Probability Theory: The Logic of Science

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Probability Theory: The Logic of Science

Format:  Hardcover,

727 pages

Publisher: Cambridge Univ Pr

Publish Date: Jun 2003

ISBN-13: 9780521592710

ISBN-10: 0521592712

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Book Information

The following content was provided by the publisher.
Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

Specifications

Publisher: Cambridge Univ Pr
Publish Date: Jun 2003
ISBN-13: 9780521592710
ISBN-10: 0521592712
Format: Hardcover
Number of Pages: 727
Shipping Weight (in pounds): 3.66
Product in Inches (L x W x H): 7.25 x 10.25 x 1.5
Walmart No.: 0521592712

Chapter outline

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

Book description

Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

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