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Volumn 54, Issue 3, 2012, Pages 405-425

Skew-normal/independent linear mixed models for censored responses with applications to HIV viral loads

Author keywords

Bayesian inference; Detection limit; HIV viral load; Linear mixed models; Skew normal independent distribution

Indexed keywords

BAYESIAN NETWORKS; INFERENCE ENGINES; MARKOV PROCESSES;

EID: 84862230773     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.201000173     Document Type: Article
Times cited : (35)

References (56)
  • 4
    • 19744373319 scopus 로고    scopus 로고
    • The skew-normal distribution and related multivariate families
    • Azzalini, A. (2005). The skew-normal distribution and related multivariate families. Scandinavian Journal of Statistics 32, 159-188.
    • (2005) Scandinavian Journal of Statistics , vol.32 , pp. 159-188
    • Azzalini, A.1
  • 6
    • 0001417140 scopus 로고    scopus 로고
    • The multivariate skew-normal distribution
    • Azzalini, A. and Dalla Valle, A. (1996). The multivariate skew-normal distribution. Biometrika 83, 715-726.
    • (1996) Biometrika , vol.83 , pp. 715-726
    • Azzalini, A.1    Dalla Valle, A.2
  • 8
    • 0035178888 scopus 로고    scopus 로고
    • A general class of multivariate skew-elliptical distributions
    • Branco, M. D. and Dey, D. K. (2001). A general class of multivariate skew-elliptical distributions. Journal of Multivariate Analysis 79, 99-113.
    • (2001) Journal of Multivariate Analysis , vol.79 , pp. 99-113
    • Branco, M.D.1    Dey, D.K.2
  • 9
    • 0036435017 scopus 로고    scopus 로고
    • Discussion on the paper by Spiegelhalter, Best, Carlin, and van der Linde (2002)
    • Brooks, S. P. (2002). Discussion on the paper by Spiegelhalter, Best, Carlin, and van der Linde (2002). Journal of the Royal Statistical Society: Series B 64, 616-618.
    • (2002) Journal of the Royal Statistical Society: Series B , vol.64 , pp. 616-618
    • Brooks, S.P.1
  • 10
    • 77958061677 scopus 로고    scopus 로고
    • Bayesian nonlinear regression models with scale mixtures of skew normal distributions: estimation and case influence diagnostics
    • Cancho, V., Dey, D., Lachos, V. and Andrade, M. (2010). Bayesian nonlinear regression models with scale mixtures of skew normal distributions: estimation and case influence diagnostics. Computational Statistics & Data Analysis 55, 588-602.
    • (2010) Computational Statistics & Data Analysis , vol.55 , pp. 588-602
    • Cancho, V.1    Dey, D.2    Lachos, V.3    Andrade, M.4
  • 13
    • 70350707424 scopus 로고    scopus 로고
    • Bayesian analysis for nonlinear regression model under skewed errors, with application in growth curves
    • De la Cruz, R. and Branco, M. (2009). Bayesian analysis for nonlinear regression model under skewed errors, with application in growth curves. Biometrical Journal 51, 588-609.
    • (2009) Biometrical Journal , vol.51 , pp. 588-609
    • De la Cruz, R.1    Branco, M.2
  • 14
    • 0031440106 scopus 로고    scopus 로고
    • Bayesian approach for nonlinear random effects models
    • Dey, D., Chen, M. and Chang, H. (1997). Bayesian approach for nonlinear random effects models. Biometrics 53, 1239-1252.
    • (1997) Biometrics , vol.53 , pp. 1239-1252
    • Dey, D.1    Chen, M.2    Chang, H.3
  • 16
    • 0000079228 scopus 로고
    • Model determination using predictive distributions with implementation via sampling-based methods
    • J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith (Eds.), Oxford Univ. Press, New York
    • Gelfand, A. E., Dey, D. K. and Chang, H. (1992). Model determination using predictive distributions with implementation via sampling-based methods. In: J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith (Eds.), Bayesian Statistics 4 (Peñíscola, 1991). Oxford Univ. Press, New York, pp. 147-167.
    • (1992) Bayesian Statistics 4 (Peñíscola, 1991) , pp. 147-167
    • Gelfand, A.E.1    Dey, D.K.2    Chang, H.3
  • 18
    • 85163247998 scopus 로고    scopus 로고
    • mvtnorm: Multivariate Normal and t Distributions. R package version 0.9-9991. Available at
    • Genz, A., Bretz, F., Miwa, T., Mi, X., Leisch, F., Scheipl, F. and Hothorn, T. (2011). mvtnorm: Multivariate Normal and t Distributions. R package version 0.9-9991. Available at.
