On Two Types of Breakdown Points of WeightedL2-median

DOI10.1080/03610920903551807zbMath1220.62029OpenAlexW1973705597MaRDI QIDQ3006247

Zheng Yan Lin, Caiya Zhang, Yan Luo

Publication date: 10 June 2011

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920903551807

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric robustness (62G35) Robustness and adaptive procedures (parametric inference) (62F35)

Cites Work

• Unnamed Item
• Breakdown points of affine equivariant estimators of multivariate location and covariance matrices
• Asymptotic properties of location estimators based on projection depth
• Breakdown properties of location \(M\)-estimators
• General notions of statistical depth function.
• Robustness of weighted \(L^p\)-depth and \(L^p\)-median
• Some quantitative relationships between two types of finite sample breakdown point

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