Wang, C.
and Iyer, H.
(2011),
On Non-Linear Estimation of a Measurand, Metrologia
(Accessed May 2, 2025)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
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
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created November 7, 2011, Updated February 19, 2017