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Robustness, breakdown point and influence function
1983In 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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Spark breakdown in air at a positive point
IEEE Spectrum, 1968When a voltage across an insulating gas is increased beyond a certain limit, the gas breaks down, becoming a conductor of electricity. A photographic method, the Lichtenberg figure technique, is used to study the process. Above a certain voltage an ionization wave, called a streamer, proceeds from the highly stressed electrode, branching out along the ...
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Robustness Measures: Bias and Breakdown Points
1997In 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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The Breakdown Points of the Mean Combined With Some Rejection Rules
Technometrics, 1985In the past, methods for rejection of outliers have been investigated mostly without regard to the quantitative consequences for subsequent estimation or testing procedures. Moreover, although rejection of outliers with subsequent application of least squares methods is one of the oldest and most widespread classes of robust procedures, until recently ...
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Upper and Lower Bounds for Breakdown Points
2013General 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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High Breakdown Point and High Efficiency
1997While 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
1996Estimators 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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Bounded Influence and High Breakdown Point Testing Procedures in Linear Models
Journal of the American Statistical Association, 1994Marianthi Markatou, Xuming He
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Breakdown point transfer theory for Si/SiC heterojunction LDMOS with deep drain region
Superlattices and Microstructures, 2021Yulong Wang +2 more
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