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Useful generalized properties of L1 estimators
Authors:V.A. Sposito  W.J. Kennedy  J.E. Gentle
Affiliation:Iowa State University , Ames, Iowa, 50011
Abstract:Recent results by G. Appa and C. Smith, as well as I. Barrodale and F. D. K. Roberts, underscore several properties exhibited for fitting a linear model to a set of observation points under the criterion of least sum of absolute deviations(commonly denoted as the L1 criterion). This paper will generalize these properties to the non-full rank case and relax in a natural way some assumptions given by Appa and Smith.
Keywords:least sum of absolute deviations  linear model  complementary slacknes
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