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Robustness and efficiency properties of scatter matrices

BiometrikaPublished 1 January 1983
David E. Tyler
Citations172
SJR quartileQ1
SJR score3.60
SNIP2.67

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