Multidimensional medians and uniqueness

DOI10.1016/j.csda.2013.03.020zbMath1471.62234OpenAlexW2047696512MaRDI QIDQ1800117

YiJun Zuo

Publication date: 19 October 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2013.03.020

zbMATH Keywords

robustnessuniquenessprojection mediandepth mediansmultidimensional median

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (6)

Deepest voting: a new way of electing ⋮ Employing the MCMC technique to compute the projection depth in high dimensions ⋮ Choosing among notions of multivariate depth statistics ⋮ A spatial-type interval-valued median for random intervals ⋮ Unnamed Item ⋮ On the consistency of a spatial-type interval-valued median for random intervals

Cites Work

• Unnamed Item
• Breakdown points of affine equivariant estimators of multivariate location and covariance matrices
• Exact computation of bivariate projection depth and the Stahel-Donoho estimator
• On a notion of data depth based on random simplices
• Descriptive statistics for multivariate distributions
• Uniqueness of the spatial median
• Projection-based depth functions and associated medians
• General notions of statistical depth function.
• Exactly computing bivariate projection depth contours and median
• Multivariate quantiles and multiple-output regression quantiles: from \(L_{1}\) optimization to halfspace depth
• Robustness of weighted \(L^p\)-depth and \(L^p\)-median
• Data depth-based nonparametric scale tests
• On a notion of simplicial depth
• Robust Estimation of a Location Parameter

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