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Probability theory : the logic of science

Author: E T Jaynes; G Larry Bretthorst; Ebrary, Inc.
Publisher: Cambridge, UK [u.a.] : Cambridge University Press, 2003.
Edition/Format:   Computer file : English : [Online-Ausg.]View all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Erscheint auch als:
Jaynes, Edwin T., 1922-1998
Probability theory
Cambridge : Cambridge Univ. Press, 2003
XXIX, 727 S.
Druck-Ausgabe
Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: E T Jaynes; G Larry Bretthorst; Ebrary, Inc.
ISBN: 0521592712 9780521592710 9780511790423 0511790422
OCLC Number: 704513655
Reproduction Notes: Online-Ausg. Palo Alto, Calif. ebrary, 2009. online-Ressource.
Description: xxix, 727 p. ; 26 cm.
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.
Responsibility: E.T. Jaynes ; edited by G. Larry Bretthorst.

Abstract:

A comprehensive introduction to the role of probability theory in general scientific endeavour. This book provides an original interpretation of probability theory, showing the subject to be an  Read more...

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'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 Read more...

 
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