Year: 2001
Type: article
Abstract: A recent paper described the propagation of uncertainty with polynomial or Lagrange interpolation and demonstrated a number of mathematical results that simplify the calculation of uncertainty. This paper extends the analysis to any interpolation that can be expressed as a linear combination of functions. Examples of this form include Gauss, Fourier and linear least-squares interpolations, as well as a wide range of application-specific interpolations employing a combination of functional forms. Application of the results is illustrated by considering a number of the non-Lagrangian interpolation equations of the International Temperature Scale of 1990 (ITS-90). A comparison of Lagrange and least-squares approaches is used to highlight the benefits of the latter.
Source: Metrologia
Author: D R White
Language: English
Subfield: Statistics, Probability and Uncertainty
Field: Decision Sciences
Domain: Social Sciences
Open Access status: bronze
OpenAlex ID: W2032374812