Skip to main content
Erschienen in:
Buchtitelbild

2018 | OriginalPaper | Buchkapitel

1. Introduction and Necessary Distinctions

verfasst von : Eduard Hofer

Erschienen in: The Uncertainty Analysis of Model Results

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

At the beginning of the previous century, it was traditional among engineers and physicists to perform an error analysis of both measurements and computations (Dubbel 1939). The enormous computational capabilities, that became available since, enabled the development of complex computer models. They make use of numerous parameters, various sub-models and large numbers of input data subject to uncertainty that is, however, frequently ignored. One of the reasons in the past was the difficulty, if not impossibility, of performing an uncertainty analysis of the results from computationally demanding models. Combining powerful statistical methods, as described in the following chapters, with today’s computational capabilities opens the door to uncertainty analysis as a standard procedure.
This chapter leads through the developmental stages of a computer model and points out their sources of epistemic uncertainties. The difference between “epistemic uncertainty” and “aleatoric uncertainty” is explained. It necessitates the use of two different interpretations of “probability” for their quantification. Epistemic uncertainty is quantified using subjective probability. The need for separation of epistemic and aleatoric uncertainties arises from the type of assessment question that is to be answered by the model result. This is explained and illustrated by practical examples.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
Not to be confused with “Type B uncertainty evaluation” in (Joint Committee for Guides in Metrology 2008).
 
2
Not to be confused with “Type A uncertainty evaluation” in (Joint Committee for Guides in Metrology 2008).
 
Literatur
Zurück zum Zitat Aven, T. (2010). Some reflections on uncertainty analysis and management. Reliability Engineering & System Safety, 95, 195–201.CrossRef Aven, T. (2010). Some reflections on uncertainty analysis and management. Reliability Engineering & System Safety, 95, 195–201.CrossRef
Zurück zum Zitat Dubbel, H. (Ed.). (1939). Taschenbuch für den Maschinenbau. Berlin: Springer. Dubbel, H. (Ed.). (1939). Taschenbuch für den Maschinenbau. Berlin: Springer.
Zurück zum Zitat Glorennec, P. (2006). Analysis and reduction of the uncertainty of the assessment of children’s lead exposure around an old mine. Environmental Research, 100, 150–158.CrossRef Glorennec, P. (2006). Analysis and reduction of the uncertainty of the assessment of children’s lead exposure around an old mine. Environmental Research, 100, 150–158.CrossRef
Zurück zum Zitat Hofer, E. (1996). When to separate uncertainties and when not to separate. Reliability Engineering and System Safety, 54, 113–118.CrossRef Hofer, E. (1996). When to separate uncertainties and when not to separate. Reliability Engineering and System Safety, 54, 113–118.CrossRef
Zurück zum Zitat Hoffman, F. O., & Hammonds, J. S. (1994). Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability. Risk Analysis, 14(5), 707–712.CrossRef Hoffman, F. O., & Hammonds, J. S. (1994). Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability. Risk Analysis, 14(5), 707–712.CrossRef
Zurück zum Zitat Joint Committee for Guides in Metrology. (2008). Evaluation of measurement data – Guide to the expression of uncertainty in measurement (1st ed.). JCGM 100 (GUM 1995 with minor corrections). Joint Committee for Guides in Metrology. (2008). Evaluation of measurement data – Guide to the expression of uncertainty in measurement (1st ed.). JCGM 100 (GUM 1995 with minor corrections).
Zurück zum Zitat Koch, F. H., et al. (2009). Evaluating critical uncertainty thresholds in a spatial model of forest pest invasion risk. Risk Analysis, 29(9), 1227–1241.CrossRef Koch, F. H., et al. (2009). Evaluating critical uncertainty thresholds in a spatial model of forest pest invasion risk. Risk Analysis, 29(9), 1227–1241.CrossRef
Zurück zum Zitat Ragas, A. M. J., et al. (2008). Separation of uncertainty and inter-individual variability in human exposure modeling. Journal of Exposure Science and Environmental Epidemiology, 19, 201–212.CrossRef Ragas, A. M. J., et al. (2008). Separation of uncertainty and inter-individual variability in human exposure modeling. Journal of Exposure Science and Environmental Epidemiology, 19, 201–212.CrossRef
Zurück zum Zitat Sanchez, A., et al. (2009). Addressing imperfect maintenance modeling uncertainty in unavailability and cost based optimization. Reliability Engineering and System Safety, 94, 22–32.CrossRef Sanchez, A., et al. (2009). Addressing imperfect maintenance modeling uncertainty in unavailability and cost based optimization. Reliability Engineering and System Safety, 94, 22–32.CrossRef
Zurück zum Zitat Warren-Hicks, W. J., & Hart, A. (2010). Application of uncertainty analysis to ecological risks of pesticides. Boca Raton, FL: CRC Press. Warren-Hicks, W. J., & Hart, A. (2010). Application of uncertainty analysis to ecological risks of pesticides. Boca Raton, FL: CRC Press.
Zurück zum Zitat Weathers, J. B., et al. (2009). An exercise in model validation: Comparing univariate statistics and Monte Carlo based multivariate statistics. Reliability Engineering and System Safety, 94, 1695–1702.CrossRef Weathers, J. B., et al. (2009). An exercise in model validation: Comparing univariate statistics and Monte Carlo based multivariate statistics. Reliability Engineering and System Safety, 94, 1695–1702.CrossRef
Metadaten
Titel
Introduction and Necessary Distinctions
verfasst von
Eduard Hofer
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-76297-5_1