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Minimax variance M-estimators in \(\epsilon\)-contamination models

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Publication:1069593
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DOI10.1214/aos/1176349657zbMath0584.62049OpenAlexW2029419002MaRDI QIDQ1069593

Douglas P. Wiens, John R. Collins

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1214/aos/1176349657


zbMATH Keywords

M-estimatorsrobust estimationepsilon contaminationminimax variance solutions


Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Robustness and adaptive procedures (parametric inference) (62F35)


Related Items (7)

Stochastic Ordering of Likelihood Ratios and Partial Sufficiency ⋮ RobustM-estimators of multivariate location and scatter in the presence of asymmetry ⋮ Minimax-varianceL- andR-estimators of location ⋮ One‐step M‐estimators in the linear model, with dependent errors ⋮ Asymptotic minimax properties of M-estimators of scale ⋮ Distributions minimizing Fisher information for scale in \(\varepsilon\)- contamination neighbourhoods ⋮ On the choice of support of re-descending \(\psi\)-functions in linear models with asymmetric error distributions




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