On the Tukey depth of an atomic measure

DOI10.1016/j.stamet.2006.11.001zbMath1248.60024OpenAlexW2030900695MaRDI QIDQ713770

Ons Regaieg, Abdelhamid Hassairi

Publication date: 19 October 2012

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2006.11.001

zbMATH Keywords

convexsupportTukey depthtukey trimmed region

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10)

Related Items (8)

RR-plot: a descriptive tool for regression observations ⋮ On the Tukey depth of a continuous probability distribution ⋮ The Tukey and the random Tukey depths characterize discrete distributions ⋮ Halfspace depth and floating body ⋮ Reconstruction of atomic measures from their halfspace depth ⋮ Smooth depth contours characterize the underlying distribution ⋮ The limit of finite sample breakdown point of Tukey's halfspace median for general data ⋮ Halfspace depth does not characterize probability distributions

Cites Work

• Asymptotics for the Tukey median
• Multidimensional trimming based on projection depth
• Halfspace depth and regression depth characterize the empirical distribution
• Halfplane trimming for bivariate distributions
• Projection-based depth functions and associated medians
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• General notions of statistical depth function.
• The Tukey depth characterizes the atomic measure
• Asymptotics for the Tukey depth process, with an application to a multivariate trimmed mean
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