2018
DOI: 10.1088/1361-6501/aae50f
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A unified theory of measurement errors and uncertainties

Abstract: This paper presents a unified theory of measurement errors and uncertainties. The proposed theory unifies the theory of errors with the theory of measurement uncertainties and merges some of the best practices in error and uncertainty analysis. The unified theory is based entirely on the frequentist statistics. It recovers the traditional classification of random and systematic errors (as the primary classification) and retains the GUM’s Type A and Type B classification (as the secondary classification). The u… Show more

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Cited by 26 publications
(24 citation statements)
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“…Despite much that was subsequently published about measurement accuracy in the nineteenth century e.g. [80][81][82][83][84][85], it remains both a topic for discussion and also confusion for students of the sciences to the present day [86][87][88].…”
Section: Mid-nineteenth Century Terminal Ballistics Experimentsmentioning
confidence: 99%
“…Despite much that was subsequently published about measurement accuracy in the nineteenth century e.g. [80][81][82][83][84][85], it remains both a topic for discussion and also confusion for students of the sciences to the present day [86][87][88].…”
Section: Mid-nineteenth Century Terminal Ballistics Experimentsmentioning
confidence: 99%
“…To provide a fair comparison between characterization techniques, a figure of merit is needed. One of the most common approaches to ascertain the validity of a measurement method is by analyzing the error, the uncertainty, or other statistical measure of the deviations of the obtained results [15][16][17][18][19][20][21][22]. Many of the mentioned published measurements fail to provide a proper quantification of this deviation [1][2][3]9].…”
Section: Introductionmentioning
confidence: 99%
“…On top of that, even when an estimation of the accuracy of a measurement is provided, in most cases the statistical distribution of the uncertainties is needed. This knowledge is often not given by the manufacturers and has to be assumed [18]. To avoid such problems, sometimes a Monte-Carlo analysis is performed, using simulation models of the magnetic component under test and the instrumentation.…”
Section: Introductionmentioning
confidence: 99%
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“…Para poder realizar la comparativa entre los diferentes métodos de medida es necesario emplear una figura de mérito. Una de las aproximaciones más comunes consiste en valorar la precisión del procedimiento de medida mediante un análisis de su error, su incertidumbre, o cualquier medida estadística de la desviación en los resultados [70][71][72][73][74][75][76][77]. Muchos de los métodos presentados no aportan estimaciones apropiadas de estas medidas de desviación [15,22,58,64].…”
Section: Introductionunclassified