Probability Theory (v.1)

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.

ISBN 0521592712   Pages 758 ISBN13 9780521592710 (What's this?)   Part volume Principles and Elementary Applications Publisher Cambridge University Press   Volumes 1 Imprint Cambridge University Press   Weight (grammes) 1633 Format Hardback   Published in Cambridge Publication date 10 Apr 2003   Height (mm) 247 Non-book description book   Width (mm) 174 Library of Congress QA273 .J36 2003   Spine width (mm) 39 DEWEY 519.2   Academic level Professional / Scholarly DEWEY edition DC21

		Editor's foreword
		Preface
Pt. I		Principles and elementary applications
1		Plausible reasoning		3
2		The quantitative rules		24
3		Elementary sampling theory		51
4		Elementary hypothesis testing		86
5		Queer uses for probability theory		119
6		Elementary parameter estimation		149
7		The central, Gaussian or normal distribution		198
8		Sufficiency, ancillarity, and all that		243
9		Repetitive experiments: probability and frequency		270
10		Physics of 'random experiments'		314
Pt. II		Advanced applications
11		Discrete prior probabilities: the entropy principle		343
12		Ignorance priors and transformation groups		372
13		Decision theory, historical background		397
14		Simple applications of decision theory		426
15		Paradoxes of probability theory		451
16		Orthodox methods: historical background		490
17		Principles and pathology of orthodox statistics		509
18		The A[subscript p] distribution and rule of succession		553
19		Physical measurements		589
20		Model comparison		601
21		Outliers and robustness		615
22		Introduction to communication theory		627
		More...

'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

 Be the first to write a customer review