Partial influence functions

DOI10.1006/jmva.2001.2055zbMath1030.62024OpenAlexW1970283348MaRDI QIDQ1861398

Ana M. Pires, João A. Branco

Publication date: 16 March 2003

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/878ef311b0dcdb42e3a7dba99134d5f6c3c43317

zbMATH Keywords

influence functionasymptotic variancerobust estimatorsMahalanobis distancelinear discriminant function

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Robustness and adaptive procedures (parametric inference) (62F35) Diagnostics, and linear inference and regression (62J20)

Related Items (15)

Influence functions for linear discriminant analysis: sensitivity analysis and efficient influence diagnostics ⋮ On the asymptotic behavior of general projection-pursuit estimators under the common principal components model ⋮ Robust asymptotic tests for the equality of multivariate coefficients of variation ⋮ Influence functions of two families of robust estimators under proportional scatter matrices ⋮ Interval estimators for ratios of independent quantiles and interquantile ranges ⋮ Projection-pursuit approach to robust linear discriminant analysis ⋮ Robust discrimination under a hierarchy on the scatter matrices ⋮ A robust Wald-type test for testing the equality of two means from log-normal samples ⋮ Robust dimension reduction based on canonical correlation ⋮ Robust Wald-type methods for testing equality between two populations regression parameters: a comparative study under the logistic model ⋮ A linear approximation to the power function of a test ⋮ Robust tests for the common principal components model ⋮ Estimators for the common principal components model based on reweighting: influence functions and Monte Carlo study ⋮ General projection-pursuit estimators for the common principal components model: influence functions and Monte Carlo study ⋮ Influence of observations on the misclassification probability in quadratic discriminant analysis

Cites Work

• On the relation between S-estimators and M-estimators of multivariate location and covariance
• Influence functions for certain parameters in discriminant analysis
• Projection pursuit
• Influence curves of general statistics
• Robust direction estimation
• Robust discriminant analysis: Training data breakdown point
• Robust asymptotic statistics
• Robust estimation of multivariate location and shape
• Asymptotics of reweighted estimators of multivariate location and scatter
• Influence function and efficiency of the minimum covariance determinant scatter matrix estimator
• High breakdown estimation for multiple populations with applications to discriminant analysis
• The influence of observations on misclassification probability estimates in linear discriminant analysis
• Influence in principal components analysis
• The Influence Function as an Aid in Outlier Detection in Discriminant Analysis
• The Influence Curve and Its Role in Robust Estimation
• The influence of observations on misclassification probability in multiple discriminant analysis
• High-Breakdown Linear Discriminant Analysis
• The Standardized Influence Matrix and Its Applications
• Influence functions for certain parameters in multivariate analysis
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