299
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Jointly Modeling Event Time and Skewed-Longitudinal Data with Missing Response and Mismeasured Covariate for AIDS Studies

, , , &
Pages 670-694 | Received 21 Jun 2013, Accepted 09 Dec 2013, Published online: 09 Jun 2015

REFERENCES

  • Arellano-Valle, R.B., Genton, M.G. (2005). On fundamental skew distributions. Journal of Multivariate Analysis 96:93–116.
  • Arellano-Valle, R.B., Bolfarine, H., Lachos, V.H. (2007). Bayesian inference for skew-normal linear mixed models. Journal of Applied Statistics 34:663–682.
  • Azzalini, A., Capitanio, A. (2003). Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t distributions. Journal of Royal Statistical Society, Series B 65:367–389.
  • Brown, E.R., Ibrahim, J.G. (2003). A Bayesian semiparametric joint hierarchical model for longitudinal and survival data. Biometrics 59:221–228.
  • Carroll, R.J., Ruppert, D., Stefanski, L.A., Crainiceanu, C.M. (2006). Measurement Error in Nonlinear Models: A Modern Perspective, 2nd edition. London: Chapman and Hall.
  • DeGruttola, V., Tu, X.M. (1994). Modeling progression of CD4-lymphocyte count and its relationship to survival time. Biometrics 50:1003–1014.
  • Ding, A., Wu, H. (1999). Relationships between antiviral treatment effects and biphasic viral decay rates in modeling HIV dynamics. Mathematical Biosciences 160:63–82.
  • Ding, A., Wu, H. (2001). Assessing antiviral potency of anti-HIV therapies in vivo by comparing viral decay rates in viral dynamic models. Biostatistics 2:13–29.
  • Dunson, D.B. (2006). Bayesian dynamic modeling of latent trait distributions. Biostatistics 7:551–568.
  • Escobar, M.D. (1994). Estimating normal means with a Dirichlet process prior. Journal of the American Statistical Association 89:268–277.
  • Ferguson, T.S. (1973). A Bayesian analysis of some nonparametric problems. Annals of Statistics 1:209–230.
  • Gelman, A., Carlin, J.B., Stern, H.S., Rubin, D.B. (2003). Bayesian Data Analysis. London: Chapman and Hall.
  • Guedj, J., Thiébaut, R., Commenges, D. (2007). Maximum likelihood estimation in dynamical models of HIV. Biometrics 63:1198–1206.
  • Ho, H., Lin, T. (2010). Robust linear mixed models using the skew t distribution with application to schizophrenia data. Biometrical Journal 52:449–469.
  • Huang, Y., Liu, D., Wu, H. (2006). Hierarchical Bayesian methods for estimation of parameters in a longitudinal HIV dynamic system. Biometrics 62:413–423.
  • Huang, Y., Dagne, G. (2011). A Bayesian approach to joint mixed-effects models with a skew-normal distribution and measurement errors in covariates. Biometrics 67:260–269.
  • Ibrahim, J.G., Chen, M.H., Lipsitz, S.R. (2001). Missing responses in generalized linear mixed models when the missing data mechanism is nonignorable. Biometrika 88:551–564.
  • Ishwaran, H., James, L. (2002). Dirichlet process computing in finite normal mixtures: smoothing and prior information. Journal of Computational and Graphical Statistics 11:508–532.
  • Jara, A., Quintana, F., Martin, E.S. (2008). Linear mixed models with skew-elliptical distributions: A Bayesian approach. Computational Statistics and Data Analysis 52:5033–5045.
  • Kleinman, K.P., Ibrahim, J.G. (1998). A semiparametric Bayesian approach to the random effects model. Biometrics 54:921–938.
  • Lachos, V.H., Bandyopadhyay, D., Dey, D.K. (2011). Linear and nonlinear mixed-effects models for censored HIV viral loads using normal/independent distributions. Biometrics 67:1594–1604.
  • Lederman, M.M., Connick, E., Landay, A., Kuritzkes, D.R., Spritzler, J, Clair, S.M., Kotzin, B.L., Fox, L., Chiozzi, M.H., Leonard, J.M., Rousseau, F., Wade, M., Roe, J.D., Martinez, A., Kessler, H. (1998). Immunologic responses associated with 12 weeks of combination antiretroviral therapy consisting of zidovudine, lamivudine, and ritonavir: results of AIDS Clinical Trials Group Protocol 315. Journal of Infectious Diseases 178:70–79.
  • Little, R.J.A., Rubin, D.B. (2002). Statistical Analysis with Missing Data, 2nd edition, New York: John Wiley.
  • Liu, W., Wu, L. (2007). Simultaneous inference for semiparametric nonlinear mixed-effects models with covariate measurement errors and missing responses. Biometrics 63:342–350.
  • Lunn, D.J., Thomas, A., Best, N., Spiegelhalter, D. (2000). WinBUGS – a Bayesian modelling framework: concepts, structure, an extensibility. Statistics and Computing 10:325–337.
  • Perelson, A.S., Neumann, A.U., Markowitz, M., Leonard, J.M., Ho, D.D. (1996). HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time. Science 271:1582–1586.
  • Sahu, S.K., Dey, D.K., Branco, M.D. (2003). A new class of multivariate skew distributions with applications to Bayesian regression models. The Canadian Journal of Statistics 31:129–150.
  • Spiegelhalter, D.J., Best, N.G., Carlin, B.P., Van der Linde, A. (2002). Bayesian measures of model complexity and fit (with Discussion). Journal of the Royal Statistical Society, Series B 64:583–639.
  • Tang, N.S., Duan, X.D. (2012). A semiparametric Bayesian approach to generalized partial linear mixed models for longitudinal data. Computational Statistics & Data Analysis 56:4348–4365.
  • Tsiatis, A.A., Davidian, M. (2004). An overview of joint modeling of longitudinal and time-to-event data. Statistica Sinica 14:809–834.
  • Wu, L. (2002). A joint model for nonlinear mixed-effects models with censoring and covariates measured with error, with application to AIDS studies. Journal of the American Statistical Association 97:955–964.
  • Wu, H, Ding, A.A. (1999). Population HIV-1 dynamics in vivo: applicable models and inferential tools for virological data from AIDS clinical trials. Biometrics 55:410–418.
  • Wu, L., Liu, W., Hu, X.J. (2010). Joint inference on HIV viral dynamics and immune suppression in presence of measurement errors. Biometrics 66:327–335.
  • Wu, H., Wu, L. (2002). Identification of significant host factors for HIV dynamics modeled by nonlinear mixed-effects models. Statistics in Medicine 21:753–771.
  • Wu, H., Zhang, J-T. (2002). The study of long-term HIV dynamics using semi-parametric non-linear mixed-effects models. Statistics in Medicine 21:3655–3675.
  • Yi, G.Y., Liu, W., Wu, L. (2011). Simultaneous inference and bias analysis for longitudinal data with covariate measurement error and missing responses. Biometrics 67:67–75.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.