Multidimensional uncertainties are borne by confidence ellipsoids and security polytopes.


Tangent Plane Discrete Step Uncertainty Region Rectangular Coordinate System Confidence Ellipse 
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  1. 11.
    D.R. Chand, S.S. Kapur, An algorithm for convex polytopes. J. Assoc. Comput. Mach. 17, 78–86 (1979) CrossRefMathSciNetGoogle Scholar

Works by the Author

  1. 24.
    M. Grabe, Anpassung eines Kreises nach kleinsten Quadraten (Least squares fitting of a circle), in Jahresbericht der Physikalisch-Technischen Bundesanstalt (1989), pp. 210–211 Google Scholar
  2. 27.
    M. Grabe, Uncertainties, confidence ellipsoids and security polytopes in LSA. Phys. Lett. A 165, 124–132 (1992). Erratum A 205, 425 (1995) ADSCrossRefGoogle Scholar
  3. 29.
    M. Grabe, On the estimation of one- and multidimensional uncertainties, in Proceedings of the National Conference of Standards Laboratories, Albuquerque, USA, 25–29 July 1993, pp. 569–576 Google Scholar
  4. 39.
    M. Grabe, Generalized Gaussian Error Calculus (Springer, Berlin, 2010), 301 p. 100 illus., ISBN 978-3-642-03304-9, e-ISBN 978-3-642-03305-6 CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Michael Grabe
    • 1
  1. 1.BraunschweigGermany

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