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Original Articles

Using the least squares estimator in Chebyshev estimation

Using the least squares estimator in Chebyshev estimation

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Pages 43-49 | Published online: 27 Jun 2007

References

  • Barrodale , I. and Phillips , C. 1974 . An improved algorithm for discrete Chebyshev linear approximation . Proceedings of the Fourth Manitoba Conference on Numerical Mathematics , : 177 – 190 .
  • Barrodale , I. and Phillips , C. 1975 . Algorithm 495: Solution of an overdetermined system of linear equations in the Chebyshev norm . ACM Transactions on Mathematical Software , 1 ( 3 ) : 264 – 270 .
  • Barrodale , I. and Roberts , R.D.K. 1973 . An improved algorithm for discrete Li linear approximation . SIAM J. Numerical Anal , 10 ( 3 ) : 839 – 848 .
  • Barrodale , I. and Young , A. 1966 . Algorithms for best L1 and L linear approximations on a discrete set . Numer. Math , 8 ( 3 ) : 255 – 306 .
  • Mccormick , G.F. and Sposito , V.A. 1976 . Using the L2 estimator in L1 estimation . SIAM J. Numerical Anal , 13 ( 3 ) : 334 – 343 .
  • Sielken , R.L. and Hartley , H.O. 1973 . Two Linear Programming Algorithms for Unbiased Estimation of Linear Models . J. Amer. Statist. Assoc , 68 ( 3 ) : 639 – 641 .
  • Sposito , V.A. , Hand , M.L. and Mccormick , G.F. 1977 . Using an approximate L1estimator . Comm. Statist. - Simula. Comput , 6 ( 3 ) : 263 – 268 .
  • Wagner , H.M. 1959 . Linear programming techniques in regression analysis . J. Amer. Statist. Assoc , 54 ( 3 ) : 206 – 212 .

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