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Original Articles

Bayesian Two-Part Tobit Models with Left-Censoring, Skewness, and Nonignorable Missingness

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Pages 714-730 | Received 03 Mar 2013, Accepted 12 Jan 2014, Published online: 09 Jun 2015

REFERENCES

  • Acosta, E. P., Wu, H., Walawander, A., Eron, J., Pettinelli, C., Yu, S., Neath, D., Ferguson, E., Saah, A. J., Kuritzkes, D. R., Gerber, J. G., for the Adult ACTG 5055 Protocol Team. (2004). Comparison of two indinavir/ritonavir regimens in treatment-experienced HIV-infected individuals. Journal of Acquired Immune Deficiency Syndromes 37:1358–1366.
  • Arellano-Valle, R. B., Genton, M. G. (2005). On fundamental skew distributions. Journal of Multivariate Analysis 96:93–116.
  • Balter, M. (1997). How does HIV overcome the body’s T-cell bodyguards? Science 278:1399–1400.
  • Carroll, R. J., Ruppert, D., Stefanski, L. A., Crainiceanu, C. M. (2006). Measurement Error in Nonlinear Models: A Modern Perspective, 2nd ed. London: Chapman & Hall.
  • Coombs, R.W., Speck, C. E., Hughes, J. P., Lee, W., Sampoleo, R., Ross, S. O., Dragavon, J., Peterson, G., Hooton, T. M., Collier, A. C., Corey, L., Koutsky, L., Krieger, J. N. (1998). Association between culturable human immunodeficiency virus type-1 (HIV-1) in semen and HIV-1 RNA levels in semen and blood: evidence for compartmentalization of HIV-1 between semen and blood. Journal of Infectious Disease 177:320–330.
  • Daniels, M. J., Hogan, J. W. (2008). Missing Data in Longitudinal Studies: Strategies for Bayesian Modeling and Sensitivity Analysis. New York, NY: Chapman & Hall/CRC.
  • Davidian, M., Giltinan, D. M. (1995). Nonlinear Models for Repeated Measurement Data. London: Chapman & Hall.
  • Gelman, A., Carlin, J. B., Stern, H. S., Rubin, D. B. (2004). Bayesian Data Analysis. New York, NY: Chapman & Hall/CRC.
  • Genton, M. G. (2004). Skew-Elliptical Distributions and Their Applications: A Journey Beyond Normality. Edited Volume. Boca Raton, FL: Chapman & Hall / CRC.
  • Higgins, K. M., Davidian, M., Giltinan, D. M. (1997). A two-step method to measurement error in time dependent covariates in nonlinear mixed-effects models, with application to IGF-I pharmacokinetics. Journal of the American Statistical Association 92:436–448.
  • Hornung, R. W., Reed, L. D. (1990). Estimation of average concentration in the presence of nondetectable values. Applied Occupational and Environmental Hygiene 4:46–51.
  • Huang, Y., Liu, D., Wu, H. (2006). Hierarchical Bayesian methods for estimation of parameters in a longitudinal HIV dynamic system. Biometrics 62:413–423.
  • Hughes, J. P. (1999). Mixed effects models with censored data with application to HIV RNA levels. Biometrics 55:625–629.
  • 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.
  • Ibrahim, J., Molenberghs, G. (2009). Missing data methods in longitudinal studies: A review (with discussion). Test 18:1–43.
  • Little, R. J. A., Rubin, D. B. (2002). Statistical Analysis with Missing Data, 2nd ed. Princeton, NJ: 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.
  • Liu, W., Wu, L. (2012). Two-step and likelihood methods for HIV viral dynamic models with covariate measurement errors and missing data. Journal of Applied Statistics 39:963–978.
  • Molenberghs, G., Kenward, M. G. (2007). Missing Data in Clinical Studies. New York, NY: Wiley.
  • Ntzoufras, I. (2009). Bayesian Modeling Using WinBUGS. Hoboken, NJ: Wiley.
  • Paxton, W. B., Coombs, R. W., McElrath, M. J., Keefer, M. C., Hughes, J., Corey, L. (1997). Longitudinal analysis of quantitative virologic measures in human immunodeficiency virus-infected subjects with CD4 lymphocytes: Implication for applying measurements to individual patients. Journal of Infectious Disease 175:247–254.
  • Pinheiro, J. C., Bates, D. M. (2000). Mixed-Effects Models in S and S-PLUS. New York, NY: Springer.
  • 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.
  • Schnedler, W. (2005). Likelihood estimation for censored random vectors. Econometric Reviews 24:195–217.
  • Schmidt, P., Witte, A. D. (1984). An Economic Analysis of Crime and Justice. Orlando, FL: Academic Press.
  • Schockmel, G. A., Yerly, S., Perrin, L. (1997). Detection of Low HIV-1 RNA Levels in Plasma. Journal of Acquired Immune Deficiency Syndromes & Human Retrovirology 14:179–183.
  • Spiegelhalter, D. J., Best, N. G., Carlin, B. P., van der Linde, A. (2002). Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society, Series B 64:583–639.
  • Tobin, J. (1958). Estimation of relationships for limited dependent variables. Econometrica 26:24–36.
  • Verbeke, G., Lesaffre, E. (1998). A linear mixed-effects model with heterogeneity in random-effects population. Journal of the American Statistical Association 91:217–221.
  • 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.
  • 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. (2009). Mixed Effects Models for Complex Data, Boca Raton, FL/NewYork, NY: Chapman & Hall/CRC.
  • Zhang, L., Ramratnam, B., Tenner-Racz, K., He, Y., Vesanen, M., Lewin, S., Tala, A., Racz, P., Perelson, A. S., Korber, B. T., Markowitz, M., Ho, D. D. (1999). Quantifying residual HIV-1 replication in patients receiving combination antiretroviral therapy. New England Journal of Medicine 340:1605–1613.

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