Bayesian Data Analysis, Second EditionIncorporating new and updated information, this second edition of THE bestselling text in Bayesian data analysis continues to emphasize practice over theory, describing how to conceptualize, perform, and critique statistical analyses from a Bayesian perspective. Its worldclass authors provide guidance on all aspects of Bayesian data analysis and include examples of real statistical analyses, based on their own research, that demonstrate how to solve complicated problems. Changes in the new edition include:
Bayesian computation is currently at a stage where there are many reasonable ways to compute any given posterior distribution. However, the best approach is not always clear ahead of time. Reflecting this, the new edition offers a more pluralistic presentation, giving advice on performing computations from many perspectives while making clear the importance of being aware that there are different ways to implement any given iterative simulation computation. The new approach, additional examples, and updated information make Bayesian Data Analysis an excellent introductory text and a reference that working scientists will use throughout their professional life. 
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Review: Bayesian Data Analysis
User Review  Lurino  Goodreadsthe definitive textbook for bayesian statistics. almost everything is here, but it's definitely not a gentle introduction. Read full review
Contents
Fundamentals of Bayesian Inference  1 
Fundamentals of Bayesian Data Analysis  118 
Advanced Computation  280 
Regression Models  359 
Specific Models and Problems  472 
Appendixes  583 
623  
Author index  652 
666  