Generalized Gaussian Error Calculus

Author:   Michael Grabe
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2010 ed.
ISBN:  

9783642424366


Pages:   301
Publication Date:   13 December 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Generalized Gaussian Error Calculus


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Overview

The book of nature is written in the language of mathematics Galileo Galilei, 1623 Metrology strives to supervise the ?ow of the measurand's true values throughconsecutive,arbitrarilyinterlockingseriesofmeasurements.Tohi- light this feature the term traceability has been coined. Traceability is said to be achieved, given the true values of each of the physical quantities entering and leaving the measurement are localized by speci?ed measu- ment uncertainties. The classical Gaussian error calculus is known to be con?ned to the tre- ment of random errors. Hence, there is no distinction between the true value of a measurand on the one side and the expectation of the respective es- mator on the other. This became apparent not until metrologists considered the e?ect of so-called unknown systematic errors. Unknown systematic errors are time-constant quantities unknown with respect to magnitude and sign. While random errors are treated via distribution densities, unknown syst- atic errors can only be assessed via intervals of estimated lengths. Unknown systematic errors were, in fact, addressed and discussed by Gauss himself. Gauss, however, argued that it were up to the experimenter to eliminate their causes and free the measured values from their in?uence.

Full Product Details

Author:   Michael Grabe
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2010 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.486kg
ISBN:  

9783642424366


ISBN 10:   3642424368
Pages:   301
Publication Date:   13 December 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Reviews

From the reviews: This book is aimed at the metrology community. ... The approach elaborated in this book assesses unknown systematic errors via intervals of estimated lengths. ... the author proposes the generalized Gaussian approach presented here as one which produces reliable measurement uncertainties meeting the demands of traceability. (Rainer Schlittgen, Zentralblatt MATH, Vol. 1210, 2011)


From the reviews: This book is aimed at the metrology community. The approach elaborated in this book assesses unknown systematic errors via intervals of estimated lengths. the author proposes the generalized Gaussian approach presented here as one which produces reliable measurement uncertainties meeting the demands of traceability. (Rainer Schlittgen, Zentralblatt MATH, Vol. 1210, 2011)


Author Information

1967 Graduation in Physics at the Technical University of Stuttgart 1970 Doctorate at the Technical University of Braunschweig 1970 – 1975 Scientific assistant and lecturer at the Technical University of Braunschweig 1975 – 2004 Member of Staff at the Physikalische Technischer Bundesanstalt Braunschweig, commissioned to legal metrology, computerized interferometric measurment of length, measurement uncertainties and the adjustment of physical constants

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