On the Tukey depth of a continuous probability distribution

DOI10.1016/j.spl.2008.02.008zbMath1274.62111OpenAlexW1988822378MaRDI QIDQ951167

Ons Regaieg, Abdelhamid Hassairi

Publication date: 30 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.spl.2008.02.008

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characterization and structure theory of statistical distributions (62E10)

Related Items (8)

Some multivariate goodness of fit tests based on data depth ⋮ On smoothness of Tukey depth contours ⋮ Some intriguing properties of Tukey's half-space depth ⋮ Halfspace depth and floating body ⋮ Reconstruction of atomic measures from their halfspace depth ⋮ Halfspace depth does not characterize probability distributions ⋮ Second-order accuracy of depth-based bootstrap confidence regions ⋮ Barycentric cuts through a convex body

Cites Work

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• On the Tukey depth of an atomic measure
• Breakdown properties of location estimates based on halfspace depth and projected outlyingness
• Halfspace depth and regression depth characterize the empirical distribution
• Halfplane trimming for bivariate distributions
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• Asymptotic distributions of the maximal depth estimators for regression and multivariate location
• The Tukey depth characterizes the atomic measure
• The influence function and maximum bias of Tukey's median
• Asymptotics for the Tukey depth process, with an application to a multivariate trimmed mean

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