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Propagation of uncertainties in measurements using generalized influence



Hariharan K. Iyer, Chih-Ming Wang


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 permits the use of "other analytical or numerical methods" when the conditions for using the Taylor expansion do not apply. In this paper we propose an alternative approach for evaluating measurement uncertainty based on the principle of generalized inference. The proposed approach can be applied to measurement models having any number of input quantities and a vector-valued measurand. We use several examples from the GUM to illustrate the implementation of the proposed approach for the calculation of uncertainties in measurement results.


Generalized pivotal quantity, ISO GUM


Iyer, H. and Wang, C. (2005), Propagation of uncertainties in measurements using generalized influence, Metrologia (Accessed June 24, 2024)


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Created December 31, 2004, Updated October 12, 2021