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Probability Theory

Probability Theory
The Logic of Science

£63.00

  • Date Published: April 2003
  • availability: In stock
  • format: Hardback
  • isbn: 9780521592710

£63.00
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About the Authors
  • 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.

    • 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
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    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

    '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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    Product details

    • Date Published: April 2003
    • format: Hardback
    • isbn: 9780521592710
    • length: 753 pages
    • dimensions: 256 x 180 x 39 mm
    • weight: 1.633kg
    • availability: In stock
  • 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.

  • Author

    E. T. Jaynes

    Editor

    G. Larry Bretthorst

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