Subjective and Objective Bayesian Statistics (eBook)

S. JAMES PRESS, PhD, is a Distinguished Professor in the Department of Statistics at the University of California, Riverside. He is the author (with Judith M. Tanur) of The Subjectivity of Scientists and the Bayesian Approach, also published by John Wiley & Sons, Inc., 2001.

Preface.

Preface to the First Edition.

A Bayesian Hall of Fame.

PART I: FOUNDATIONS AND PRINCIPLES.

1. Background.

2. A Bayesian Perspective on Probability.

3. The Likelihood Function.

4. Bayes' Theorem.

5. Prior Distributions.

PART II: NUMERICAL IMPLEMENTATION OF THE BAYESIAN PARADIGM.

6. Markov Chain Monte Carlo Methods (Siddhartha Chib).

7. Large Sample Posterior Distributions and Approximations.

PART III: BAYESIAN STATISTICAL INFERENCE AND DECISION MAKING.

8. Bayesian Estimation.

9. Bayesian Hypothesis Testing.

10. Predictivism.

11. Bayesian Decision Making.

PART IV: MODELS AND APPLICATIONS.

12. Bayesian Inference in the General Linear Model.

13. Model Averaging (Merlise Clyde).

14. Hierarchical Bayesian Modeling (Alan Zaslavsky).

15. Bayesian Factor Analysis.

16. Bayesian Inference in Classification and Discrimination.

Description of Appendices.

Appendix 1. Bayes, Thomas, (Hilary L. Seal).

Appendix 2. Thomas Bayes. A Bibliographical Note (George A. Barnard).

Appendix 3. Communication of Bayes' Essay to the Philosophical Transactions of the Royal Society of London (Richard Price).

Appendix 4. An Essay Towards Solving a Problem in the Doctrine of Chances (Reverend Thomas Bayes).

Appendix 5. Applications of Bayesian Statistical Science.

Appendix 6. Selecting the Bayesian Hall of Fame.

Appendix 7. Solutions to Selected Exercises.

Bibliography.

Subject Index.

Author Index.

"...written in a clear, accessible manner...an enjoyable
read and a comprehensive introduction to Bayesian theory and
methods." (Journal of the American Statistical Association,
March 2005)

"The book is well written. It should continue the success of the
first edition and become the main reference book in the
field." (Interfaces, March-April 2004)

"...among several books I have reviewed, this is one of the
best. I very strongly recommend this book to statisticians and
applied researchers." (Journal of Statistical Computation &
Simulation, March 2004)

"...a welcome addition to the library of any practicing
statistician, not only as a thorough and readable text on Bayesian
statistics, but also as a rich source of reference material for
understanding the historical development of the subject."
(Technometrics, Vol. 45, No. 4, November 2003)

"...a second edition...but really a new book, not merely
the first edition with a few changes inserted...a completely
restructured book with major new chapters and material..."
(Quarterly of Applied Mathematics, Vol. LXI, No. 2, June
2003)

"...this second edition is a completely restructured book with
major new chapters and material..." (Zentralblatt Math,
2003)