Introduction to Bayesian Statistics
Bolstad, William M.
Sold by BooksRun, Philadelphia, PA, U.S.A.
AbeBooks Seller since 2 February 2016
Used - Hardcover
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Add to basketSold by BooksRun, Philadelphia, PA, U.S.A.
AbeBooks Seller since 2 February 2016
Condition: Used - Good
Quantity: 1 available
Add to basketIt's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience.
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Providing a solid grounding in statistics while uniquely covering the topics from a Bayesian perspective, Understanding Computational Bayesian Statistics successfully guides readers through this new, cutting–edge approach. With its hands–on treatment of the topic, the book shows how samples can be drawn from the posterior distribution when the formula giving its shape is all that is known, and how Bayesian inferences can be based on these samples from the posterior. These ideas are illustrated on common statistical models, including the multiple linear regression model, the hierarchical mean model, the logistic regression model, and the proportional hazards model.
The book begins with an outline of the similarities and differences between Bayesian and the likelihood approaches to statistics. Subsequent chapters present key techniques for using computer software to draw Monte Carlo samples from the incompletely known posterior distribution and performing the Bayesian inference calculated from these samples. Topics of coverage include:
• Direct ways to draw a random sample from the posterior by reshaping a random sample drawn from an easily sampled starting distribution
• The distributions from the one–dimensional exponential family
• Markov chains and their long–run behavior
• The Metropolis–Hastings algorithm
• Gibbs sampling algorithm and methods for speeding up convergence
• Markov chain Monte Carlo sampling
Using numerous graphs and diagrams, the author emphasizes a step–by–step approach to computational Bayesian statistics. At each step, important aspects of application are detailed, such as how to choose a prior for logistic regression model, the Poisson regression model, and the proportional hazards model. A related Web site houses R functions and Minitab® macros for Bayesian analysis and Monte Carlo simulations, and detailed appendices in the book guide readers through the use of these software packages.
Understanding Computational Bayesian Statistics is an excellent book for courses on computational statistics at the upper–level undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners who use computer programs to conduct statistical analyses of data and solve problems in their everyday work.
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