Upper bounds on asymptotic variances of M-estimators of location

DOI10.1214/aos/1176343889zbMath0381.62033OpenAlexW2064213499MaRDI QIDQ1248299

John R. Collins

Publication date: 1977

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176343889

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Robustness and adaptive procedures (parametric inference) (62F35)

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Maximum asymptotic variances of mndash;estimators of location with auxiliary scale estimator under symmetric contamination, A new infinitesimal approach to robust estimation, Min-max asymptotic variance of M-estimates of location when scale is unknown, Most robust M-estimators in the infinitesimal sense