BayesX - Software for Bayesian Inference based on Markov Chain Monte Carlo simulation techniques
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BayesX: Analysing Bayesian structured additive regression models
SUMMARY There has been much recent interest in Bayesian inference for generalized additive and related models. The increasing popularity of Bayesian methods for these and other model classes is mainly caused by the introduction of Markov chain Monte Carlo (MCMC) simulation techniques which allow the estimation of very complex and realistic models. This paper describes the capabilities of the pu...
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Structured additive regression (STAR) models provide a flexible framework for modeling possible nonlinear effects of covariates: They contain the well established frameworks of generalized linear models (GLM) and generalized additive models (GAM) as special cases but also allow a wider class of effects, e.g., for geographical or spatio-temporal data, allowing for specification of complex and re...
متن کاملGeneralized structured additive regression based on Bayesian P-splines
Generalized additive models (GAM) for modelling nonlinear effects of continuous covariates are now well established tools for the applied statistician. In this paper we develop Bayesian GAM’s and extensions to generalized structured additive regression based on one or two dimensional P-splines as the main building block. The approach extends previous work by Lang and Brezger (2003) for Gaussian...
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This tutorial demonstrates the usage of BayesX for analysing Bayesian semiparametric regression models based on MCMC techniques. As an example we consider data on undernutrition of children in Zambia. The tutorial is designed to be self-contained and describes all features of BayesX in detail, that will be needed throughout the tutorial. Therefore it may also serve as a first introduction into ...
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ggmcmc is an R package for analyzing Markov chain Monte Carlo simulations from Bayesian inference. By using a well known example of hierarchical/multilevel modeling, the article reviews the potential uses and options of the package, ranging from classical convergence tests to caterpillar plots or posterior predictive checks. This R vignette is based on the article published at the Journal of St...
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