    • (2011)
    • Genz, A.1    Bretz, F.2    Miwa, T.3    Mi, X.4    Leisch, F.5    Scheipl, F.6    Hothorn, T.7
  • 19
    • 10944222639 scopus 로고    scopus 로고
    • Smooth random effects distribution in a linear mixed model
    • Ghidey, W., Lesaffre, E. and Eilers, P. (2004). Smooth random effects distribution in a linear mixed model. Biometrics 60, 945-953.
    • (2004) Biometrics , vol.60 , pp. 945-953
    • Ghidey, W.1    Lesaffre, E.2    Eilers, P.3
  • 20
    • 33847735892 scopus 로고    scopus 로고
    • Bivariate random effect model using skew-normal distribution with application to HIV-RNA
    • Ghosh, P., Branco, M. and Chakraborty, H. (2007). Bivariate random effect model using skew-normal distribution with application to HIV-RNA. Statistics in Medicine 26, 1255-1267.
    • (2007) Statistics in Medicine , vol.26 , pp. 1255-1267
    • Ghosh, P.1    Branco, M.2    Chakraborty, H.3
  • 21
    • 1442302249 scopus 로고    scopus 로고
    • Modelling HIV-RNA viral load in vertically infected children
    • Gray, L., Cortina-Borja, M. and Newell, M. (2004). Modelling HIV-RNA viral load in vertically infected children. Statistics in Medicine 23, 769-781.
    • (2004) Statistics in Medicine , vol.23 , pp. 769-781
    • Gray, L.1    Cortina-Borja, M.2    Newell, M.3
  • 22
    • 77956283939 scopus 로고    scopus 로고
    • Robust linear mixed models using the skew-t distribution with application to schizophrenia data
    • Ho, H. and Lin, T. (2010). Robust linear mixed models using the skew-t distribution with application to schizophrenia data. Biometrical Journal 52, 449-469.
    • (2010) Biometrical Journal , vol.52 , pp. 449-469
    • Ho, H.1    Lin, T.2
  • 23
    • 35548944470 scopus 로고    scopus 로고
    • Flexible modeling of random effects in linear mixed models-a Bayesian approach
    • Ho, R. K. W. and Hu, I. (2008). Flexible modeling of random effects in linear mixed models-a Bayesian approach. Computational Statistics & Data Analysis 52, 1347-1361.
    • (2008) Computational Statistics & Data Analysis , vol.52 , pp. 1347-1361
    • Ho, R.K.W.1    Hu, I.2
  • 24
    • 0030327881 scopus 로고    scopus 로고
    • The effect of improper priors on Gibbs sampling in hierarchical linear mixed models
    • Hobert, J. and Casella, G. (1996). The effect of improper priors on Gibbs sampling in hierarchical linear mixed models. Journal of the American Statistical Association 91, 1461-1473.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 1461-1473
    • Hobert, J.1    Casella, G.2
  • 26
    • 79951476450 scopus 로고    scopus 로고
    • Skew-normal Bayesian nonlinear mixed-effects models with application to AIDS studies
    • Huang, Y. and Dagne, G. (2010). Skew-normal Bayesian nonlinear mixed-effects models with application to AIDS studies. Statistics in Medicine 29, 2384-2398.
    • (2010) Statistics in Medicine , vol.29 , pp. 2384-2398
    • Huang, Y.1    Dagne, G.2
  • 27
    • 79952590669 scopus 로고    scopus 로고
    • A Bayesian approach to joint mixed-effects models with a skew-normal distribution and measurement errors in covariates
    • Huang, Y. and 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.
    • (2011) Biometrics , vol.67 , pp. 260-269
    • Huang, Y.1    Dagne, G.2
  • 28
    • 0032967506 scopus 로고    scopus 로고
    • Mixed effects models with censored data with application to HIV RNA levels
    • Hughes, J. (1999). Mixed effects models with censored data with application to HIV RNA levels. Biometrics 55, 625-629.
    • (1999) Biometrics , vol.55 , pp. 625-629
    • Hughes, J.1
  • 29
    • 0001025775 scopus 로고    scopus 로고
    • Analysis of left-censored longitudinal data with application to viral load in HIV infection
    • Jacqmin-Gadda, H., Thiebaut, R., Chene, G. and Commenges, D. (2000). Analysis of left-censored longitudinal data with application to viral load in HIV infection. Biostatistics 1, 355-368.
    • (2000) Biostatistics , vol.1 , pp. 355-368
    • Jacqmin-Gadda, H.1    Thiebaut, R.2    Chene, G.3    Commenges, D.4
  • 30
    • 46549086432 scopus 로고    scopus 로고
    • Linear mixed models with skew-elliptical distributions: a Bayesian approach
    • San Martí
