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Measurement uncertainties in science and technology

Author: Michael Grabe
Publisher: Berlin ; London : Springer, 2005.
Edition/Format:   Print book : English
Summary:
"At the turn of the 19th century, Carl Friedrich Gauss founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart of science." "In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauss' error calculus ab initio, he treats random and unknown systematic  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michael Grabe
ISBN: 3540209441 9783540209447
OCLC Number: 56448740
Description: xi, 269 pages : illustrations ; 24 cm
Contents: 1. Basic ideas of measurement --
2. Formalization of measuring processes --
3. Densities of normal parent distributions --
4. Estimators and their expectations --
5. Combination of measurement errors --
6. Propagation of measurement errors --
7. Least squares formalism --
8. Consequences of systematic errors --
9. Uncertainties of least squares estimators --
10. Systems with two parameters --
11. Systems with three parameters --
12. Special metrology systems --
App. A. On the rank of some matrices --
App. B. Variance-covariance matrices --
App. C. Linear functions of normal variables --
App. D. Orthogonal projections --
App. E. Least squares adjustments --
App. F. Expansion of solution vectors --
App. G. Student's density --
App. H. Quantiles of hotelling's density.
Responsibility: Michael Grabe.
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Abstract:

At the turn of the 19th century, Carl Friedrich Gauss founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart  Read more...

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