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Along with many practical applications, Bayesian Model Selection and Statistical Modeling presents an array of Bayesian inference and model selection procedures. It thoroughly explains the concepts, illustrates the derivations of various Bayesian model selection criteria through examples, and provides R code for implementation.
The author shows how to implement a variety of Bayesian inference using R and sampling methods, such as Markov chain Monte Carlo. He covers the different types of simulation-based Bayesian model selection criteria, including the numerical calculation of Bayes factors, the Bayesian predictive information criterion, and the deviance information criterion. He also provides a theoretical basis for the analysis of these criteria. In addition, the author discusses how Bayesian model averaging can simultaneously treat both model and parameter uncertainties.
Selecting and constructing the appropriate statistical model significantly affect the quality of results in decision making, forecasting, stochastic structure explorations, and other problems. Helping you choose the right Bayesian model, this book focuses on the framework for Bayesian model selection and includes practical examples of model selection criteria.
Show moreAlong with many practical applications, Bayesian Model Selection and Statistical Modeling presents an array of Bayesian inference and model selection procedures. It thoroughly explains the concepts, illustrates the derivations of various Bayesian model selection criteria through examples, and provides R code for implementation.
The author shows how to implement a variety of Bayesian inference using R and sampling methods, such as Markov chain Monte Carlo. He covers the different types of simulation-based Bayesian model selection criteria, including the numerical calculation of Bayes factors, the Bayesian predictive information criterion, and the deviance information criterion. He also provides a theoretical basis for the analysis of these criteria. In addition, the author discusses how Bayesian model averaging can simultaneously treat both model and parameter uncertainties.
Selecting and constructing the appropriate statistical model significantly affect the quality of results in decision making, forecasting, stochastic structure explorations, and other problems. Helping you choose the right Bayesian model, this book focuses on the framework for Bayesian model selection and includes practical examples of model selection criteria.
Show moreIntroduction. Introduction to Bayesian Analysis. Asymptotic Approach for Bayesian Inference. Computational Approach for Bayesian Inference. Bayesian Approach for Model Selection. Simulation Approach for Computing the Marginal Likelihood. Various Bayesian Model Selection Criteria. Theoretical Development and Comparisons. Bayesian Model Averaging. Bibliography. Index.
Tomohiro Ando is an associate professor of management science in the Graduate School of Business Administration at Keio University in Japan.
..".excellent ... for learning or applying [the Bayesian approach].
... The book is suitable for classroom usage. There are challenging
problems in the exercises. Graduate students would like this
book."
--Journal of Statistical Computation and Simulation, Vol. 84, 2014
"This book is good at describing the various methods which have
been proposed in this area. It also gives good examples of the use
of most of the methods ... . There is R code available for many of
the examples on the author's web pages and this is a very positive
aspect. The examples I looked at seemed to be well written. The
book has exercises at the end of each chapter. ... this book will
make a welcome addition to my bookshelf. If I need to calculate a
marginal likelihood, for example, it will inform, or remind, me of
the range of methods available."
--Lawrence Pettit, Biometrics, September 2012 "The book can be
useful in several different ways--apart from the most obvious use
as a text for a course on Bayesian model selection, it will be of
value for anybody working on problems of model selection since it
seems to be the first book-length treatment from a Bayesian
perspective. Most of the many references are from the 1990s and
2000s, which means that the book (especially Chapters 5-9) will
provide a very good overview of the Bayesian literature on model
choice, especially for non-Bayesian researchers working in this
area."
--Thoralf Mildenberger, Statistical Papers (2012) 53
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