Robustness and efficiency properties of scatter matrices
BiometrikaPublished 1 January 1983
David E. Tyler
Citations172
SJR quartileQ1
SJR score3.60
SNIP2.67
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
The robustness and efficiency properties of likelihood ratio tests for functions of the population covariance matrix are studied. An alternative class of tests based upon affine-invariant M-estimates of scatter is proposed whenever the function of the covariance matrix is invariant under a common scale change. For such inferences, it is shown that a single scalar-valued index of efficiency is sufficient.
Keywords
Mathematics
TechnometricsIntroduction to Multivariate Analysis
1,789 Citations1983Jack C. Lee, C. Chatfield +1 more
The Annals of StatisticsRobust $M$-Estimators of Multivariate Location and Scatter
947 Citations1976Ricardo A. Maronna
The Annals of StatisticsThe Commutation Matrix: Some Properties and Applications
547 Citations1979Jan R. Magnus, Heinz Neudecker
Journal of the American Statistical AssociationRobust Estimation of Dispersion Matrices and Principal Components
373 Citations1981Susan J. Devlin, R. Gnanadesikan +1 more
BiometrikaAsymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations
164 Citations1980Robb J. Muirhead, Christine Waternaux
