Probability Theory
The Logic of Science
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 Author: E. T. Jaynes
 Editor: G. Larry Bretthorst
 format: Adobe eBook Reader
 isbn: 9780511059582
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The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
Read more Unique interpretation of probability theory, containing new and original work by the author
 Applications of probability theory to a wide range of problems in physics and other areas
 The interpretation of probability as an extension of logic, dispelling many of the paradoxes usually associated with probability theory
Reviews & endorsements
'This is not an ordinary text. It is an unabashed, hard sell of the Bayesian approach to statistics. It is wonderfully down to earth, with hundreds of telling examples. Everyone who is interested in the problems or applications of statistics should have a serious look.' SIAM News
See more reviews'This book could be of interest to scientists working in areas where inference of incomplete information should be made.' Zentralblatt MATH
'… the author thinks for himself … and writes in a lively way about all sorts of things. It is worth dipping into it if only for vivid expressions of opinion. The annotated References and Bibliography are particularly good for this.' Notices of the American Mathematical Society
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 format: Adobe eBook Reader
 isbn: 9780511059582
Table of Contents
Foreword
Preface
Part I. Principles and Elementary Applications:
1. Plausible reasoning
2. The quantitative rules
3. Elementary sampling theory
4. Elementary hypothesis testing
5. Queer uses for probability theory
6. Elementary parameter estimation
7. The central, Gaussian or normal distribution
8. Sufficiency, ancillarity, and all that
9. Repetitive experiments, probability and frequency
10. Physics of 'random experiments'
Part II. Advanced Applications:
11. Discrete prior probabilities, the entropy principle
12. Ignorance priors and transformation groups
13. Decision theory: historical background
14. Simple applications of decision theory
15. Paradoxes of probability theory
16. Orthodox methods: historical background
17. Principles and pathology of orthodox statistics
18. The Ap distribution and rule of succession
19. Physical measurements
20. Model comparison
21. Outliers and robustness
22. Introduction to communication theory
References
Appendix A. Other approaches to probability theory
Appendix B. Mathematical formalities and style
Appendix C. Convolutions and cumulants.
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