Statistical inference for a single-index varying coefficient model with measurement errors in all covariates

References

• Ichimura H. Semiparametric least squares (SLS) and weighted SLS estimation of single-index models. J Econom. 1993;58:71–120.
   Web of Science ®Google Scholar
• Horowitz J. Semiparametric methods in econometrics. New York: Springer-Verlag; 1998.
   Google Scholar
• Delecroix M, Härdle W, Hristache M. Efficient estimation in conditional single-index regression. J Multivar Anal. 2003;86:213–226.
   Web of Science ®Google Scholar
• Xia Y, Tong H, Li W. Single-index volatility models and estimation. Stat Sin. 2002;12:785–799.
   Web of Science ®Google Scholar
• Xue L, Zhu L. Empirical likelihood for single-index models. J Multivar Anal. 2006;97:1295–1312.
   Web of Science ®Google Scholar
• Fan J, Zhang W. Statistical estimation in varying-coefficient models. Ann Stat. 1999;27:1491–1518.
   Web of Science ®Google Scholar
• Wang H, Xia Y. Shrinkage estimation of the varying coefficient model. J Am Stat Assoc. 2009;104:747–757.
   Web of Science ®Google Scholar
• Cai Z, Xiao Z. Semiparametric quartile regression estimation in dynamic models with partially varying coefficients. J Econom. 2012;167:413–425.
   Web of Science ®Google Scholar
• Fan J, Yao Q, Cai Z. Adaptive varying-coefficient linear models. J R Stat Soc Ser B. 2003;65:57–80.
   Google Scholar
• Lu Z, Yao Q. Adaptive varying-coefficient linear models for stochastic processes: asymptotic theory. Stat Sin. 2007;17:177–197.
   Web of Science ®Google Scholar
• Xia Y, Li W. On single-index coefficient regression models. J Am Stat Assoc. 1999;94:1275–1285.
   Web of Science ®Google Scholar
• Xue L, Wang Q. Empirical likelihood for single-index varying-coefficient models. Bernoulli. 2012;18:836–856.
   Web of Science ®Google Scholar
• Xue L, Pang Z. Statistical inference for a single-index varying-coefficient model. Stat Comput. 2013;23:589–599.
   Web of Science ®Google Scholar
• Huang Z, Zhang R. Profile empirical-likelihood inferences for the single-index-coefficient regression model. Stat Comput. 2013;23:455–465.
   Web of Science ®Google Scholar
• Xue L, Feng S. Variable selection for single-index varying-coefficient model. Front Math China. 2013;8:541–565.
   Web of Science ®Google Scholar
• Lin X, Carroll R, Nonparametric function estimation for clustered data when the predictor is measured without/with error. J Am Stat Assoc. 2000;95:520–534.
   Web of Science ®Google Scholar
• Liang H, Generalized partially linear mixed-effects models incorporating mismeasured covariates. Ann Inst Stat Math. 2009;61:27–46.
   PubMed Web of Science ®Google Scholar
• Cook J, Stefanski L. Simulation-extrapolation estimation in parametric measurement error models. J Am Stat Assoc. 1994;89:1314–1328.
   Web of Science ®Google Scholar
• Carroll R, Küchenhoff H, Lombard F, et al. Asymptotics for the SIMEX estimator in nonlinear measurement error models. J Am Stat Assoc. 1996;91:242–250.
   Web of Science ®Google Scholar
• Liang H, Härdle W, Carroll R. Estimation in a semiparametric partially linear errors-in-variables model. Ann Stat. 1999;27:1519–1535.
   Web of Science ®Google Scholar
• Liang H, Ren H. Generalized partially linear measurement error models. J Comput Graph Stat. 2005;14:237–250.
   Web of Science ®Google Scholar
• Liang H, Wang N. Partially linear single-index measurement error models. Stat Sin. 2005;15:99–116.
   Web of Science ®Google Scholar
• Huang Z, Zhao X. Statistical estimation for a partially linear single index model with errors in all variables. Commun Stat - Theory Methods. 2019;48:1136–1148.
   Web of Science ®Google Scholar
• Zhao X, Huang Z. Varying-coefficient single index measurement error model. J Appl Stat. 2018;45:2128–2144.
   Web of Science ®Google Scholar
• Shi J, Yang Q, Li X, et al. Effects of measurement error on a class of single-index varying coefficient regression model. Comput Stat. 2017;32:977–1001.
   Web of Science ®Google Scholar
• You J, Zhou Y, Chen G. Corrected local polynomial estimation in varying-coefficient models with measurement errors. Can J Stat. 2006;34:391–410.
   Web of Science ®Google Scholar
• Yang Y, Tong T, Li G. SIMEX estimation for single-index model with covariate measurement error. Adv Stat Anal. 2019;103:137–161.
   Web of Science ®Google Scholar
• Lee A, Scott A. Ultrasound in ante-natal diagnosis. In: Brook RJ, Arnold GC, Hassard TH, et al., editors. The fascination of statistics. New York: Marcel Dekker; 1986. p. 277–293.
   Google Scholar