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Titlebook: Bayesian Computation with R; Jim Albert Textbook 20071st edition Springer-Verlag New York 2007 Bayesian Inference.Hierarchical modeling.Ma

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Rolf Irion,Fabian Schmidt-Schröderd in the discrete state space situation in Section 6.2. Through a simple random walk example, we illustrate some of the important properties of a special Markov chain, and we use R to simulate from the chain and move toward the stationary distribution.
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Introduction to Bayesian Thinking,he computation of the posterior distribution. One summarizes this probability distribution to perform inferences. Also one may be interested in predicting the likely outcomes of a new sample taken from the population.
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Hierarchical Modeling,rate estimates. We describe a two-stage model, a mixture of gamma distributions, to represent prior beliefs that the true mortality rates are exchangeable. We describe the use of R to simulate from the posterior distribution. We first use contour graphs and simulation to learn about the posterior distribution of the hyperparameters.
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Regression Models,or distributions of Bayesian residuals. We then illustrate the R Bayesian computations in an example where one is interested in explaining the variation of extinction times of birds in terms of their nesting behavior, their size, and their migrant status.We conclude by illustrating the Bayesian fitting of a survival regression model.
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Frank Haupenthal MBA,Maximilian Gontardsimply computes values of the posterior on a grid of points and then approximates the continuous posterior by a discrete posterior that is concentrated on the values of the grid. This brute-force method can be generally applied for oneand two-parameter problems such as those illustrated in Chapters 3 and 4.
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