Robust median estimator in logistic regression

DOI10.1016/j.jspi.2008.02.010zbMath1146.62015OpenAlexW2001264055MaRDI QIDQ951041

Leandro Pardo, Igor Vajda, Tomáš Hobza

Publication date: 29 October 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.02.010

zbMATH Keywords

tablesrobustnessconsistencyasymptotic normalityMLEBianco and Yohai estimatorCroux and Haselbroeck estimatormedian estimatorMorgenthaler estimator

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Generalized linear models (logistic models) (62J12) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (9)

Quantile regression for panel data models with fixed effects under random censoring ⋮ Robust estimation for ordinal regression ⋮ A Wald-type test statistic based on robust modified median estimator in logistic regression models ⋮ Robust median estimator in logistic regression ⋮ Robust Wald-type methods for testing equality between two populations regression parameters: a comparative study under the logistic model ⋮ Unnamed Item ⋮ Minimum Rényi pseudodistance estimators for logistic regression models ⋮ On the consistence of the modified median estimator for the logistic regression model ⋮ Robust link functions

Uses Software

• minpack
• robustbase

Cites Work

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• High breakdown-point and high efficiency robust estimates for regression
• A general asymptotic theory of \(M\)-estimators. II
• Robust median estimator in logistic regression
• Robustness against separation and outliers in logistic regression
• Implementing the Bianco and Yohai estimator for logistic regression
• Robust inference for generalized linear models with application to logistic regression
• Robust adaptive estimators for binary regression models
• M-estimators of structural parameters in pseudolinear models.
• Limiting distributions for \(L_1\) regression estimators under general conditions
• Testing in logistic regression models based on \(\phi\)-divergences measures
• Least-absolute-deviations fits for generalized linear models
• Regression Quantiles
• Robust Statistics
• Preface
• Asymptotic distribution of regression M-estimators
• Robust estimation in the logistic regression model

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