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Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 17, 1986 - Issue 4
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Original Articles

Maximum likelihood and least squares estimators for a non-linear model with heterogeneous variances

Sylvie Huet INRA Laboratoire de Biometrie, C.R.Z, Jouy-En-Josas, 78350, France
Pages 517-526 | Received 01 Jun 1984, Published online: 04 Mar 2011

References

  • Bunke , H. 1980 . Parameter estimation in nonlinear regression models . Handbook of Statistics , 1 : 593 – 615 .
  • Bunke , H. and Schmidt , W.H. 1980 . Asymptotic results on nonlinear approximation of regression functions and weighted least squares . Math.Operationsforsch.u.Statist.ser.statist. , 11 : 3 – 22 .
  • Castelle , DACUNHA D and Duflo , M. 1983 . Probabilites et Statistiques , Masson, Paris : Problemes & temps mobile. Tome 2 .
  • Harvilie , D.A. 1969 . Maximum likelihood approaches to variance component estiamtion and to related problems . J.Amer.Statist.Assoc. , 72 : 320 – 340 .
  • Henschke , K. 1980 . Simultaneous Confidence Procedures in Multivariate Calibration Problems . Math.Operationforsch.u.Sttist.ser.statist. , 11 : 193 – 206 .
  • Hoadley , B. 1971 . Asymptotic properties of maximum likelihood estimators for the independent not identically distributed case . Ann.Math.Statist. , 42 : 1977 – 1991 .
  • Mccullagh , P. 1983 . Quasi-likelihood functions . Ann.Math.Statist. , 11 : 59 – 67 .
  • Weiss , L. 1971 . Asymptotic properties of maximum likelihood estimators in some non-standard case . J.Amer.Statist.Assoc. , 66 : 345 – 350 .

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