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Maximum Likelihood Estimation in Dynamical Models of HIV

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  • J. Guedj
  • R. Thiébaut
  • D. Commenges

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  • J. Guedj & R. Thiébaut & D. Commenges, 2007. "Maximum Likelihood Estimation in Dynamical Models of HIV," Biometrics, The International Biometric Society, vol. 63(4), pages 1198-1206, December.
    • Handle: RePEc:bla:biomet:v:63:y:2007:i:4:p:1198-1206
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    File URL: http://hdl.handle.net/10.1111/j.1541-0420.2007.00812.x
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    References listed on IDEAS

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    1. David D. Ho & Avidan U. Neumann & Alan S. Perelson & Wen Chen & John M. Leonard & Martin Markowitz, 1995. "Rapid Turnover of Plasma Virions and CD4 Lymphocytes in HIV-1 Infection," Working Papers 95-01-002, Santa Fe Institute.
    2. Yangxin Huang & Dacheng Liu & Hulin Wu, 2006. "Hierarchical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System," Biometrics, The International Biometric Society, vol. 62(2), pages 413-423, June.
    3. Commenges Daniel & Rondeau Virginie, 2006. "Relationship between Derivatives of the Observed and Full Loglikelihoods and Application to Newton-Raphson Algorithm," The International Journal of Biostatistics, De Gruyter, vol. 2(1), pages 1-28, March.
    4. Hulin Wu & A. Adam Ding, 1999. "Population HIV-1 Dynamics In Vivo: Applicable Models and Inferential Tools for Virological Data from AIDS Clinical Trials," Biometrics, The International Biometric Society, vol. 55(2), pages 410-418, June.
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    Citations

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    Cited by:

    1. Christian L Althaus & Beda Joos & Alan S Perelson & Huldrych F Günthard, 2014. "Quantifying the Turnover of Transcriptional Subclasses of HIV-1-Infected Cells," PLOS Computational Biology, Public Library of Science, vol. 10(10), pages 1-11, October.
    2. Daniel Commenges & Anne Gégout‐Petit, 2009. "A general dynamical statistical model with causal interpretation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(3), pages 719-736, June.
    3. Jeremie Guedj & Rodolphe Thiébaut & Daniel Commenges, 2011. "Joint Modeling of the Clinical Progression and of the Biomarkers' Dynamics Using a Mechanistic Model," Biometrics, The International Biometric Society, vol. 67(1), pages 59-66, March.
    4. Mélanie Prague & Daniel Commenges & Julia Drylewicz & Rodolphe Thiébaut, 2012. "Treatment Monitoring of HIV-Infected Patients based on Mechanistic Models," Biometrics, The International Biometric Society, vol. 68(3), pages 902-911, September.
    5. Quentin Clairon & Chloé Pasin & Irene Balelli & Rodolphe Thiébaut & Mélanie Prague, 2024. "Parameter estimation in nonlinear mixed effect models based on ordinary differential equations: an optimal control approach," Computational Statistics, Springer, vol. 39(6), pages 2975-3005, September.
    6. Baisen Liu & Liangliang Wang & Yunlong Nie & Jiguo Cao, 2021. "Semiparametric Mixed-Effects Ordinary Differential Equation Models with Heavy-Tailed Distributions," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 26(3), pages 428-445, September.
    7. Commenges, D. & Jolly, D. & Drylewicz, J. & Putter, H. & Thiébaut, R., 2011. "Inference in HIV dynamics models via hierarchical likelihood," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 446-456, January.
    8. Marc Lavielle & Adeline Samson & Ana Karina Fermin & France Mentré, 2011. "Maximum Likelihood Estimation of Long-Term HIV Dynamic Models and Antiviral Response," Biometrics, The International Biometric Society, vol. 67(1), pages 250-259, March.
    9. Liu, Baisen & Wang, Liangliang & Nie, Yunlong & Cao, Jiguo, 2019. "Bayesian inference of mixed-effects ordinary differential equations models using heavy-tailed distributions," Computational Statistics & Data Analysis, Elsevier, vol. 137(C), pages 233-246.
    10. Huang Yangxin & Chen Jiaqing & Yan Chunning, 2012. "Mixed-Effects Joint Models with Skew-Normal Distribution for HIV Dynamic Response with Missing and Mismeasured Time-Varying Covariate," The International Journal of Biostatistics, De Gruyter, vol. 8(1), pages 1-30, November.
    11. Umberto Picchini & Andrea De Gaetano & Susanne Ditlevsen, 2010. "Stochastic Differential Mixed‐Effects Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 37(1), pages 67-90, March.

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