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Original Articles

Least squares methods in maximum likelihood problems

Pages 943-959 | Received 21 Jan 2005, Published online: 31 Jan 2007

References

  • Levenberg , K. 1944 . A method for the solution of certain nonlinear problems in least squares . Quarterly of Applied Mathematics , 2 : 164 – 168 .
  • Moré , J. J . 1978 . The Levenberg–Marquardt Algorithm: Implementation and Theory. Lecture notes in Mathematics , Edited by: Watson , G. A. Vol. 630 , 105 – 116 . Heidelberg : Springer Verlag .
  • Osborne , M. R. 1997 . Nonlinear least squares–the Levenberg algorithm revisited . Journal of the Australian Mathematical Society, Series B , 19 : 343 – 357 .
  • Kendall , M. G. and Stuart , A. 1967 . The Advanced Theory of Statistics , Vol. 2 , London : Inference and Relationship, Charles Griffin and Company Limited .
  • Fletcher , R. 1980 . Practical Methods of Optimization: Unconstrained Optimization , Vol. 1 , Chichester : Wiley .
  • Osborne , M. R. 1992 . Fisher’s method of scoring . International Statistics Review , 86 : 271 – 286 .
  • Higham , N. J. 1996 . Accuracy and Stability of Numerical Algorithms , Philadelphia : SIAM .

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