Journal
METRIKA
Volume 55, Issue 1-2, Pages 111-123Publisher
PHYSICA-VERLAG GMBH & CO
DOI: 10.1007/s001840200191
Keywords
robustness; least trimmed squares estimator; minimum covariance determinant estimator; bias
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The least trimmed squares estimator and the minimum covariance determinant estimator [6] are frequently used robust estimators of regression and of location and scatter, Consistency factors can be computed for both methods to make the estimators consistent at the normal model. However, for small data sets these factors do not make the estimator unbiased. Based on simulation studies we therefore construct formulas which allow us to compute small sample correction factors for all sample sizes and dimensions without having to carry out any new simulations. We give some examples to illustrate the effect of the correction factor.
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