Empirical likelihood for varying-coefficient semiparametric mixed-effects errors-in-variables models with longitudinal data
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Bai Y, Fung WK, Zhu ZY (2010) Weighted empirical likelihood for generalized linear models with longitudinal data. J Stat Plan Inference 140:3446–3456
Chen QH, Zhong PS, Cui HJ (2009) Empirical likelihood for mixed-effects error-in-variables model. Acta Mathematicae Applicatae Sinica (English Series) 25:561–578
Cui HJ, Chen SX (2003) Empirical likelihood confidence region for parameter in the errors-in-variables models. J Multivar Anal 84:101–115
Cui HJ, Ng Kai W (2004) Estimation in mixed effects model with errors in variables. J Multivar Anal 91:53–73
Fan JQ, Huang T (2005) Profile likelihood inferences on semi-parametric varying-coefficient partially linear models. Bernoulli 11:1031–1057
Fan JQ, Li R (2004) New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis. J Am Stat Assoc 99:710–723
Huang JZ, Wu CO, Zhou L (2002) Varying-coefficient models and basis function approximations for the analysis of repeated measurements. Biometrika 89:111–128
Huang JZ, Wu CO, Zhou L (2004) Polynomial spline estimation and inference for varying coefficient models with longitudinal data. Statistica Sinica 14:763–788
Huang ZS, Zhang RQ (2009) Empirical likelihood for nonparametric parts in semiparametric varying-coefficient partially linear models. Stat Probab Lett 79:1798–1808
Huang ZS, Zhou ZG, Jiang R, Qian WM, Zhang RQ (2010) Empirical likelihood based inference for semiparametric varying-coefficient partially linear models with error-prone linear covariates. Stat Probab Lett 80:497–504
Kaslow RA, Ostrow DG, Detels R, Phair JP, Polk BF, Rinaldo CJ (1987) The multicenter AIDS cohort study: rationale, organization and selected characteristics of the participants. Am J Epidemiol 126:310–318
Kolaczyk ED (1994) Empirical likelihood for generalized linear models. Statistica Sinica 4:199–218
Li YS, Lin XH, Muller P (2010) Bayesian inference in semiparametric mixed models for longitudinal data. Biometrics 66:70–78
Li GR, Xue LG (2008) Empirical likelihood confidence region for the parameter in a partially linear errors-in-variables model. Commun Stat Theory Methods 37:1552–1564
Liang H (2000) Asymptotic normality of parametric part in partially linear models with measurement error in the nonparametric part. J Stat Plan Inference 86:51–62
Liang H, Härdle W, Carroll RJ (1999) Estimation in a semiparametric partially linear errors-in-variables model. Ann Stat 27:1519–1535
Liang KY, Zeger SL (1986) Longitudinal data analysis using generalized linear model. Biometrika 73:13–22
Lin DY, Ying Z (2001) Semiparametric and nonparametric regression analysis of longitudinal data (with discussion). J Am Stat Assoc 96:103–126
Qin GY, Bai Y, Zhu ZY (2009) Robust empirical likelihood inference for longitudinal data. Stat Probab Lett 79:2101–2108
Ruppert D, Wand MP, Carroll RJ (2003) Semiparametric regression. Cambridge University Press, Cambridge
Vonesh EF, Chinchilli VM (1996) Linear and nonlinear models for the analysis of repeated measurements. Marcel Dekker, New York
Wang XL, Li GR, Lin L (2011) Empirical likelihood inference for semi-parametric varying-coefficient partially linear EV models. Metrika 73:171–185
Wang SJ, Qian LF, Carroll RJ (2010) Generalized empirical likelihood methods for analyzing longitudinal data. Biometrika 97:79–93
Wei CH (2011) Estimation in varying-coefficient errors-in-variables models with missing response variables. Commun Stat Simul Comput 40:383–393
Wu H, Zhang JT (2006) Nonparametric regression methods for longitudinal data. Wiley, New Jersey
Xue LG, Zhu LX (2007a) Empirical likelihood for a varying coefficient model with longitudinal data. J Am Stat Assoc 102:642–654
Xue LG, Zhu LX (2007b) Empirical likelihood semiparametric regression analysis for longitudinal data. Biometrika 94:921–937
Xue LG, Zhu LX (2008) Empirical likelihood-based inference in a partially linear model for longitudinal data. Sci China Ser A 51:115–130
You JH, Chen GM, Zhou Y (2006) Block empirical likelihood for longitudinal partially linear regression models. Can J Stat 34:79–96
You JH, Chen GM (2006) Estimation of a semiparametric varying-coefficient partially linear errors-in-variables model. J Multivar Anal 97:324–341
Zeger SL, Diggle PJ (1994) Semiparametric models for longitudinal data with application to CD4 cell numbers in HIV seroconverters. Biometrics 50:689–699
Zhao PX, Xue LG (2009) Empirical likelihood inferences for semiparametric varying-coefficient partially linear error-in-variables models with longitudinal data. J Nonparametr Stat 21:907–923
Zhao PX, Xue LG (2010) Variable selection for semiparametric varying coefficient partially linear errors-in-variables models. J Multivar Anal 101:1872–1883
Zhang D, Lin X, Raz J, Sowers M (1998) Semiparametric stochastic mixed models for longitudinal data. J Am Stat Assoc 93:710–719
Zhong XP, Fung WK, Wei BC (2002) Estimation in linear models with random effects and errors-in-variables. Ann Inst Math Stat 54:595–606
Zhou Y, Liang H (2009) Statistical inference for semiparametric varying-coefficient partially linear models with error-prone linear covariates. Ann Stat 37:427–458