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High Breakdown Point Designs

1996
A linear model is assumed where the experimental conditions are given by the experimenter so that they are without gross errors. For this situation we regard h-trimmed Lp-estimators which generalize the least median of squares estimator and the least trimmed squares estimators.
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Finite Sample Breakdown Points of Outlier Detection Procedures

Journal of Surveying Engineering, 1997
The conventional iterative outlier detection procedures (CIODP), such as the Baarda-, Pope-, or t-testing procedure, based on the least-squares estimation (LSE) are used to detect the outliers in geodesy. Since the finite sample breakdown point (FSBP) of LSE is about 1/n, the FSBPs of the CIODP are also expected to be the same, about 1/n. In this paper,
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Breakdown points and optimal soft morphological filtering

1996 IEEE Digital Signal Processing Workshop Proceedings, 2002
A novel filter optimality criterion based on the breakdown point constraint is proposed. The criterion provides a trade-off between noise attenuation and detail preservation. The formulas for the breakdown points of the basic soft morphological filters are derived.
P. Koivisto, K. Huttunen, P. Kuosmanen
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Critical Behavior of Thermal Relaxation near a Breakdown Point

Physical Review Letters, 2003
At a composition far above the percolation threshold, the resistance of a composite sample increases with time due to Joule heating as a constant current of a sufficiently large value is passed through the sample. If the current is less than a certain breakdown current (I(b)) the resistance eventually reaches a steady value with a characteristic ...
C D, Mukherjee, K K, Bardhan
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Robustness Measures: Bias and Breakdown Points

1997
In Chapter 3 robustness properties are derived by regarding the behaviour of estimators and corresponding functionals in infinitesimal neighbourhoods of the ideal distribution Pθδ. NOW, in Section 4.1 we will derive robustness properties of estimators by regarding the behaviour of their corresponding functionals in neighbourhoods which are not ...
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Robustness, breakdown point and influence function

1983
In this section, we shall restate the viewpoint of Hampel (1968 – 1971) in different words. Eventually, at the end of § 3.3, we will be in a position to give a more convenient delimitation for the concept of robustness. In this work, we keep to Hampel’s viewpoints although they are more and more frequently open to fundamental criticisms.
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High Breakdown Point and High Efficiency

1997
While it is known that for robustness concepts based on the influence function (or on shrinking contamination neighbourhoods) high robustness and high efficiency can be combined by constrained problems (see in particular Hampel et al. (1986) and Chapter 7) there exists a recent discussion whether there is a conflict between efficiency and high ...
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High Breakdown Point Estimators in Logistic Regression

1996
Estimators with high finite sample breakdown points are of special interest in robust statistics. However, in contrast to estimation in linear regression models the breakdown point approach have not yet received much attention in logistic regression models.
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Designs with High Breakdown Point in Nonlinear Models

2010
Least trimmed squares estimators are outlier robust since they have a high breakdown point because of trimming large residuals. But the breakdown point depends also on the design. In generalized linear models and nonlinear models, the connection between breakdown point and design is given by the fullness parameter defined by Vandev and Neykov (1998 ...
Christine H. Müller, Christina Schäfer
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Upper and Lower Bounds for Breakdown Points

2013
General upper and lower bounds for the finite sample breakdown point are presented. The general upper bound is obtained by an approach of Davies and Gather using algebraic groups of transformations. It is shown that the upper bound for the finite sample breakdown point has a simpler form than for the population breakdown point.
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