Probability Theory The Logic of Science

Name: Probability Theory The Logic of Science
Price: 123.82 USD
Availability: InStock
ISBN: 9780521592710

ISBN-10: 0521592712

ISBN-13: 9780521592710

Edition: 2003

Authors: E. T. Jaynes, G. Larry Bretthorst

List price: $129.00

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Description:

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…

Book details

List price: $129.00
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 4/10/2003
Binding: Hardcover
Pages: 753
Size: 7.09" wide x 10.08" long x 1.54" tall
Weight: 3.762
Language: English

fm.author_biographical_note



Foreword


Preface



Principles and Elementary Applications



Plausible reasoning



The quantitative rules



Elementary sampling theory



Elementary hypothesis testing



Queer uses for probability theory



Elementary parameter estimation



The central, Gaussian or normal distribution



Sufficiency, ancillarity, and all that



Repetitive experiments, probability and frequency



Physics of 'random experiments'



Advanced Applications



Discrete prior probabilities, the entropy principle



Ignorance priors and transformation groups



Decision theory: historical background



Simple applications of decision theory



Paradoxes of probability theory



Orthodox methods: historical background



Principles and pathology of orthodox statistics



The Ap distribution and rule of succession



Physical measurements



Model comparison



Outliers and robustness



Introduction to communication theory


References



Other approaches to probability theory



Mathematical formalities and style



Convolutions and cumulants