A Method for Estimating the Resultant Expanded Uncertainty Value Based on Interval Arithmetic

Abstract

The article describes a method for determining the resultant expanded uncertainty value in the case of analyzing an uncertainty budget with many components. It employs interval arithmetic, known for its low calculation complexity compared to other methods in the literature. The article includes a detailed explanation of the proposed method and showcases its applications. Results are compared with those from the Monte Carlo method and assumptions based on the central limit theorem. The relative error in estimating the resulting expanded uncertainty value typically stays within ±5% of the Monte Carlo method’s result.

Keywords

• uncertainty estimation
• uncertainty budget analysis
• expanded uncertainty
• interval arithmetic