E. T. JaynesCambridge University Press, 4/10/2003EAN 9780521592710, ISBN10: 0521592712Hardcover, 753 pages, 25.6 x 18 x 3.9 cmLanguage: EnglishThe 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.ForewordPrefacePart I. Principles and Elementary Applications1. Plausible reasoning2. The quantitative rules3. Elementary sampling theory4. Elementary hypothesis testing5. Queer uses for probability theory6. Elementary parameter estimation7. The central, Gaussian or normal distribution8. Sufficiency, ancillarity, and all that9. Repetitive experiments, probability and frequency10. Physics of 'random experiments'Part II. Advanced Applications11. Discrete prior probabilities, the entropy principle12. Ignorance priors and transformation groups13. Decision theoryhistorical background14. Simple applications of decision theory15. Paradoxes of probability theory16. Orthodox methodshistorical background17. Principles and pathology of orthodox statistics18. The Ap distribution and rule of succession19. Physical measurements20. Model comparison21. Outliers and robustness22. Introduction to communication theoryReferencesAppendix A. Other approaches to probability theoryAppendix B. Mathematical formalities and styleAppendix C. Convolutions and cumulants.'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
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