Résumé
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.
Contents
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'
- 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
Bibliography
Index
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Cambridge University Press |
Auteur(s) | E.T. Jaynes |
Parution | 25/04/2003 |
Nb. de pages | 756 |
Format | 17,7 x 25,5 |
Couverture | Relié |
Poids | 1637g |
Intérieur | Noir et Blanc |
EAN13 | 9780521592710 |
ISBN13 | 978-0-521-59271-0 |
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