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Using multilayer neural networks to estimate the parameters of the nonlinear Baret model

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Języki publikacji
EN
Abstrakty
EN
The complexity of the nonlinear models with random parameters doesn't generally allow to resolve in an easy way the parameters estimation problem. In this paper we design and use a multilayer neural network (MLNN) for the parameters estimation. We deal with the Baret model for the temporal evolution of the leaf area index (LAI).
Twórcy
  • Romanian Academy, Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie No. 13, Bucharest 50711, Romania, cenachescu@k.ro
Bibliografia
  • 1. NLME-effects in S and S-PLUS 2001, http://nlme.stat.wisc.edu/
  • 2. Canadian center of the remote detection; Notions fondamentales de teledetection 2001, http://www. ccrs.nrcan.gc.ca/ccre/edmef7tutorial/tutorf.html
  • 3. Baret R: Contribution au suivi radiometrique de culture de cereales, These d'universite, Universite de Paris-Sud Orsay 1986.
  • 4. Enachescu C.: Aplicaţii ale reţelelor neuronale în teoria statistică a învăţării, Ed. Sigma, Bucuresti 1999.
  • 5. Beal S.L., Sheiner L.B.: NONMEM User's Guides, NONMEM Project Group, University of California, San Fransisco 1992.
  • 6. Pinheiro J.C., Bates D.M.: Mixed-Effects Models in S and S-PLUS, Statistics and Computing, Springer 2000.
  • 7. Lindstrom M. J., Bates D.M.: Nonlinear mixed effects models for repeated measures data, Biometrics 1990, 46, 673-687.
  • 8. Pinheiro J.C., Bates D.M.: Approximations to the log-likelihood function in the nonlinear mixed-effects models, Journal of Computational and Graphical Statistics 1995,4, 12-35.
  • 9. Steimer J.L., Mallet A., Golmard J.L., Boisvieux J.F.: Alternative approaches to estimation of population pharmacokinetic parameters: Comparison with the nonlinear mixed effect model, Drug Metabolism Review 1984,15, 265-292.
  • 10. Demidenco E.: Asymptotic properties of nonlinear mixed-effects models, Lecture notes in statistics 1997, 122, 49-62.
  • 11. Vonesh E.F.: A note on the use of Laplace's approximation for nonlinear moxed-effects models, Biometrika 1996, 83, 447-452.
  • 12. Huet S., Jolivet E., Messean A.: La régression non-linéaire, méthodes et applications en biologie, INRA Ed. 1992.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0043-0040
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