Interpreting Probability

Author: David Howie
Publisher: Cambridge University Press
ISBN: 9781139434379
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The term probability can be used in two main senses. In the frequency interpretation it is a limiting ratio in a sequence of repeatable events. In the Bayesian view, probability is a mental construct representing uncertainty. This 2002 book is about these two types of probability and investigates how, despite being adopted by scientists and statisticians in the eighteenth and nineteenth centuries, Bayesianism was discredited as a theory of scientific inference during the 1920s and 1930s. Through the examination of a dispute between two British scientists, the author argues that a choice between the two interpretations is not forced by pure logic or the mathematics of the situation, but depends on the experiences and aims of the individuals involved. The book should be of interest to students and scientists interested in statistics and probability theories and to general readers with an interest in the history, sociology and philosophy of science.

Books in Print

Author: R.R. Bowker Company
Publisher:
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Probability Theory

Author: E. T. Jaynes
Publisher: Cambridge University Press
ISBN: 1139435167
Format: PDF, ePub
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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.

Conjectures and Refutations

Author: Karl Popper
Publisher: Routledge
ISBN: 1135971374
Format: PDF, ePub, Mobi
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Conjectures and Refutations is one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history. It provides one of the clearest and most accessible statements of the fundamental idea that guided his work: not only our knowledge, but our aims and our standards, grow through an unending process of trial and error.

Nuncius

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Annali di storia della scienza.

The Mathematics of Games

Author: David G. Taylor
Publisher: CRC Press
ISBN: 1482235455
Format: PDF, ePub, Docs
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The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not typically found in similar books. Written in an accessible, student-friendly style, the book uses questions about various games (not just casino games) to motivate the mathematics. The author explains the examples in detail and offers ample exercises for students to practice their skills. Both "mini-excursions" appearing at the end of each chapter and the appendices delve further into interesting topics, including the St. Petersburg paradox, binomial and normal distributions, Fibonacci numbers, and the traveling salesman problem. By exploring games of chance, this text gives students a greater understanding of probability. It helps them develop the intuition necessary to make better, more informed decisions in strategic situations involving risk. It also prepares them to study the world of statistics.

Elementary Decision Theory

Author: Herman Chernoff
Publisher: Courier Corporation
ISBN: 0486143775
Format: PDF, ePub, Docs
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This well-respected introduction to statistics and statistical theory covers data processing, probability and random variables, utility and descriptive statistics, computation of Bayes strategies, models, testing hypotheses, and much more. 1959 edition.