The Estimation Of Probabilities An Essay on Modern Bayesian Methods

Language: English

Published by MIT Press, 2003

0262570157 / 9780262570152

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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. Sprache: Englisch Gewicht in Gramm: 154.…

Title
The Estimation Of Probabilities An Essay on Modern Bayesian Methods
Author
Irving John Good
Publisher
MIT Press
Publication year
2003
Condition
Neu
Binding
Softcover/Taschenbuch
Language
English
ISBN 10
0262570157
ISBN 13
9780262570152
Item weight
154 grams

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