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Optimal breakdown point maximizing designs

Metrika, 1995
Summary: In linear models the breakdown point of an estimator depends strongly on the underlying design. This holds in particular for high breakdown point estimators as the least median of squares estimators or least trimmed squares estimators. It could be shown that the breakdown point is maximized if the number of regressors which lie in a subspace ...
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A new GM-estimate with high breakdown point

Acta Geodaetica et Geophysica, 2013
The breakdown point of GM-estimators does not exceed 1/(p+1) where p is dimension of explanatory variables in linear regression. One proposes a new version of the GM-estimation with a high breakdown point (HBGM) to provide high resistance against leverage points and vertical outliers.
Hekimo˘glu, Serif, Erenoglu, R. Cuneyt
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Breakdown points for designed experiments

Journal of Statistical Planning and Inference, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Breakdown points, breakdown probabilities, midpoint sensitivity curves, and optimization of stack filters

Circuits, Systems, and Signal Processing, 1996
The paper is devoted to a recently introduced class of nonlinear digital filters, namely the stack filters which includes rank order filters, standard median filters, some morphological ones, etc. The particularity of such a class lies in the fact that it is related to the statistical properties of the input signal. The exposition is based on three new
Kuosmanen, Pauli, Astola, Jaakko
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Breakdown point of Schuster–Narvarte's location estimator

Statistics & Probability Letters, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Breakdown points of Cauchy regression-scale estimators

Statistics & Probability Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mizera, Ivan, Müller, Christine H.
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About Regression Estimators with High Breakdown Point

Statistics, 1998
A generalisation of a theorem by Vandev (1993) concerning the finite sample breakdown point is given. Using this result the breakdown point properties of the LMS and LTS estimators of Rousseeuw (1984) and the rank-based regression estimator of Hossjer (1994) are studied.
D. L. Vandev, N. M. Neykov*
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Robust discriminant analysis: Training data breakdown point

Journal of Statistical Planning and Inference, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van Ness, John W., Yang, Jim J.
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The sample breakdown points of tests

Journal of Statistical Planning and Inference, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The breakdown point of signal subspace estimation

2010 IEEE Sensor Array and Multichannel Signal Processing Workshop, 2010
The breakdown point of signal subspace methods, which is the SNR below which the algorithm's performance deteriorates dramatically, is intimately related to the breakdown point of PCA based signal subspace estimation. We shed new light on this breakdown point for a broad class of signal-plus-noise models, provide a transparent derivation that ...
Raj Rao Nadakuditi   +1 more
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