BAYESIAN COMPUTATIONAL METHODS FOR SPATIAL ANALYSIS OF IMAGES

Bayesian Prediction in Spatial Data Analysis

Computational Approaches for Empirical Bayes Methods and Bayesian Sensitivity Analysis

We consider situations in Bayesian analysis where we have a family of priors νh on the parameter θ, where h varies continuously over a space H, and we deal with two related problems. The first involves sensitivity analysis and is stated as follows. Suppose we fix a function f of θ. How do we efficiently estimate the posterior expectation of f(θ) simultaneously for all h in H? The second problem...

Bayesian Analysis and Computational Methods for Dynamic Modeling

Statistics) Bayesian Analysis and Computational Methods for Dynamic Modeling

1 Bayesian computational methods

If, in the mid 1980’s, one had asked the average statistician about the difficulties of using Bayesian Statistics, his/her most likely answer would have been “Well, there is this problem of selecting a prior distribution and then, even if one agrees on the prior, the whole Bayesian inference is simply impossible to implement in practice!” The same question asked in the 21th Century does not pro...

Bayesian Analysis of Survival Data with Spatial Correlation

Often in practice the data on the mortality of a living unit correlation is due to the location of the observations in the study‎. ‎One of the most important issues in the analysis of survival data with spatial dependence‎, ‎is estimation of the parameters and prediction of the unknown values in known sites based on observations vector‎. ‎In this paper to analyze this type of survival‎, ‎Cox...