Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Generalyzed variance-covariance propagation law formulae and application to explicit least-squares adjustments
Abstract Standard formulae overlook the contribution of a number of terms in the derivation of variance-covariance matrices for parameters in nonlinear least squares adjustment. In a large class of nonlinear mathematical models, these terms can contribute to an important error in the estimation of parameter variances. Improved formulae are derived. A numerical example is given and the use of our improved formula in the case of least-squares adjustment in the explicit case (L=F(X)) is fully documented.
Generalyzed variance-covariance propagation law formulae and application to explicit least-squares adjustments
Abstract Standard formulae overlook the contribution of a number of terms in the derivation of variance-covariance matrices for parameters in nonlinear least squares adjustment. In a large class of nonlinear mathematical models, these terms can contribute to an important error in the estimation of parameter variances. Improved formulae are derived. A numerical example is given and the use of our improved formula in the case of least-squares adjustment in the explicit case (L=F(X)) is fully documented.
Generalyzed variance-covariance propagation law formulae and application to explicit least-squares adjustments
Jeudy, Luc M. A. (Autor:in)
Bulletin géodésique ; 62
1988
Aufsatz (Zeitschrift)
Englisch
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
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