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    Probability Theory: Principles and Elementary Applications v.1: The Logic of Science (Hardback) By (author) E. T. Jaynes, Edited by G. Larry Bretthorst

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    DescriptionThe 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.


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  • Full bibliographic data for Probability Theory: Principles and Elementary Applications v.1

    Title
    Probability Theory: Principles and Elementary Applications v.1
    Subtitle
    The Logic of Science
    Authors and contributors
    By (author) E. T. Jaynes, Edited by G. Larry Bretthorst
    Physical properties
    Format: Hardback
    Number of pages: 753
    Width: 178 mm
    Height: 249 mm
    Thickness: 41 mm
    Weight: 1,588 g
    Language
    English
    ISBN
    ISBN 13: 9780521592710
    ISBN 10: 0521592712
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    DC21: 519.2
    B&T Modifier: Region of Publication: 03
    BIC subject category V2: PH, PDE, PBT
    LC subject heading:
    Ingram Subject Code: SE
    B&T General Subject: 710
    B&T Modifier: Academic Level: 02
    B&T Modifier: Text Format: 06
    BIC subject category V2: TBJ
    DC22: 519.2
    LC subject heading:
    BISAC V2.8: MAT029000
    Warengruppen-Systematik des deutschen Buchhandels: 16400
    B&T Merchandise Category: UP
    BISAC V2.8: SCI040000
    LC classification: QA273 .J36 2003
    Thema V1.0: PBT, PH, PDE
    Edition
    Annotated
    Edition statement
    New ed.
    Publisher
    CAMBRIDGE UNIVERSITY PRESS
    Imprint name
    CAMBRIDGE UNIVERSITY PRESS
    Publication date
    09 June 2003
    Publication City/Country
    Cambridge
    Review quote
    '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
    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.