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
APA
Chicago
ICMJE
MLA
NLM
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.
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