Manfred Drosg

Dealing with Uncertainties (eBook, PDF)

A Guide to Error Analysis

• Format: PDF

Produktbeschreibung

A new approach towards uncertainties is taken. Firstly, it is shown that uncertainties are the consequence of modern science rather than of measurements. Secondly, the importance of internal uncertainties is stressed. They can deal with the uncertainty of a single data point and with sets of data having differing weights. Both cases cannot be handled with external uncertainties which are usually considered. The handling of both uncorrelated and correlated uncertainties is fully covered. The weakness of using statistical weights in regression analysis is discussed. Examples are given for correlations in data evaluations and for the feedback of uncertainties on experiments.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 235
• Erscheinungstermin: 30. Juli 2009
• Englisch
• ISBN-13: 9783642013843
• Artikelnr.: 37370841

Inhaltsangabe

Basics on Data.- Basics on Uncertainties.- Radioactive Decay,a Model for Random Events.- Frequency and Probability Distributions.- Deductive Approach to Uncertainty.- Correlation.- Dealing with Internal Uncertainties.- Presentation and Estimation of Uncertainties.- Feedback of Uncertainties on Experiment Design.

Rezensionen

From the reviews:

"Drosg ... emphasizes that uncertainties should not always be viewed as indication of errors but, rather, be embraced by the fact that they will always exist in science and therefore are required to be addressed like any other numbers or data utilized in the study of applied mathematics or science. Drosg has vast experience in nuclear physics and electronics, as is evident from the numerous examples in his book. ... Summing Up: Recommended. Faculty; researchers; professionals." (J. T. Zerger, CHOICE, Vol. 44 (11), July, 2007)

From the reviews of the second edition:

"Graduate and undergraduate students and researchers of technical and physical sciences. This book works hard to make a distinction between 'errors' and 'uncertainties'. In most cases, the term uncertainty is indeed more appropriate and informative, but the word error has been used widely in many areas ... . The connections with statistics and probability are easy to follow and the book includes many useful exercises and their answers." (Kimmo Vehkalahti, International Statistical Review, Vol. 78 (1), 2010)