On the sensitivity of the results of least-squares adjustments concerning the stochastic model |
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| Authors: | H Kutterer |
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| Institution: | Geodetic Institute, University of Karlsruhe, Englerstra?e 7, D-76128 Karlsruhe, Germany e-mail: kutterer@gik.uni-karlsruhe.de; Tel.: +49 721 608 2309; Fax: +49 721 694552, DE
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| Abstract: | A proper perturbation theory of a mathematical model and the quantities derived by means of least-squares adjustments is
indispensable if the results have to be interpreted in a wider context. The sensitivity of some characteristic results of
least-squares adjustments such as the estimated values of the parameters and their variance–covariance matrix due to imminent
uncertainties of the stochastic model is discussed in detail. Linearizations are used with rigorous error measures and interval
mathematics. Numerical examples conclude the investigations.
Received: 27 December 1997 / Accepted: 19 April 1999 |
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| Keywords: | , Least-squares adjustment,Stochastic model,Sensitivity analysis,Interval mathematics |
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