Two general methods for population pharmacokinetic modeling: non-parametric adaptive grid and non-parametric Bayesian
暂无分享,去创建一个
Jay Bartroff | Robert Leary | Alan Schumitzky | Michael Neely | David Bayard | Tatiana Tatarinova | Michael van Guilder | Walter Yamada | Roger Jelliffe | Alyona Chubatiuk | A. Schumitzky | J. Bartroff | R. Jelliffe | W. Yamada | D. Bayard | R. Leary | Michael Neely | M. van Guilder | Alyona Chubatiuk | Tatiana Tatarinova
[1] B. Lindsay. The Geometry of Mixture Likelihoods: A General Theory , 1983 .
[2] A. Mallet. A maximum likelihood estimation method for random coefficient regression models , 1986 .
[3] D J Spiegelhalter,et al. Flexible random‐effects models using Bayesian semi‐parametric models: applications to institutional comparisons , 2007, Statistics in medicine.
[4] Bennett L. Fox,et al. Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators , 1986, TOMS.
[5] Stephen G. Walker,et al. Sampling the Dirichlet Mixture Model with Slices , 2006, Commun. Stat. Simul. Comput..
[6] David B. Dunson,et al. Bayesian Nonparametrics: Nonparametric Bayes applications to biostatistics , 2010 .
[7] W. Karush. Minima of Functions of Several Variables with Inequalities as Side Conditions , 2014 .
[8] L B Sheiner,et al. Estimating population kinetics. , 1982, Critical reviews in biomedical engineering.
[9] Alan Schumitzky,et al. Accurate Detection of Outliers and Subpopulations With Pmetrics, a Nonparametric and Parametric Pharmacometric Modeling and Simulation Package for R , 2012, Therapeutic drug monitoring.
[10] G. Roberts,et al. Retrospective Markov chain Monte Carlo methods for Dirichlet process hierarchical models , 2007, 0710.4228.
[11] K. Schittkowski,et al. NONLINEAR PROGRAMMING , 2022 .
[12] Hoon Kim,et al. Monte Carlo Statistical Methods , 2000, Technometrics.
[13] Martyn Plummer,et al. JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling , 2003 .
[14] J. Kiefer,et al. CONSISTENCY OF THE MAXIMUM LIKELIHOOD ESTIMATOR IN THE PRESENCE OF INFINITELY MANY INCIDENTAL PARAMETERS , 1956 .
[15] Stephen G. Walker,et al. Slice sampling mixture models , 2011, Stat. Comput..
[16] Alan Schumitzky,et al. Kullback-Leibler Markov Chain Monte Carlo - a New Algorithm for Finite Mixture Analysis and its Application to Gene Expression Data , 2008, J. Bioinform. Comput. Biol..
[17] Bayesian Nonparametric Population Models: Formulation and Comparison with Likelihood Approaches , 2004, Journal of Pharmacokinetics and Biopharmaceutics.
[18] Peter Müller,et al. A Bayesian Population Model with Hierarchical Mixture Priors Applied to Blood Count Data , 1997 .
[19] Xiaoning Wang,et al. Population pharmacokinetic/pharmacodynamic mixture models via maximum a posteriori estimation , 2009, Comput. Stat. Data Anal..
[20] Mats O. Karlsson,et al. Two bootstrapping routines for obtaining imprecision estimates for nonparametric parameter distributions in nonlinear mixed effects models , 2011, Journal of Pharmacokinetics and Pharmacodynamics.
[21] Dimitri P. Bertsekas,et al. Nonlinear Programming , 1997 .
[22] Jing Wang,et al. Dirichlet Processes in Nonlinear Mixed Effects Models , 2010, Commun. Stat. Simul. Comput..
[23] Roger W. Jelliffe,et al. The Nonparametric Adaptive Grid Algorithm for Population Pharmacokinetic Modeling , 2013 .
[24] Christian P. Robert,et al. The Bayesian choice , 1994 .
[25] Roger W. Jelliffe,et al. An adaptive grid non-parametric approach to pharmacokinetic and dynamic (PK/PD) population models , 2001, Proceedings 14th IEEE Symposium on Computer-Based Medical Systems. CBMS 2001.
[26] L Aarons,et al. Population pharmacokinetics. , 1992, International journal of clinical pharmacology, therapy, and toxicology.
[27] Sylvia Frühwirth-Schnatter,et al. Finite Mixture and Markov Switching Models , 2006 .
[28] A. Schumitzky. Nonparametric EM Algorithms for estimating prior distributions , 1991 .
[29] Peter Müller,et al. Bayesian Population Pharmacokinetic and Pharmacodynamic Analyses Using Mixture Models , 1997, Journal of Pharmacokinetics and Biopharmaceutics.
[30] Marc Lavielle,et al. Estimation of Population Pharmacokinetic Parameters of Saquinavir in HIV Patients with the MONOLIX Software , 2007, Journal of Pharmacokinetics and Pharmacodynamics.
[31] Xiaoning Wang,et al. Nonlinear random effects mixture models: Maximum likelihood estimation via the EM algorithm , 2007, Comput. Stat. Data Anal..
[32] Lancelot F. James,et al. Gibbs Sampling Methods for Stick-Breaking Priors , 2001 .
[33] D Bayard,et al. Achieving target goals most precisely using nonparametric compartmental models and "multiple model" design of dosage regimens. , 2000, Therapeutic drug monitoring.
[34] J. Sethuraman. A CONSTRUCTIVE DEFINITION OF DIRICHLET PRIORS , 1991 .
[35] Pulak Ghosh,et al. A semi‐parametric Bayesian approach to average bioequivalence , 2007, Statistics in medicine.
[36] Christian P. Robert,et al. Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.