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Bounded influence regression using high breakdown scatter matrices

, , and . Annals of the Institute of Statistical Mathematics, 55 (2): 265--285 (June 2003)

Abstract

Abstract  In this paper we estimate the parameters of a regression model using S-estimators of multivariate location and scatter. The approach is proven to be Fisher-consistent, and the influence functions are derived. The corresponding asymptotic variancesare obtained and it is shown how they can be estimated in practice. A comparison with other recently proposed robust regressionestimators is made.

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