Skip to main content
U.S. flag

An official website of the United States government

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)

Chih-Ming Wang, Hariharan K. Iyer

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

Keywords

GUM, mean-squared error, ratio estimation, simulation.

Citation

Wang, C. and Iyer, H. (2011), On Non-Linear Estimation of a Measurand, Metrologia (Accessed February 29, 2024)
Created November 7, 2011, Updated February 19, 2017