Probability theory : the logic of science
 Author/Creator
 Jaynes, E. T. (Edwin T.)
 Language
 English.
 Imprint
 Cambridge, UK ; New York, NY : Cambridge University Press, 2003.
 Physical description
 xxix, 727 p. ; 26 cm.
Access
Available online
 www.myilibrary.com MyiLibrary
 site.ebrary.com ebrary
 Cambridge Books Online

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QA273 .J36 2003

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QA273 .J36 2003

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QA273 .J36 2003
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Contributors
 Contributor
 Bretthorst, G. Larry.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 705720) and indexes.
 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.
 (source: Nielsen Book Data)
 Publisher's 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 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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Table of contents
Subjects
 Subject
 Probabilities.
Bibliographic information
 Publication date
 2003
 Responsibility
 E.T. Jaynes ; edited by G. Larry Bretthorst.
 ISBN
 0521592712
 9780521592710