On min-max majority and deepest points

DOI10.1016/S0167-7152(98)00173-4zbMath0947.62024OpenAlexW2065861252WikidataQ126547763 ScholiaQ126547763MaRDI QIDQ1962227

Deborah Nolan

Publication date: 30 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(98)00173-4

zbMATH Keywords

Gaussian processempirical processhalf-space depthmin-max majorityrobust multivariate location estimation

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items

On depth and deep points: A calculus. ⋮ The influence function and maximum bias of Tukey's median ⋮ The quarter median ⋮ Convergence of quantile and depth regions ⋮ Limit Theorems for Quantile and Depth Regions for Stochastic Processes ⋮ Robust dimension reduction using sliced inverse median regression ⋮ Large sample properties of the regression depth induced median ⋮ Projection-based depth functions and associated medians ⋮ Multivariate trimmed means based on the Tukey depth ⋮ Asymptotics for the Tukey median ⋮ Influence function of halfspace depth ⋮ On a robust and efficient maximum depth estimator ⋮ Asymptotic distributions of the maximal depth estimators for regression and multivariate location ⋮ Rate of convergence of depth contours: with application to a multivariate metrically trimmed mean.

Uses Software

• AS 307

Cites Work

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