Minimum covariance determinant and extensions
The minimum covariance determinant (MCD) method is a highly robust estimator of
multivariate location and scatter, for which a fast algorithm is available. Since estimating the …
multivariate location and scatter, for which a fast algorithm is available. Since estimating the …
Minimum covariance determinant
The minimum covariance determinant (MCD) estimator is a highly robust estimator of
multivariate location and scatter. It can be computed efficiently with the FAST‐MCD …
multivariate location and scatter. It can be computed efficiently with the FAST‐MCD …
Robust estimation of Cronbach's alpha
Cronbach's alpha is a popular method to measure reliability, eg in quantifying the reliability
of a score to summarize the information of several items in questionnaires. The alpha …
of a score to summarize the information of several items in questionnaires. The alpha …
Principal component analysis based on robust estimators of the covariance or correlation matrix: influence functions and efficiencies
A robust principal component analysis can be easily performed by computing the
eigenvalues and eigenvectors of a robust estimator of the covariance or correlation matrix. In …
eigenvalues and eigenvectors of a robust estimator of the covariance or correlation matrix. In …
High-breakdown robust multivariate methods
When applying a statistical method in practice it often occurs that some observations deviate
from the usual assumptions. However, many classical methods are sensitive to outliers. The …
from the usual assumptions. However, many classical methods are sensitive to outliers. The …
Influence function and efficiency of the minimum covariance determinant scatter matrix estimator
The minimum covariance determinant (MCD) scatter estimator is a highly robust estimator
for the dispersion matrix of a multivariate, elliptically symmetric distribution. It is relatively fast …
for the dispersion matrix of a multivariate, elliptically symmetric distribution. It is relatively fast …
Minimum volume ellipsoid
The minimum volume ellipsoid (MVE) estimator is based on the smallest volume ellipsoid
that covers h of the n observations. It is an affine equivariant, high‐breakdown robust …
that covers h of the n observations. It is an affine equivariant, high‐breakdown robust …
Finding an unknown number of multivariate outliers
We use the forward search to provide robust Mahalanobis distances to detect the presence
of outliers in a sample of multivariate normal data. Theoretical results on order statistics and …
of outliers in a sample of multivariate normal data. Theoretical results on order statistics and …
Invariant co-ordinate selection
DE Tyler, F Critchley, L Dümbgen… - Journal of the Royal …, 2009 - academic.oup.com
A general method for exploring multivariate data by comparing different estimates of
multivariate scatter is presented. The method is based on the eigenvalue–eigenvector …
multivariate scatter is presented. The method is based on the eigenvalue–eigenvector …
Robust multivariate regression
We introduce a robust method for multivariate regression based on robust estimation of the
joint location and scatter matrix of the explanatory and response variables. As a robust …
joint location and scatter matrix of the explanatory and response variables. As a robust …