Details

Title

Sensitivity of robust estimators applied in strategy for testing stability of reference points. EIF approach

Journal title

Geodesy and Cartography

Yearbook

2011

Volume

vol. 60

Numer

No 2

Publication authors

Keywords

displacement ; stability ; R-estimation ; empirical influence function

Divisions of PAS

Nauki Techniczne

Abstract

In deformation analyses, it is important to find a stable reference frame and therefore the stability of the possible reference points must be controlled. There are several methods to test such stability. The paper’s objective is to examine one of such methods, namely the method based on application of R-estimation, for its sensitivity to gross errors. The method in question applies three robust estimators, however, it is not robust itself. The robustness of the method depends on the number of unstable points (the fewer unstable points there are, the more robust is the proposed method). Such property makes it important to know how the estimates applied and the strategy itself respond to a gross error. The empirical influence functions (EIF) can provide necessary information and help to understand the response of the strategy for a gross error. The paper presents examples of EIFs of the estimates, their application in the strategy and describes how important and useful is such knowledge in practice.

Publisher

Commitee on Geodesy PAS

Date

2011

Type

Artykuły / Articles

Identifier

ISSN 2080-7636

References

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DOI

10.2478/v10277-012-0011-z

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