Wang, C.
and Iyer, H.
(2011),
On Non-Linear Estimation of a Measurand, Metrologia
(Accessed May 29, 2023)
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On Non-Linear Estimation of a Measurand
Published
Author(s)
,
Abstract
We consider an estimation problem described in the Guide to the Expression of Uncertainty in Measurement (GUM). The problem is concerned with estimating a measurand that is a non-linear function of input quantities. The GUM describes two methods for estimating the measurand -- method 1 is based on the same non-linear function of input-quantity estimates and method 2 is based on the mean of that function of individual measurements. We use several examples to compare the two methods based on their mean-squared errors and to demonstrate that a uniformly preferred method may not be available except for the simplest cases. We also consider an approach based on the Monte Carlo method in Supplement 1 of the GUM for the problem and compare it with the two methods.Citation
Metrologia
Volume
49
Pub Type
Journals
Keywords
GUM, mean-squared error, ratio estimation, simulation.
Citation
Created November 7, 2011, Updated February 19, 2017