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Propagation of uncertainties in measurements using generalized influence

Published

Author(s)

Hariharan K. Iyer, Chih-Ming Wang

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 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.
Citation
Metrologia
Volume
42

Keywords

Generalized pivotal quantity, ISO GUM
Created January 1, 2005, Updated February 17, 2017