Estimation of Probabilities An Essay on Modern Bayesian Methods

Name: Estimation of Probabilities An Essay on Modern Bayesian Methods
Price: 30.55 USD
Availability: InStock
ISBN: 9780262570152

ISBN-10: 0262570157

ISBN-13: 9780262570152

Edition: 2003

Authors: Irving John Good

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Description:

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 up in a connected manner. 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…

Book details

Copyright year: 2003
Publisher: MIT Press
Publication date: 3/17/2003
Binding: Paperback
Pages: 109
Size: 5.39" wide x 8.46" long x 0.33" tall
Weight: 0.814
Language: English



Foreword


Preface



Introduction



Kinds of Probability



Simple Sampling



Multiple Sampling



Multinomial Discrimination and Significance



Tests for Independence in Contingency Tables



Large Pure Contingency Tables



The Sampling of Species



Multidimensional Population Contingency Tables



Summary



The Incompatibility of Fiducial and Bayesian Inference



Hausdorff Summation as a Monte Carlo Process



Folded Contingency Tables



A Minimax Property of Singular Values of a Matrix



Learning from Experience in the Treatment of Contingency Tables


References


Index