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Mathematics - Probability Theory and Stochastic Processes | A First Course in Bayesian Statistical Methods

A First Course in Bayesian Statistical Methods

Hoff, Peter D.

2009, VIII, 270p.

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  • Provides a nice introduction to Bayesian statistics with sufficient grounding in the Bayesian framework without being distracted by more esoteric points
  • The material is well-organized; weaving applications, background material and computation discussions throughout the book
  • R examples also facilitate how the approaches work

This book provides a compact self-contained introduction to the theory and application of Bayesian statistical methods. The book is accessible to readers having a basic familiarity with probability, yet allows more advanced readers to quickly grasp the principles underlying Bayesian theory and methods. The examples and computer code allow the reader to understand and implement basic Bayesian data analyses using standard statistical models and to extend the standard models to specialized data analysis situations. The book begins with fundamental notions such as probability, exchangeability and Bayes' rule, and ends with modern topics such as variable selection in regression, generalized linear mixed effects models, and semiparametric copula estimation. Numerous examples from the social, biological and physical sciences show how to implement these methodologies in practice.

Monte Carlo summaries of posterior distributions play an important role in Bayesian data analysis. The open-source R statistical computing environment provides sufficient functionality to make Monte Carlo estimation very easy for a large number of statistical models and example R-code is provided throughout the text. Much of the example code can be run ``as is'' in R, and essentially all of it can be run after downloading the relevant datasets from the companion website for this book.

Peter Hoff is an Associate Professor of Statistics and Biostatistics at the University of Washington. He has developed a variety of Bayesian methods for multivariate data, including covariance and copula estimation, cluster analysis, mixture modeling and social network analysis. He is on the editorial board of the Annals of Applied Statistics.

Content Level » Graduate

Keywords » Markov chain - Statistical Computing - Statistical Method - Statistical Models - algorithms - data analysis - linear regression - modeling

Related subjects » Applications - Econometrics / Statistics - Probability Theory and Stochastic Processes - Social Sciences - Statistical Theory and Methods - Theoretical Computer Science

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