Finite sample breakdown point of Tukey's halfspace median

DOI10.1007/s11425-016-0285-1zbMath1368.62131arXiv1604.07039OpenAlexW3099393438MaRDI QIDQ2361009

Xiao Hui Liu, Qi Hua Wang, YiJun Zuo

Publication date: 29 June 2017

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07039

zbMATH Keywords

robustnessbreakdown pointTukey depthTukey medianmultivariate mediansfinite sample breakdown point (FSBP)in general position

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (10)

Employing the MCMC technique to compute the projection depth in high dimensions ⋮ Robustness and asymptotics of the projection median ⋮ Some results on the computing of Tukey's halfspace median ⋮ Computing the halfspace depth with multiple try algorithm and simulated annealing algorithm ⋮ Non-asymptotic robustness analysis of regression depth median ⋮ Tukey’s Depth for Object Data ⋮ Unnamed Item ⋮ Multiple-try simulated annealing algorithm for global optimization ⋮ Integrated rank-weighted depth ⋮ The limit of finite sample breakdown point of Tukey's halfspace median for general data

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