A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Abstract. In this paper, a number of robust biased estimators (e.g. ordinary robust ridge estimator, robust principal components estimator, robust combined principal components estimator, robust single-parametric principal components estimator, robust root-root estimator) are established by means of a unified expression of biased estimators and based on the principle of equivalent weight. The most attractive advantage of these new estimators is that they can not only overcome the ill-conditioning of the normal equation but also have the ability to resist outliers. A numerical example is used to illustrate that these new estimators are much better than the least-squares estimator and various biased estimators even when both ill-conditioning and outliers exist.
Abstract. In this paper, a number of robust biased estimators (e.g. ordinary robust ridge estimator, robust principal components estimator, robust combined principal components estimator, robust single-parametric principal components estimator, robust root-root estimator) are established by means of a unified expression of biased estimators and based on the principle of equivalent weight. The most attractive advantage of these new estimators is that they can not only overcome the ill-conditioning of the normal equation but also have the ability to resist outliers. A numerical example is used to illustrate that these new estimators are much better than the least-squares estimator and various biased estimators even when both ill-conditioning and outliers exist.
Robust biased estimation and its applications in geodetic adjustments
Journal of Geodesy ; 72
1998
Article (Journal)
English
BKL:
38.73
Geodäsie
Robust estimation of geodetic datum transformation
| Online Contents | 1999
Robust Geodetic Parameter Estimation throuyh Iterative Weighting
| Online Contents | 1994
The parallel sum of matrices and its application in geodetic adjustments
| Online Contents | 1997
The Use of Geographic and Map Grid Coordinate Systems for Geodetic Network Adjustments
| Online Contents | 1994