Local estimation for longitudinal semiparametric varying-coefficient partially linear model

Journal of the Korean Statistical Society - Tập 46 - Trang 246-266 - 2017
Yanghui Liu1, Riquan Zhang1, Hongmei Lin1
1School of Finance and Statistics, East China Normal University, Shanghai, 200241, PR China

Tài liệu tham khảo

Ahmad, 2005, Efficient estimation of a semiparametric partially linear varying coefficient model, The Annals of Statistics, 33, 258, 10.1214/009053604000000931 Fan, 1996 Fan, 2005, Profile likelihood inferences on semiparametric varying-coefficient partially linear models, Bernoulli, 11, 1031, 10.3150/bj/1137421639 Fan, 2007, Analysis of longitudinal data with semiparametric estimation of covariance function, Journal of the American Statistical Association, 102, 632, 10.1198/016214507000000095 Fan, 2001, Variable selection via nonconcave penalized likelihood and its oracle properties, Journal of the American Statistical Association, 96, 1348, 10.1198/016214501753382273 Fan, 2004, New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis, Journal of the American Statistical Association, 99, 710, 10.1198/016214504000001060 Fan, 2008, Statistical methods with varying coefficient models, Statistics and its Interface, 1, 179, 10.4310/SII.2008.v1.n1.a15 Härdle, 2000 Hoover, 1998, Nonparametric smoothing estimates of time-varying-coefficient models with longitudinal data, Biometrika, 85, 809, 10.1093/biomet/85.4.809 Huang, 2004, Functional coefficient regression models for nonlinear time series: A polynomial spline approach, Scandinavian Journal of Staitstics, 31, 515, 10.1111/j.1467-9469.2004.00404.x Huang, 2002, Varying-coefficient models and basis function approximations for the analysis of repeated measurements, Biometrika, 89, 111, 10.1093/biomet/89.1.111 Kai, 2011, New efficient estimation and variable selection method for semiparametric varying-coefficient partially linear models, The Annals of Statistics, 39, 305, 10.1214/10-AOS842 Lavergne, P. (2008). A Cauchy-schwarz inequality for expectation of matrices. Working paper. Leng, 2010, Semiparametric mean-covariance regression analysis for longitudinal data, Journal of the American Statistical Association, 105, 181, 10.1198/jasa.2009.tm08485 Li, 2002, Semiparametric smooth coefficient models, Journal of Business & Economic Statistics, 20, 412, 10.1198/073500102288618531 Li, 2008, Variable selection in semiparametric regression modeling, The Annals of Statistics, 36, 261, 10.1214/009053607000000604 Liang, 1986, Longitudinal data analysis using generalized linear models, Biometrika, 73, 13, 10.1093/biomet/73.1.13 Lin, 2000, Nonparametric function estimation for clustered data when the predictor is measured without/with error, Journal of the American Statistical Association, 95, 520, 10.1080/01621459.2000.10474229 Lin, 2016, A new local estimation method for single index models for longitudinal data, Journal of Nonparametric Statistics, 10.1080/10485252.2016.1191632 Mao, 2011, Joint semiparametric mean-covariance model in longitudinal study, Science China-Mathematics, 54, 145, 10.1007/s11425-010-4078-4 Pourahmadi, M. (2005). Simultaneous modelling of covariance matrices: glm, Bayesian and nonparametric perspectives. Pourahmadi, 1999, Joint mean-covariance models with applications to longitudinal data: unconstrained parameterisation, Biometrika, 86, 677, 10.1093/biomet/86.3.677 Pourahmadi, 2000, Maximum likelihood estimation of generalised linear models for multivariate normal covariance matrix, Biometrika, 87, 425, 10.1093/biomet/87.2.425 Ruppert, 1995, An effective bandwidth selector for local least squares regression, Journal of the American Statistical Association, 90, 1257, 10.1080/01621459.1995.10476630 Xia, 2013, Block empirical likelihood for semiparametric varying-coefficient partially linear errors-in-variables models with longitudinal data, Journal of Probability and Statistics, 2013, 1, 10.1155/2013/807135 Yao, 2013, New local estimation proceure for a non-parametric regression function for longitudinal data, Journal of the Royal Statistical Society: Series B, 75, 123, 10.1111/j.1467-9868.2012.01038.x Ye, 2006, Modeling of covariates structures in generalized estimating equations for longitudinal data, Biometrika, 93, 927, 10.1093/biomet/93.4.927 You, 2006, Empirical likelihood for semiparametric varying-coefficient partially linear regression models, Statistics & Probability Letters, 76, 412, 10.1016/j.spl.2005.08.029 Zhang, 2002, Local polynomial fitting in semivarying coefficient model, Journal of Multivariate Analysis, 82, 166, 10.1006/jmva.2001.2012 Zhang, 2013, Robust estimation and variable selection for semiparametric partially linear varying coefficient model based on modal regression, Journal of Nonparametric Statistics, 25, 523, 10.1080/10485252.2013.772179 Zhao, 2009, Empirical likelihood inferences for semiparametric varying-coefficient partially linear errors-in-variables models with longitudinal data, Journal of Nonparametric Statistics, 21, 907, 10.1080/10485250902980576 Zhao, 2009, Variable selection for semiparametric varying coefficient partially linear models, Statistics & Probability Letters, 79, 2148, 10.1016/j.spl.2009.07.004 Zou, 2006, The adaptive lasso and its oracle properties, Journal of the American Statistical Association, 101, 1418, 10.1198/016214506000000735