    • Jara, A., Quintana, F. and San Martín, E. (2008). Linear mixed models with skew-elliptical distributions: a Bayesian approach. Computational Statistics & Data Analysis 52, 5033-5045.
    • (2008) Computational Statistics & Data Analysis , vol.52 , pp. 5033-5045
    • Jara, A.1    Quintana, F.2    San Martín, E.3
  • 33
    • 69249203484 scopus 로고    scopus 로고
    • Robust linear mixed models with skew-normal independent distributions from a Bayesian perspective
    • Lachos, V. H., Dey, D. K. and Cancho, V. G. (2009). Robust linear mixed models with skew-normal independent distributions from a Bayesian perspective. Journal of Statistical Planning and Inference 139, 4098-4110.
    • (2009) Journal of Statistical Planning and Inference , vol.139 , pp. 4098-4110
    • Lachos, V.H.1    Dey, D.K.2    Cancho, V.G.3
  • 34
    • 77249149032 scopus 로고    scopus 로고
    • Likelihood based inference for skew-normal independent linear mixed models
    • Lachos, V. H., Ghosh, P. and Arellano-Valle, R. B. (2010). Likelihood based inference for skew-normal independent linear mixed models. Statistica Sinica 20, 303-322.
    • (2010) Statistica Sinica , vol.20 , pp. 303-322
    • Lachos, V.H.1    Ghosh, P.2    Arellano-Valle, R.B.3
  • 35
    • 0020333131 scopus 로고
    • Random-effects models for longitudinal data
    • Laird, N. and Ware, J. (1982). Random-effects models for longitudinal data. Biometrics 38, 963-974.
    • (1982) Biometrics , vol.38 , pp. 963-974
    • Laird, N.1    Ware, J.2
  • 37
    • 77249087273 scopus 로고    scopus 로고
    • Longitudinal data analysis using t linear mixed models with autoregressive dependence structures
    • Lin, T. (2008). Longitudinal data analysis using t linear mixed models with autoregressive dependence structures. Journal of Data Science 6, 333-355.
    • (2008) Journal of Data Science , vol.6 , pp. 333-355
    • Lin, T.1
  • 38
    • 42149136843 scopus 로고    scopus 로고
    • Estimation and prediction in linear mixed models with skew-normal random effects for longitudinal data
    • Lin, T. and Lee, J. (2008). Estimation and prediction in linear mixed models with skew-normal random effects for longitudinal data. Statistics in Medicine 27, 1490-1507.
    • (2008) Statistics in Medicine , vol.27 , pp. 1490-1507
    • Lin, T.1    Lee, J.2
  • 39
    • 0030070991 scopus 로고    scopus 로고
    • Prognosis in HIV-1 infection predicted by the quantity of virus in plasma
    • Mellors, J., Rinaldo, C., Jr, Gupta, P., White, R., Todd, J. and Kingsley, L. (1996). Prognosis in HIV-1 infection predicted by the quantity of virus in plasma. Science 272, 1167-1170.
    • (1996) Science , vol.272 , pp. 1167-1170
    • Mellors, J.1    Rinaldo Jr., C.2    Gupta, P.3    White, R.4    Todd, J.5    Kingsley, L.6
  • 40
    • 84989405947 scopus 로고
    • Bayesian analysis of outlier problems using divergence measures
    • Peng, F. and Dey, D. K. (1995). Bayesian analysis of outlier problems using divergence measures. The Canadian Journal of Statistics 23, 199-213.
    • (1995) The Canadian Journal of Statistics , vol.23 , pp. 199-213
    • Peng, F.1    Dey, D.K.2
  • 41
    • 84862235894 scopus 로고    scopus 로고
    • HIV viral dynamic models with censoring and informative dropouts
    • Qiu, W. and Wu, L. (2010). HIV viral dynamic models with censoring and informative dropouts. Statistics in Biopharmaceutical Research 2, 220-228.
    • (2010) Statistics in Biopharmaceutical Research , vol.2 , pp. 220-228
    • Qiu, W.1    Wu, L.2
  • 42
    • 85163248290 scopus 로고    scopus 로고
    • R Development Core Team. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0. Available at
    • R Development Core Team (2011). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0. Available at.
    • (2011)
  • 43
    • 34247141560 scopus 로고    scopus 로고
    • Estimating the integrated likelihood via posterior simulation using the harmonic mean identity
    • J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith and M. West (Eds.), Oxford University Press, New York
    • Raftery, A. E., Newton, M. A., Satagopan, J. M. and Krivitsky, P. N. (2007). Estimating the integrated likelihood via posterior simulation using the harmonic mean identity. In: J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith and M. West (Eds.), Bayesian Statistics 8 (volume 8). Oxford University Press, New York, pp. 1-45.
