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.

Fiducial Approach to Uncertainty Assessment Accounting for Error due to Instrument Resolution

Published

Author(s)

Jan Hannig, Hariharan K. Iyer, Chih-Ming Wang

Abstract

This paper presents an approach for making inference on the mean and variance of a Gaussian distribution in the presence of resolution errors. The approach is based on the principle of fiducial inference and requires a Monte Carlo method for computing uncertainty intervals. A small simulation study is carried out to evaluate the performance of the proposed procedure and compare it with some of the existing procedures. The results show that the fiducial procedure is competitive with the best of the competing procedures for inference on the mean. However, unlike the competing procedures, the same Monte Carlo calculations also provide inference for the variance and many other related quantities of interest.
Citation
Metrologia
Volume
44

Keywords

fiducial inference, Markov chain Monte Carlo, resolution error.

Citation

Hannig, J. , Iyer, H. and Wang, C. (2007), Fiducial Approach to Uncertainty Assessment Accounting for Error due to Instrument Resolution, Metrologia (Accessed March 28, 2024)
Created December 31, 2006, Updated October 12, 2021