A note on simplicial depth function
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Publication:2006851
DOI10.1007/s10182-008-0073-2zbMath1477.62127OpenAlexW2035632589MaRDI QIDQ2006851
Publication date: 12 October 2020
Published in: AStA. Advances in Statistical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10182-008-0073-2
robustnesshalfspace depthinfluence functionmultivariate analysiscontamination modelsimplicial median
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Robustness and adaptive procedures (parametric inference) (62F35)
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Cites Work
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- On a notion of data depth based on random simplices
- Ordering directional data: Concepts of data depth on circles and spheres
- Breakdown properties of location estimates based on halfspace depth and projected outlyingness
- Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
- Estimators related to \(U\)-processes with applications to multivariate medians: Asymptotic normality
- General notions of statistical depth function.
- Generalized quantile processes based on multivariate depth functions, with applications in nonparametric multivariate analysis.
- Bounds for the breakdown point of the simplicial median
- Approximation Theorems of Mathematical Statistics
- The Influence Curve and Its Role in Robust Estimation
- Theory of Random Sets
- Influence function of halfspace depth