    • (2007) Bayesian Statistics 8 (volume 8) , pp. 1-45
    • Raftery, A.E.1    Newton, M.A.2    Satagopan, J.M.3    Krivitsky, P.N.4
  • 44
    • 0042570344 scopus 로고    scopus 로고
    • Robust linear mixed models with normal/independent distributions and Bayesian MCMC implementation
    • Rosa, G. J. M., Padovani, C. R. and Gianola, D. (2003). Robust linear mixed models with normal/independent distributions and Bayesian MCMC implementation. Biometrical Journal 45, 573-590.
    • (2003) Biometrical Journal , vol.45 , pp. 573-590
    • Rosa, G.J.M.1    Padovani, C.R.2    Gianola, D.3
  • 45
    • 0242595939 scopus 로고    scopus 로고
    • A new class of multivariate skew distributions with applications to Bayesian regression models
    • Sahu, S., Dey, D. and Branco, M. (2003). A new class of multivariate skew distributions with applications to Bayesian regression models. Canadian Journal of Statistics 31, 129-150.
    • (2003) Canadian Journal of Statistics , vol.31 , pp. 129-150
    • Sahu, S.1    Dey, D.2    Branco, M.3
  • 47
    • 0033006795 scopus 로고    scopus 로고
    • Bayesian analysis and model selection for interval-censored survival data
    • Sinha, D., Chen, M. and Ghosh, S. (1999). Bayesian analysis and model selection for interval-censored survival data. Biometrics 55, 585-590.
    • (1999) Biometrics , vol.55 , pp. 585-590
    • Sinha, D.1    Chen, M.2    Ghosh, S.3
  • 49
    • 34547150734 scopus 로고    scopus 로고
    • Efficient hybrid EM for linear and nonlinear mixed effects models with censored response
    • Vaida, F., Fitzgerald, A. and DeGruttola, V. (2007). Efficient hybrid EM for linear and nonlinear mixed effects models with censored response. Computational Statistics & Data Analysis 51, 5718-5730.
    • (2007) Computational Statistics & Data Analysis , vol.51 , pp. 5718-5730
    • Vaida, F.1    Fitzgerald, A.2    DeGruttola, V.3
  • 50
    • 72449166341 scopus 로고    scopus 로고
    • Fast implementation for normal mixed effects models with censored response
    • Vaida, F. and Liu, L. (2009a). Fast implementation for normal mixed effects models with censored response. Journal of Computational and Graphical Statistics 18, 797-817.
    • (2009) Journal of Computational and Graphical Statistics , vol.18 , pp. 797-817
    • Vaida, F.1    Liu, L.2
  • 51
    • 85163249313 scopus 로고    scopus 로고
    • lmec: Linear Mixed-Effects Models with Censored Responses. R package version 1.0.
    • Vaida, F. and Liu, L. (2009b). lmec: Linear Mixed-Effects Models with Censored Responses. R package version 1.0.
    • (2009)
    • Vaida, F.1    Liu, L.2
  • 52
    • 0000569928 scopus 로고    scopus 로고
    • A linear mixed-effects model with heterogeneity in the random-effects population
    • Verbeke, G. and Lesaffre, E. (1996). A linear mixed-effects model with heterogeneity in the random-effects population. Journal of the American Statistical Association 91, 217-221.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 217-221
    • Verbeke, G.1    Lesaffre, E.2
  • 54
    • 77950864914 scopus 로고    scopus 로고
    • A Bayesian MCMC approach to survival analysis with doubly-censored data
    • Yu, B. (2010). A Bayesian MCMC approach to survival analysis with doubly-censored data. Computational Statistics & Data Analysis 54, 1921-1929.
    • (2010) Computational Statistics & Data Analysis , vol.54 , pp. 1921-1929
    • Yu, B.1
  • 55
    • 0034862723 scopus 로고    scopus 로고
    • Linear mixed models with flexible distributions of random effects for longitudinal data
    • Zhang, D. and Davidian, M. (2001). Linear mixed models with flexible distributions of random effects for longitudinal data. Biometrics 57, 795-802.
    • (2001) Biometrics , vol.57 , pp. 795-802
    • Zhang, D.1    Davidian, M.2
  • 56
    • 33745929657 scopus 로고    scopus 로고
    • General design Bayesian generalized linear mixed models
    • Zhao, Y., Staudenmayer, J., Coull, B. and Wand, M. (2006). General design Bayesian generalized linear mixed models. Statistical Science 21, 35-51.
    • (2006) Statistical Science , vol.21 , pp. 35-51
    • Zhao, Y.1    Staudenmayer, J.2    Coull, B.3    Wand, M.4


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