Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear Model
To obtain efficient estimation of parameters is a major objective in population pharmacokinetic study. In this paper, we propose an empirical likelihood-based method to analyze the population pharmacokinetic data based on the generalized linear model. A nonparametric version of the Wilk's theor...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/250909 |
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| _version_ | 1832564373185363968 |
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| author | Fang-rong Yan Jin-guan Lin Yuan Huang Jun-lin Liu Tao Lu |
| author_facet | Fang-rong Yan Jin-guan Lin Yuan Huang Jun-lin Liu Tao Lu |
| author_sort | Fang-rong Yan |
| collection | DOAJ |
| description | To obtain efficient estimation of parameters is a major objective in population pharmacokinetic study. In this paper, we propose an empirical likelihood-based method to analyze the population pharmacokinetic data based on the generalized linear model. A nonparametric version of the Wilk's theorem for the limiting distributions of the empirical likelihood ratio is derived. Simulations are conducted to demonstrate the accuracy and efficiency of empirical likelihood method. An application illustrating our methods and supporting the simulation study results is presented. The results suggest that the proposed method is feasible for population pharmacokinetic data. |
| format | Article |
| id | doaj-art-f59954c2079845f2af5b4e9920070c4a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f59954c2079845f2af5b4e9920070c4a2025-02-03T01:11:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/250909250909Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear ModelFang-rong Yan0Jin-guan Lin1Yuan Huang2Jun-lin Liu3Tao Lu4Department of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, China Pharmaceutical University, Nanjing 210009, ChinaDepartment of Mathematics, China Pharmaceutical University, Nanjing 210009, ChinaDepartment of Mathematics, China Pharmaceutical University, Nanjing 210009, ChinaTo obtain efficient estimation of parameters is a major objective in population pharmacokinetic study. In this paper, we propose an empirical likelihood-based method to analyze the population pharmacokinetic data based on the generalized linear model. A nonparametric version of the Wilk's theorem for the limiting distributions of the empirical likelihood ratio is derived. Simulations are conducted to demonstrate the accuracy and efficiency of empirical likelihood method. An application illustrating our methods and supporting the simulation study results is presented. The results suggest that the proposed method is feasible for population pharmacokinetic data.http://dx.doi.org/10.1155/2012/250909 |
| spellingShingle | Fang-rong Yan Jin-guan Lin Yuan Huang Jun-lin Liu Tao Lu Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear Model Journal of Applied Mathematics |
| title | Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear Model |
| title_full | Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear Model |
| title_fullStr | Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear Model |
| title_full_unstemmed | Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear Model |
| title_short | Empirical Likelihood Estimation for Population Pharmacokinetic Study Based on Generalized Linear Model |
| title_sort | empirical likelihood estimation for population pharmacokinetic study based on generalized linear model |
| url | http://dx.doi.org/10.1155/2012/250909 |
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