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Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe

Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe Economic Quality Control 25 (2010), 169 – 172 DOI 10.1515 / EQC.2010.010 © de Gruyter 2010 Elart von Collani Civilization rests upon the art of measurement or metrology, only when metrology had been developed a noteworthy civilization emerged. Contemporary metrology and its attempt to take into account uncertainty have been the subject of some critical papers published in EQC. Very recently a monograph authored by Dr. Michael Grabe a retired staff member of the German PTB1 in Braunschweig was published by Springer under the title “Generalized Gaussian Error Calculus”2 . This monograph throws light on some of the problems modern metrology is fighting with and shall therefore reviewed here. The problems refer to the treatment of measurement uncertainty and are closely related to the calculus of error as introduced by Carl Friedrich Gauss. In metrology two types of error are distinguished the so-called random error and the systematic error, where the classical Gaussian error calculus is confined to the former one. This leads the author to conclude that “the metrological community needs to consider how the error calculus to-be should address the coexistence of random errors and unknown systematic errors.” The author continues:3 “In the late 1970s, a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe

Economic Quality Control , Volume 25 (2) – Dec 1, 2010

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Publisher
de Gruyter
Copyright
Copyright © 2010 by the
ISSN
1869-6147
eISSN
1869-6147
DOI
10.1515/eqc.2010.010
Publisher site
See Article on Publisher Site

Abstract

Economic Quality Control 25 (2010), 169 – 172 DOI 10.1515 / EQC.2010.010 © de Gruyter 2010 Elart von Collani Civilization rests upon the art of measurement or metrology, only when metrology had been developed a noteworthy civilization emerged. Contemporary metrology and its attempt to take into account uncertainty have been the subject of some critical papers published in EQC. Very recently a monograph authored by Dr. Michael Grabe a retired staff member of the German PTB1 in Braunschweig was published by Springer under the title “Generalized Gaussian Error Calculus”2 . This monograph throws light on some of the problems modern metrology is fighting with and shall therefore reviewed here. The problems refer to the treatment of measurement uncertainty and are closely related to the calculus of error as introduced by Carl Friedrich Gauss. In metrology two types of error are distinguished the so-called random error and the systematic error, where the classical Gaussian error calculus is confined to the former one. This leads the author to conclude that “the metrological community needs to consider how the error calculus to-be should address the coexistence of random errors and unknown systematic errors.” The author continues:3 “In the late 1970s, a

Journal

Economic Quality Controlde Gruyter

Published: Dec 1, 2010

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