There has been a dramatic growth in the development and application of Bayesian inferential methods. Some of this growth is due to the availability of powerful simulation-based algorithms to summarize posterior distributions. There has been also a growing interest in the use of the system R for statistical analyses. R's open source nature, free availability, and large number of contributor packages have made R the software of choice for many statisticians in education and industry. Bayesian Computation with R introduces Bayesian modeling by the use of computation using the R language. The early chapters present the basic tenets of Bayesian thinking by use of familiar one and two-parameter inferential problems. Bayesian computational methods such as Laplace's method, rejection sampling, and the SIR algorithm are illustrated in the context of a random effects model. The construction and implementation of Markov Chain Monte Carlo (MCMC) methods is introduced. These simulation-based algorithms are implemented for a variety of Bayesian applications such as normal and binary response regression, hierarchical modeling, order-restricted inference, and robust modeling. Algorithms written in R are used to develop Bayesian tests and assess Bayesian models by use of the posterior predictive distribution. The use of R to interface with WinBUGS, a popular MCMC computing language, is described with several illustrative examples. This book is a suitable companion book for an introductory course on Bayesian methods and is valuable to the statistical practitioner who wishes to learn more about the R language and Bayesian methodology. The LearnBayes package, written by the author and available from the CRAN website, contains all of the R functions described in the book. The second edition contains several new topics such as the use of mixtures of conjugate priors and the use of Zellner's g priors to choose between models in linear regression. There are more illustrations of the construction of informative prior distributions, such as the use of conditional means priors and multivariate normal priors in binary regressions. The new edition contains changes in the R code illustrations according to the latest edition of the LearnBayes package.
發表於2024-11-23
Bayesian Computation with R 2024 pdf epub mobi 電子書 下載
作者有點強推自己寫的R包瞭,對bayesian的理論思想講的不夠清楚,適閤有一定理論基礎的同學看,學習如何實現MCMC,推薦先看Bayesian data analysis。 其實bayesian相比frequentist理論上要簡單的多,無論是估計,檢驗,還是迴歸,無非就是先驗,likelihood,後驗的套路。
評分作者有點強推自己寫的R包瞭,對bayesian的理論思想講的不夠清楚,適閤有一定理論基礎的同學看,學習如何實現MCMC,推薦先看Bayesian data analysis。 其實bayesian相比frequentist理論上要簡單的多,無論是估計,檢驗,還是迴歸,無非就是先驗,likelihood,後驗的套路。
評分感覺超級好的textbook,雖然一直不習慣R,當時還是把書上的code跑瞭過半,感覺對理解bayesian超級有幫助。不像其他學科,初學bayesian應該一開始就和computer結閤,不然真的很沒趣。這本書沒太多理論,提供大量操作,循序漸進,由簡單到復雜,初學bayesian如果能結閤這本書一起...
評分作者有點強推自己寫的R包瞭,對bayesian的理論思想講的不夠清楚,適閤有一定理論基礎的同學看,學習如何實現MCMC,推薦先看Bayesian data analysis。 其實bayesian相比frequentist理論上要簡單的多,無論是估計,檢驗,還是迴歸,無非就是先驗,likelihood,後驗的套路。
評分感覺超級好的textbook,雖然一直不習慣R,當時還是把書上的code跑瞭過半,感覺對理解bayesian超級有幫助。不像其他學科,初學bayesian應該一開始就和computer結閤,不然真的很沒趣。這本書沒太多理論,提供大量操作,循序漸進,由簡單到復雜,初學bayesian如果能結閤這本書一起...
圖書標籤: 貝葉斯 統計 數據分析 Stats Statistics R Bayesian
Bayesian Computation with R 2024 pdf epub mobi 電子書 下載