Wang, C.
and Iyer, H.
(2005),
On Higher Order Corrections for Propagating Uncertainties, Metrologia
(Accessed September 21, 2025)
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On Higher Order Corrections for Propagating Uncertainties
Published
Author(s)
,
Abstract
The ISO Guide to the Expression of Uncertainty in Measurement (GUM) recommends the use of a first-order Taylor series expansion for propagating errors and uncertainties. The GUM also suggests the use of a second-order Taylor series approximation for calculating uncertainties when the first-order approximation alone is not adequate. In this paper we derive the formulas for evaluating measurement uncertainty based on a second-order Taylor series approximation. We provide a computer program that uses symbolic derivatives to calculate the second-order approximations of the uncertainty in measurement results.Citation
Metrologia
Volume
42
Pub Type
Journals
Keywords
GUM, propagation of error, software, Taylor series expansion
Citation
Issues
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Created December 31, 2004, Updated October 12, 2021