Applications of this method and the Danish Method have been documented
in Last and Kubik (1981), Borre et al (1981), Borre et al (1983), and
Jorgensen and Kubik (1983).
6. FINAL COMMENTS
It will salisfy many readers, that this paper imbeds robust estimntion
methods in the classical (truncated) least squares elimination theory. We
should consider, however, that this is only one of many possible
interpretations, and work should continue on various different lines, in
particular trying to establish proper confidence limits for the estimator.
REFERENCES
/1/ Andrews et al.: Robust Estimates of Location.
Princeton University Press, (1972).
/2/ Barrodale, I. and Young, A.: Algorithms for Best L1 and Lo Linear
Approximations on a Discrete Set.
Num. Mathematik, (1966) 8 pp. 295-306.
/3/ Borre, K., Remmer, O., and , A Note on the Estimation of Non Lineard
Kubik, K.: Vertical Crustal Movements.
International Congress of FIG; Montreux,
Switzerland (1981).
/4/ Borre, K., Jorgensen, P. and Robust Adjustment of the Danish Funda-
Kubik, K.: mental Triangulation Network.
Scientific Bulletin of the Krakov Univer-
sity for Mining and Metallurgy, Krakov
(1983).
/5/ Hampel, F. R.: The Influence Curve and its Nole in
Robust Estimation.
J. of the American Sta. Ass. (1974).
/6/ Kubik, K.: The Estimation of the Weights of Measured
Quantities within the Method of Least
Squares.
Bulletin Géodesique (1979) 95; p. 21-40.
/7T/ Kubik, K.: An Error Theory for the Danish Method.
Proceedings Int. Symposium on Numerical
Methods for Photogrammetric Mapping,
Helsinki, June (1982).
/8/ Last, J. and Kubik K.: Compact Gravity Inversion.
Proceedings 43rd Annual Meeting of the
Europe Ass. Exploration Geophysics,
Venice, (1981), and Geophysics, Jan. 1983.
/9/ Wilks, S.S.: Mathematical Statiscs.
John Wiley & Sons, (1962).
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