Analytical Methods for the Propagation of Uncertainties

Stephen Crowder, Collin Delker, Eric Forrest and Nevin Martin ()
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Stephen Crowder: Sandia National Laboratories
Collin Delker: Sandia National Laboratories
Eric Forrest: Sandia National Laboratories
Nevin Martin: Sandia National Laboratories

Chapter Chapter 7 in Introduction to Statistics in Metrology, 2020, pp 131-151 from Springer

Abstract: Abstract An indirect measurement is a measurement where multiple quantities are measured and combined through a model equation to obtain the value of the measurand. This chapter presents analytical methods for determining the uncertainty in the measurand when the individual measured quantities each have their own uncertainty. A full derivation of what is commonly known as the GUM method is provided, for the cases of both uncorrelated and correlated input measurements. Nonlinear models and higher-order terms are also discussed, along with the case where the measurement model results in multiple output quantities. Finally, some limitations and assumptions of this analytical approach are presented.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-53329-8_7

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DOI: 10.1007/978-3-030-53329-8_7

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