New expressions for higher order uncertainty propagation

  • S. Mekid*
  • , D. Vaja
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Higher-order moments may exhibit many desirable properties, among which are the detection and characterization of non-linearities and probable sources of errors. The propagation of uncertainty in higher orders with corresponding mean values is frequently required to track, for example, non-linearities in systems. This propagation is modelled by higher order terms. Higher order uncertainty analysis can reveal effects of physical phenomena in the instance of multiple variables composing the measurement. In this paper, complete expressions of second and third order average and uncertainty of measurements have been derived for one variable system. An example is given to illustrate the magnitude of these orders and results are compared with other methods.

Original languageEnglish
Title of host publicationProceedings of the 7th International Conference European Society for Precision Engineering and Nanotechnology, EUSPEN 2007
EditorsE. Thornett
Publishereuspen
Pages341-344
Number of pages4
ISBN (Electronic)0955308224, 9780955308222
StatePublished - 2007
Externally publishedYes

Publication series

NameProceedings of the 7th International Conference European Society for Precision Engineering and Nanotechnology, EUSPEN 2007
Volume1

Bibliographical note

Publisher Copyright:
© euspen Headquarters.

ASJC Scopus subject areas

  • General Materials Science
  • Instrumentation
  • Environmental Engineering
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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