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Robust kernels for robust location estimation

Neurocomputing, 2021
Abstract This paper shows that least-square estimation (mean calculation) in a reproducing kernel Hilbert space (RKHS) F corresponds to different M-estimators in the original space depending on the kernel function associated with F . In particular, we present a proof of the correspondence of mean estimation in an RKHS for the Gaussian ...
Joseph Alejandro Gallego   +2 more
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Robust frequency estimation

International Conference on Acoustics, Speech, and Signal Processing, 2003
A robust estimation method for frequencies of received signals is investigated. The received signals are represented as the sum of sinusoidal signals and an additive noise process. The additive noise is assumed to be a mixture of a Gaussian and an outlier process.
Sang-Geun Oh, R. L. Kashyap
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Estimating robustness

Journal of Economic Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the robustness of batching estimators

Operations Research Letters, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yingchieh Yeh, Bruce W. Schmeiser
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Robustness and the robust estimate

Journal of Geodesy, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Robust m-estimators

Econometric Reviews, 1990
This paper provides a summary of the influence function approach to robust estimation of parametric models. Hampel's optimality results for M-estimators with a bounded influence function is generalized to allow for arbitrary choices of the asymptotic efficiency criterion and the norm of the influence function.
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Robust Estimation Through Estimating Equations

Biometrika, 1984
The paper deals with the choice of parameter definition. It develops the concepts of parameter defining function and effective parameter. It also provides theory and techniques for choosing from a given set of robust parameters the one that can most efficiently be estimated. This theory is applied to location parameters.
Godambe, V. P., Thompson, M. E.
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Robustness in parameter estimation

IEEE Transactions on Information Theory, 1977
A constructive approach to robust parameter estimation that carries over naturally to the nonparametric estimation is presented. Vagueness in previous notions of "robustness" has prevented such a connection from being made. To eliminate vagueness, robustness is defined in a precise mathematical way that leads to isolation of constructive analytical ...
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Robust pose estimation

IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 1999
Standard least-squares (LS) methods for pose estimation of objects are sensitive to outliers which can occur due to mismatches. Even a single mismatch can severely distort the estimated pose. This paper describes a least-median of squares (LMedS) approach to estimating pose using point matches.
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