Some asymptotic distributions in the location-scale model

DOI10.1007/BF02481024zbMath0489.62023OpenAlexW1986380990MaRDI QIDQ1166858

Louis-Paul Rivest

Publication date: 1982

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481024

zbMATH Keywords

asymptotic normalityefficient estimationlocationrobust estimationinfluence curvescaleL-M-estimatorstep estimators

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Robustness and adaptive procedures (parametric inference) (62F35) Order statistics; empirical distribution functions (62G30)

Related Items (3)

Asymptotic representation of L-estimators and their relations to M-estimators ⋮ Asymptotic relations between L- and M-estimators in the linear model ⋮ Limit theorems for the median deviation

Cites Work

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• Descriptive statistics for non-parametric models. III: Dispersion
• On almost sure expansions for M-estimates
• Linear functions of order statistics with smooth weight functions
• The Influence Curve and Its Role in Robust Estimation
• Robust Estimation of a Location Parameter
• Robust Estimates of Location: Symmetry and Asymmetric Contamination
• Robust Estimates of Location: Survey and Advances
• The 1972 Wald Lecture Robust Statistics: A Review
• Mises’ Theorem on the Asymptotic Behavior of Functionals of Empirical Distribution Functions and Its Statistical Applications

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