On the estimation of the influence curve

DOI10.2307/3315546zbMath0819.62039OpenAlexW2020232114MaRDI QIDQ4837799

Juan J. Romo, Antonio Cuevas

Publication date: 22 August 1995

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/2844

zbMATH Keywords

sensitivity curveinfluence curveestimation of asymptotic varianceasymptotic validity of bootstrap confidence bandsgeneralized delta methodHadamard differentiable operators

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Nonparametric estimation (62G05) Robustness and adaptive procedures (parametric inference) (62F35) Nonparametric tolerance and confidence regions (62G15) Nonparametric statistical resampling methods (62G09)

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Cites Work

• Unnamed Item
• Min-max bias robust regression
• The bootstrap: Some large sample theory and connections with robustness
• A note on differentials and the CLT and LIL for statistical functions, with application to M-estimates
• The Influence Curve and Its Role in Robust Estimation
• A Central Limit Theorem for M‐estimators by the von Mises Method
• On the Asymptotic Distribution of Differentiable Statistical Functions
• Convergence of stochastic processes
• The bootstrap and Edgeworth expansion

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