Asymptotic properties of M-estimators in linear and nonlinear multivariate regression models

DOI10.1007/s00184-013-0458-4zbMath1334.62105OpenAlexW2110797082MaRDI QIDQ457054

Saralees Nadarajah, Christopher S. Withers

Publication date: 26 September 2014

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-013-0458-4

zbMATH Keywords

robustnessbias reductionM-estimatorsnonlinearregressionskewness

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric robustness (62G35) Linear regression; mixed models (62J05) General nonlinear regression (62J02)

Related Items (2)

Bias reduction for standard and extreme estimates ⋮ On the Strong Consistency of M-Estimates in Linear Models for Negatively Superadditive Dependent Errors

Uses Software

• robustbase

Cites Work

• Asymptotic expansion for nonparametric M-estimator in a nonlinear regression model with long-memory errors
• Genetic algorithm and M-estimator based robust sequential estimation of parameters of nonlinear sinusoidal signals
• Expansions for the distribution and quantiles of a regular functional of the empirical distribution with applications to nonparametric confidence intervals
• Statistical decision theory. Estimation, testing, and selection.
• Computation of Huber's \(M\)-estimates for a block-angular regression problem
• Robust \(M\)-estimation techniques for non-Gaussian CDMA wireless channels with phased array antenna
• Least absolute deviations estimation for the censored regression model
• Robust methods and asymptotic theory in nonlinear econometrics
• The distribution and quantiles of a function of parameter estimates
• Robust estimation in heteroscedastic linear models
• Robust statistical methods
• Robust asymptotic statistics
• Parametric statistical theory: with the assistance of R. Hamböker
• Weighted empirical processes in dynamic nonlinear models.
• Linear models. Least squares and alternatives
• Weak convergence and empirical processes. With applications to statistics
• Robust M-estimates of the frequency and amplitude of a complex-valued harmonic.
• Robust Regression Using Data Partitioning and M-Estimation
• Approximation Theorems of Mathematical Statistics
• General m-esttmators and applications to bounded influence estimation for non-linear regression
• Accurate confidence intervals when nuisance parameters are present
• A Robust Complex FastICA Algorithm Using the Huber M-Estimator Cost Function
• Micro-Econometrics
• Bias reduction by taylor series^∗
• Asymptotic behavior of general M-estimates for regression and scale with random carriers
• Mitigation of Error Propagation in Decision Directed OFDM Channel Tracking Using Generalized M Estimators
• Expansions for the distribution ofM-estimates with applications to the Multi-Tone problem
• M-estimates for stationary and scaled residuals
• Robust Statistics
• Robust Estimates of Location: Survey and Advances
• Robust Statistics
• Robust Statistics
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