Dealing with Uncertainties: A Guide to Error Analysis

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Springer Science & Business Media, Jul 30, 2009 - Science - 235 pages
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Dealing with Uncertainties is an innovative monograph that lays special emphasis on the deductive approach to uncertainties and on the shape of uncertainty distributions. This perspective has the potential for dealing with the uncertainty of a single data point and with sets of data that have different weights. It is shown that the inductive approach that is commonly used to estimate uncertainties is in fact not suitable for these two cases. The approach that is used to understand the nature of uncertainties is novel in that it is completely decoupled from measurements. Uncertainties which are the consequence of modern science provide a measure of confidence both in scientific data and in information in everyday life. Uncorrelated uncertainties and correlated uncertainties are fully covered and the weakness of using statistical weights in regression analysis is discussed. The text is abundantly illustrated with examples and includes more than 150 problems to help the reader master the subject.

 

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Contents

Introduction
1
Basics on Data
7
Basics on Uncertainties
17
Radioactive Decay a Model for Random Events
49
Frequency and Probability Distributions
69
Deductive Approach to Uncertainty
93
Correlation
115
Dealing with Internal Uncertainties
151
Presentation and Estimation of Uncertainties
173
Feedback of Uncertainties on Experiment Design
189
Solutions
209
Index
223
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