Bayesian Reasoning In Data Analysis

A Critical Introduction

By: Giulio D'Agostini

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Hardcover | 16 June 2003

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352 Pages

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23.4 x 15.3 x 2.4

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A multi-level introduction to Bayesian reasoning (as opposed to "conventional statistics") and its applications to data analysis. The basic ideas of this 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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.,." D'Agostini's new book builds an edifice of Bayesian statistical reasoning in the physical sciences on solid foundations.?

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Critical review and outline of the Bayesian alternative	p. 1
Uncertainty in physics and the usual methods of handling it	p. 3
A probabilistic theory of measurement uncertainty	p. 25
A Bayesian primer	p. 49
Subjective probability and Bayes' theorem	p. 51
Probability distributions (a concise reminder)	p. 89
Bayesian inference of continuous quantities	p. 115
Gaussian likelihood	p. 123
Counting experiments	p. 141
Bypassing Bayes' theorem for routine applications	p. 169
Bayesian unfolding	p. 203
Further comments, examples and applications	p. 209
Miscellanea on general issues in probability and inference	p. 211
Combination of experimental results: a closer look	p. 247
Asymmetric uncertainties and nonlinear propagation	p. 267
Which priors for frontier physics?	p. 285
Conclusion	p. 305
Conclusions and bibliography	p. 307
Bibliography	p. 313
Index	p. 325
Table of Contents provided by Blackwell. All Rights Reserved.

Bayesian Reasoning In Data Analysis

A Critical Introduction

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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