On robust classification using projection depth
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Publication:421427
DOI10.1007/s10463-011-0324-yzbMath1237.62080OpenAlexW2034803504MaRDI QIDQ421427
Subhajit Dutta, Anil Kumar Ghosh
Publication date: 23 May 2012
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10463-011-0324-y
bandwidthcross-validationkernel density estimationBayes riskmisclassification ratedata depthelliptic symmetrymulti-scale smoothing
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Related Items (20)
On maximum depth classifiers: depth distribution approach ⋮ Approximate computation of projection depths ⋮ Depth-weighted Bayes classification ⋮ Simulated annealing for higher dimensional projection depth ⋮ Computing the halfspace depth with multiple try algorithm and simulated annealing algorithm ⋮ Fast \(DD\)-classification of functional data ⋮ Multivariate and functional classification using depth and distance ⋮ Distance-based directional depth classifiers: a robustness study ⋮ On some classifiers based on multivariate ranks ⋮ Asymptotics of generalized depth-based spread processes and applications ⋮ DD-Classifier: Nonparametric Classification Procedure Based onDD-Plot ⋮ Fast nonparametric classification based on data depth ⋮ On data depth in infinite dimensional spaces ⋮ Multivariate Functional Halfspace Depth ⋮ RR-classifier: a nonparametric classification procedure in multidimensional space based on relative ranks ⋮ Adaptive exponential power depth with application to classification ⋮ From Depth to Local Depth: A Focus on Centrality ⋮ On rank distribution classifiers for high-dimensional data ⋮ Nonparametrically consistent depth-based classifiers ⋮ Simplified simplicial depth for regression and autoregressive growth processes
Uses Software
Cites Work
- Unnamed Item
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- Bagging predictors
- Central limit theorem and influence function for the MCD estimators at general multivariate distributions
- Developing an immigration policy for Germany on the basis of a nonparametric labor market classification
- Fast and robust discriminant analysis
- A distribution-free M-estimator of multivariate scatter
- Convergence of depth contours for multivariate datasets
- Projection-based depth functions and associated medians
- Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
- On data depth and distribution-free discriminant analysis using separating surfaces
- Boosting the margin: a new explanation for the effectiveness of voting methods
- General notions of statistical depth function.
- Structural properties and convergence results for contours of sample statistical depth functions.
- Clustering and classification based on the L\(_{1}\) data depth
- Asymptotic Properties of the Maximum Quasi-Likelihood Estimator in Quasi-Likelihood Nonlinear Models
- Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
- Sign Tests in Multidimension: Inference Based on the Geometry of the Data Cloud
- Likelihood inference in nearest-neighbour classification models
- The multivariate L 1 -median and associated data depth
- Robust linear discriminant analysis using S-estimators
- A Probabilistic Nearest Neighbour Method for Statistical Pattern Recognition
- A Quality Index Based on Data Depth and Multivariate Rank Tests
- The Behavior of the Stahel-Donoho Robust Multivariate Estimator
- DD-Classifier: Nonparametric Classification Procedure Based onDD-Plot
- On Maximum Depth and Related Classifiers
- Nearest neighbor pattern classification
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