Data depth based on spatial rank.

DOI10.1016/J.SPL.2003.06.003zbMath1048.62057OpenAlexW2047691918MaRDI QIDQ1423080

Yonghong Gao

Publication date: 14 February 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2003.06.003

zbMATH Keywords

SymmetryEfficiencyAsymptotic distributionL-estimatorDepthSpatial rank

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (7)

Monotonicity properties of spatial depth ⋮ Generalized Mahalanobis depth in the reproducing kernel Hilbert space ⋮ Tensor-based projection depth ⋮ Multivariate Change Point Control Chart Based on Data Depth for Phase I Analysis ⋮ Influence functions of some depth functions, and application to depth-weighted L-statistics ⋮ Rayleigh projection depth ⋮ On the Behavior of Extreme d-dimensional Spatial Quantiles Under Minimal Assumptions

Cites Work

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• On a notion of data depth based on random simplices
• On the efficiency of multivariate spatial sign and rank tests
• On the Stahel-Donoho estimator and depth-weighted means of multivariate data.
• On a Geometric Notion of Quantiles for Multivariate Data
• Approximation Theorems of Mathematical Statistics
• The multivariate L ₁ -median and associated data depth
• A Quality Index Based on Data Depth and Multivariate Rank Tests

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