent reality? A complete Bayesian approach to answering this question is developed for the challenging practical context in which the computer model (and reality) produce functional data. The methodology is particularly suited to treating the major issues associated… (More)

We propose two modeling approaches to Bayesian quantile regression based on Dirichlet process (DP) mixture models and Gaussian processes (GP). The first approach uses a semiparametric additive formulation, with the regression function modeled parametrically and with nonparametric priors for the error distribution. The prior models include dependent DP-s… (More)

With survival data there is often interest not only in the survival time distribution but also in the residual survival time distribution. In fact, regression models to explain residual survival time might be desired. Building upon recent work of Kottas and Gelfand (2001) we formulate a semipara-metric median residual life regression model induced by a… (More)