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The nonlinear mixed effects model with a smooth random effects density

Publication ,  Journal Article
Davidian, M; Gallant, AR
Published in: Biometrika
September 1, 1993

SUMMARY: The fixed parameters of the nonlinear mixed effects model and the density of the random effects are estimated jointly by maximum likelihood. The density of the random effects is assumed to be smooth but is otherwise unrestricted. The method uses a series expansion that follows from the smoothness assumption to represent the density and quadrature to compute the likelihood. Standard algorithms are used for optimization. Empirical Bayes estimates of random coefficients are obtained by computing posterior modes. The method is applied to data from pharmacokinetics, and properties of the method are investigated by application to simulated data. © 1993 Biometrika Trust.

Duke Scholars

Published In

Biometrika

DOI

ISSN

0006-3444

Publication Date

September 1, 1993

Volume

80

Issue

3

Start / End Page

475 / 488

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
 

Citation

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Davidian, M., & Gallant, A. R. (1993). The nonlinear mixed effects model with a smooth random effects density. Biometrika, 80(3), 475–488. https://doi.org/10.1093/biomet/80.3.475
Davidian, M., and A. R. Gallant. “The nonlinear mixed effects model with a smooth random effects density.” Biometrika 80, no. 3 (September 1, 1993): 475–88. https://doi.org/10.1093/biomet/80.3.475.
Davidian M, Gallant AR. The nonlinear mixed effects model with a smooth random effects density. Biometrika. 1993 Sep 1;80(3):475–88.
Davidian, M., and A. R. Gallant. “The nonlinear mixed effects model with a smooth random effects density.” Biometrika, vol. 80, no. 3, Sept. 1993, pp. 475–88. Scopus, doi:10.1093/biomet/80.3.475.
Davidian M, Gallant AR. The nonlinear mixed effects model with a smooth random effects density. Biometrika. 1993 Sep 1;80(3):475–488.
Journal cover image

Published In

Biometrika

DOI

ISSN

0006-3444

Publication Date

September 1, 1993

Volume

80

Issue

3

Start / End Page

475 / 488

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics