The Estimation Of Probabilities

An Essay on Modern Bayesian Methods

Irving John Good

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English

MIT Press
17 March 2003

Mathematics

Series: MIT Press

The problem of how to estimate probabilities has interested philosophers, statisticians, actuaries, and mathematicians for a long time. It is currently of interest for automatic recognition, medical diagnosis, and artificial intelligence in general. This monograph reviews existing methods, including those that are new or have not been written up in a connected manner.

The problem of how to estimate probabilities has interested philosophers, statisticians, actuaries, and mathematicians for a long time. It is currently of interest for automatic recognition, medical diagnosis, and artificial intelligence in general. The main purpose of this monograph is to review existing methods, especially those that are new or have not been written about in an organized way. The need for nontrivial theory arises because our samples are usually too small for us to rely exclusively on the frequency definition of probability. Most of the techniques described in this book depend on a modern Bayesian approach. The maximum-entropy principle, also relevant to this discussion, is used in the last chapter. It is hoped that the book will stimulate further work in a field whose importance will increasingly be recognized.

Methods for estimating probabilities are related to another part of statistics, namely, significance testing, and example of this relationship are also presented.

Many readers will be persuaded by this work that it is necessary to make use of a theory of subjective probability in order to estimate physical probabilities and also that a useful idea is that of a hierarchy of three types of probability which can sometimes be identified with physical, logical, and subjective probabilities.

By: Irving John Good
Imprint: MIT Press
Country of Publication: United States
Dimensions: Height: 203mm, Width: 137mm, Spine: 25mm
Weight: 327g
ISBN: 9780262570152
ISBN 10: 0262570157
Series: MIT Press
Pages: 109
Publication Date: 17 March 2003
Recommended Age: From 18
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Irving Good was University Distinguished Professor of Statistics at Virginia Polytechnic Institute and State University as well as an adjunct professor of the Center for the Study of Science in Society and an adjunct professor of Philosophy.

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The Estimation Of Probabilities

An Essay on Modern Bayesian Methods

Irving John Good

$49.99

Paperback

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