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Bayesian Reasoning in Data Analysis

Bayesian Reasoning in Data Analysis

Paperback

General MathematicsPhysicsProbability & Statistics

ISBN10: 9814447951
ISBN13: 9789814447959
Publisher: World Scientific Publishing Company
Published: Jun 26 2003
Pages: 352
Weight: 1.15
Height: 0.80 Width: 6.00 Depth: 8.90
Language: English
This book provides a multi-level introduction to Bayesian reasoning (as opposed to conventional statistics) and its applications to data analysis. The basic ideas of this new approach to the quantification of uncertainty are presented using examples from research and everyday life. Applications covered include: parametric inference; combination of results; treatment of uncertainty due to systematic errors and background; comparison of hypotheses; unfolding of experimental distributions; upper/lower bounds in frontier-type measurements. Approximate methods for routine use are derived and are shown often to coincide -- under well-defined assumptions! -- with standard methods, which can therefore be seen as special cases of the more general Bayesian methods. In dealing with uncertainty in measurements, modern metrological ideas are utilized, including the ISO classification of uncertainty into type A and type B. These are shown to fit well into the Bayesian framework.

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Probability & Statistics