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Original Articles

Numerical methods for the nonlinear robust regression problem

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Pages 79-113 | Received 19 May 1980, Published online: 20 Mar 2007

References

  • Andrews , D.F. 1974 . A robust method for multiple linear regression . Technometrics , 16 : 523 – 531 .
  • Beale E.M.L. On an iteratice method of finding a local minimum of a function of more than one variable Statistical Techniques Research Group. Princeton University 1958 Techn Rep. No. 25
  • Brownlee , K.A. 1965 . Stansueal theory and Methodologv in Scence and Pngmeering 2nd , New York : Wiley .
  • Cragg , E.E. and Pevy , A.V. 1969 . Studay on a supermemory gradient method for the minimtation of functions . J. Oprim. Theate. Applns , 4 : 191 – 205 .
  • Damel , C. and Wood , F.S. 1971 . Futing Equauons to Data , New York : Wiley .
  • Dutter R. Robust regression Different approaches to numerical solutions and algorithms Fachgruppe f. Statist.. Federal Institute of Technology Zurich 1975 Res. Rep. No. 6
  • Dutter R. Robust regression Different approaches to numerical solutions and algorithms Fachgruppe f. Statist.. Federal Institute of Technology Zurich 1976 Res. Rep. No. 10
  • Dutter , R. 1977 . Numerical solution of robust regression problems: Computarional aspects. a comparison . J. of Statist, Comp. and Simul , 5 : 207 – 238 .
  • Dutter , R. 1978 . “ Computer non-linear robust curvc fitting program NLWDR ” . In Inst. f. Math. Statist , Technical University Graz . Techn. Rep
  • Dutter , R. and Huber , P.J. 1978 . “ On methods for the numerical solution of robust regresslon problems ” . In Int. f. Math. Statist , Technical University Graz .
  • Ekblom , H. 1974 . L P-methods for robust regression . Bit , 14 : 22 – 32 .
  • Fletcher , R. and Powell , M.J.D. 1963 . A rapidly convergent descent method for minimization . The Computer Journal , 6 : 163
  • Himmelblau , D.M. 1972 . Applied Nonlinear Programming , New York : McGraw-Hill Book Company .
  • Huber , P.J. 1973 . Robust regression: Asymptotics, conjectures and Monte Carlo . Ann. Statist , 1 : 799 – 821 .
  • Huber , P.J. and Dutter , R. 1974 . “ Numerical solution of robust regression problems ” . In Applied Nonlinear Programming , Edited by: Bruckmann , G. Vienna : Physica Verlag . COMPSTAT 1974
  • Jones , A. 1970 . Spiral-A new algorithm for non-linear parameter estimation using least squares . The Computer Journal , 13 : 301
  • Marquardt , D.W. 1970 . An algorithm for least-squares estimation of non-linear parameters . Journal of the Soc. for Indust. and Appl. Math , 2 : 431
  • Nagel , G. and Wolff , W. 1974 . Ein Verfahren zur Minimierung einer Quadratsumme nichtlinearer Funktionen . Biometriche Zeitschr , 16 ( 6 ) : 431 – 439 .
  • Rey , W. 1975 . On the least p-th power method In multiple regressions and locations estimation . Bit , 15 ( 2 ) : 174 – 184 .
  • Rosenbrock , H.H. 1960 . An automatic method for finding the greated or least value of a function . The Computer Journal , 3 : 175
  • Whitte , B.F. and Holst , W.R. . Paper submitted 1964 . Joint Computer Conf . Spring 1964 , Washington, D.C.
  • Zangwill , W.I. 1967 . Minimizing a function without calculating derivatives . The Computer Journal , 10 : 293

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