Some extensions of Tukey's depth function

DOI10.1006/jmva.2001.2011zbMath1010.62058OpenAlexW2118414077MaRDI QIDQ697473

Jian Zhang

Publication date: 17 September 2002

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/eb016a71752212f9c35e554f717e13ee01f6f90c

zbMATH Keywords

dispersiondepthlocationbreakdown pointmultivariate orderingoutlyingness

Mathematics Subject Classification ID

Multivariate analysis (62H99) Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20) Statistical distribution theory (62E99)

Related Items (13)

Dilemmas of robust analysis of economic data streams ⋮ Affine invariant integrated rank-weighted statistical depth: properties and finite sample analysis ⋮ Projection-based depth functions and associated medians ⋮ Halfspace depths for scatter, concentration and shape matrices ⋮ Empirical depth processes ⋮ A new way for ranking functional data with applications in diagnostic test ⋮ Some extensions of Tukey's depth function ⋮ Influence functions of some depth functions, and application to depth-weighted L-statistics ⋮ Robust covariance and scatter matrix estimation under Huber's contamination model ⋮ Nonparametric depth-based multivariate outlier identifiers, and masking robustness properties ⋮ Projection based scatter depth functions and associated scatter estimators ⋮ Unnamed Item ⋮ A new type of multivariate records: depth-based records

Cites Work

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• Convergence of stochastic processes
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