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Weighted Total Least Squares with Singular Covariance Matrices Subject to Weighted and Hard Constraints
Publisher: American Society of Civil Engineers
Abstract: Weighted total least squares (WTLS) has been widely used as a standard method to optimally adjust an errors-in-variables (EIV) model containing random errors both in the observation vector and in the coefficient matrix. ...
Recursive Algorithm for L1 Norm Estimation in Linear Models
Publisher: American Society of Civil Engineers
Abstract: L1 norm estimator has been widely used as a robust parameter estimation method for outlier detection. Different algorithms have been applied for L1 norm minimization among which the linear programming problem based on the ...
On the Covariance Matrix of Weighted Total Least-Squares Estimates
Publisher: American Society of Civil Engineers
Abstract: Three strategies are employed to estimate the covariance matrix of the unknown parameters in an error-in-variable model. The first strategy simply computes the inverse of the normal matrix of the observation equations, in ...
Stability Analysis of Deformation-Monitoring Network Points Using Simultaneous Observation Adjustment of Two Epochs
Publisher: American Society of Civil Engineers
Application of Least-Squares Variance Component Estimation to GPS Observables
Publisher: American Society of Civil Engineers
Abstract: This contribution can be seen as an attempt to apply a rigorous method for variance components in a straightforward manner directly to GPS observables. Least-squares variance component estimation is adopted to assess the ...
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