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Titlebook: Bayesian Computation with R; Jim Albert Textbook 2009Latest edition Springer-Verlag New York 2009 Bayesian Inference.Hierarchical modeling

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期刊全称Bayesian Computation with R
影响因子2023Jim Albert
视频video
发行地址Introduces Bayesian modeling by use of computation using the R language.Includes supplementary material:
学科分类Use R!
图书封面Titlebook: Bayesian Computation with R;  Jim Albert Textbook 2009Latest edition Springer-Verlag New York 2009 Bayesian Inference.Hierarchical modeling
影响因子There has been dramatic growth in the development and application of Bayesian inference in statistics. Berger (2000) documents the increase in Bayesian activity by the number of published research articles, the number of books,andtheextensivenumberofapplicationsofBayesianarticlesinapplied disciplines such as science and engineering. One reason for the dramatic growth in Bayesian modeling is the availab- ity of computational algorithms to compute the range of integrals that are necessary in a Bayesian posterior analysis. Due to the speed of modern c- puters, it is now possible to use the Bayesian paradigm to ?t very complex models that cannot be ?t by alternative frequentist methods. To ?t Bayesian models, one needs a statistical computing environment. This environment should be such that one can: write short scripts to de?ne a Bayesian model use or write functions to summarize a posterior distribution use functions to simulate from the posterior distribution construct graphs to illustrate the posterior inference An environment that meets these requirements is the R system. R provides a wide range of functions for data manipulation, calculation, and graphical d- plays. Moreover, it
Pindex Textbook 2009Latest edition
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Introduction to Bayesian Thinking,rtion. Before taking data, one has beliefs about the value of the proportion and one models his or her beliefs in terms of a prior distribution. We will illustrate the use of different functional forms for this prior. After data have been observed, one updates one’s beliefs about the proportion by c
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Single-Parameter Models,sian inference for a variance for a normal population and inference for a Poisson mean when informative prior information is available. For both problems, summarization of the posterior distribution is facilitated by the use of R functions to compute and simulate distributions from the exponential f
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Markov Chain Monte Carlo Methods,ior distribution, but it can be difficult to set up since it requires the construction of a suitable proposal density. Importance sampling and SIR algorithms are also general-purpose algorithms, but they also require proposal densities that may be difficult to find for high-dimensional problems. In
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