Multiple outlier detection in multivariate data using projection pursuit techniques

DOI10.1016/S0378-3758(99)00091-9zbMath0970.62041MaRDI QIDQ1969145

Yanyan Li

Publication date: 22 June 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

dimension reductionstatistical diagnosticsquasi-Monte Carlo methodsprojection pursuitGaussian stochastic processdiscordant outliersoutlier identifier

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Multivariate analysis (62H99)

Related Items (16)

Exponential probability inequality and convergence results for the median absolute deviation and its modifications ⋮ Bahadur representations for the median absolute deviation and its modifications ⋮ Computationally easy outlier detection via projection pursuit with finitely many directions ⋮ Skewness-based projection pursuit: a computational approach ⋮ Probabilistic auto-associative models and semi-linear PCA ⋮ Using tours to visually investigate properties of new projection pursuit indexes with application to problems in physics ⋮ A numerical study of multiple imputation methods using nonparametric multivariate outlier identifiers and depth-based performance criteria with clinical laboratory data ⋮ A monitoring display of multivariate outliers ⋮ Auto-associative models and generalized principal component analysis ⋮ Discordant outlier detection in the growth curve model with Rao's simple covariance structure ⋮ Robust Multivariate Outlier Labeling ⋮ Equivariance and invariance properties of multivariate quantile and related functions, and the role of standardisation ⋮ Pair-perturbation influence functions of nongaussianity by projection pursuit ⋮ Multiple Influential Point Detection in High Dimensional Regression Spaces ⋮ High-dimensional outlier detection using random projections ⋮ Identifying multivariate discordant observations: a computer-intensive approach.

Cites Work

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• The Identification of Multiple Outliers
• Robust Procedures in Multivariate Analysis I: Robust Covariance Estimation
• The bootstrap and Edgeworth expansion

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