Empirical Likelihood for Semiparametric Varying-Coefficient Heteroscedastic Partially Linear Errors-in-Variables Models

References

• Baltagi , B. H. ( 1995 ). Econometric Analysis of Panel Data . New York : Wiley .
   Google Scholar
• Carroll , R. J. ( 1982 ). Adapting for heteroscedasticity in linear models . Ann. Statist. 10 : 1224 – 1232 .
   Web of Science ®Google Scholar
• Chen , H. ( 1988 ). Convergence rates for parametric components in a partial linear model . Ann. Statist. 16 : 136 – 146 .
   Web of Science ®Google Scholar
• Chen , L. H. , Cheng , M. Y. , Peng , L. ( 2009 ). Conditional variance estimation in heteroscedastic regression models . J. Statist. Plann. Inference. 139 : 236 – 245 .
   Web of Science ®Google Scholar
• Chiou , J. M. , Müller , H. G. ( 1999 ). Nonparametric quasi-likelihood . Ann. Statist. 27 ( 1 ): 36 – 64 .
   Web of Science ®Google Scholar
• Cui , H. , Kong , E. ( 2006 ). Empirical likelihood confidence region for parameters in semi-linear errors-in-variables models . Scand. J. Statist. 33 : 153 – 168 .
   Web of Science ®Google Scholar
• Cui , H. , Li , R. ( 1998 ). On parameter estimation for semi-linear errors-in-variables models . J. Multivariate Anal. 64 : 1 – 24 .
   Web of Science ®Google Scholar
• Engle , R. , Granger , C. , Rice , J. , Weiss , A. (1986). Nonparametric estimates of the relation between weather and electricity sales. J. Amer. Statist. Assoc. 81:310–320.
   Web of Science ®Google Scholar
• Fan , G. L. , Liang , H. Y. ( 2010 ). Empirical likelihood inference for semiparametric model with linear process errors . J. Kor. Statist. Soc. 39 : 55 – 65 .
   Web of Science ®Google Scholar
• Fan , G. L. , Liang , H. Y. , Xu , H. X. ( 2011 ). Empirical likelihood for a heteroscedastic partial linear model . Commun. Statist. Theor. Meth. 40 : 1396 – 1417 .
   Web of Science ®Google Scholar
• Fan , J. , Huang , T. ( 2005 ). Profile likelihood inferences on semiparametric varying-coefficient partially linear models . Bernoulli. 11 ( 6 ): 1031 – 1057 .
   Web of Science ®Google Scholar
• Härdle , W. , Liang , H. , Gao , J. ( 2000 ). Partially Linear Models . Heidelberg : Physica-Verlag .
   Google Scholar
• Huang , Z. S. , Zhang , R. Q. ( 2009 ). Empirical likelihood for nonparametric parts in semiparametric varying-coefficient partially linear models . Statist. Probab. Lett. 79 : 1798 – 1808 .
   Web of Science ®Google Scholar
• Li , G. R. , Xue , L. G. ( 2008 ). Empirical likelihood confidence region for the parameter in a partially linear errors-in-variables model . Commun. Statist. Theor. Meth. 37 : 1552 – 1564 .
   Web of Science ®Google Scholar
• Li , Q. , Huang , C. J. , Li , D. , Fu , T. T. ( 2002 ). Semiparametric smooth coefficient models . J. Bus. Econom. Statist. 20 : 412 – 422 .
   Web of Science ®Google Scholar
• Liang , H. , Harder W., Carroll , R. J. ( 1999 ). Estimation in a semiparametric partially linear errors-in-variables model . Ann. Statist. 27 : 1519 – 1535 .
   Web of Science ®Google Scholar
• Liang , H. , Wang , S. , Carroll , R. J. ( 2007 ). Partially linear models with missing response variables and error-prone covariates . Biometrika 94 : 185 – 198 .
   PubMed Web of Science ®Google Scholar
• Liang , H. Y. , Fan , G. L. ( 2009 ). Berry-Esseen type bounds of estimators in a semiparametric model with linear process errors . J. Multivariate Anal. 100 : 1 – 15 .
   Web of Science ®Google Scholar
• Owen , A. B. ( 1988 ). Empirical likelihood ratio confidence intervals for a single functional . Biometrika 75 : 237 – 249 .
   Web of Science ®Google Scholar
• Owen , A. B. ( 1990 ). Empirical likelihood ratio confidence regions . Ann. Statist. 18 : 90 – 120 .
   Web of Science ®Google Scholar
• Shi , J. , Lau , T. S. ( 2000 ). Empirical likelihood for partially linear models . J. Multivariate Anal. 72 : 132 – 148 .
   Web of Science ®Google Scholar
• Speckman , P. ( 1988 ). Kernel smoothing in partial linear models . J. Roy. Statist. Soc. B 50 : 413 – 436 .
   Google Scholar
• Wang , Q. H. , Jing , B. Y. ( 1999 ). Empirical likelihood for partial linear models with fixed designs . Statist. Probab. Lett. 41 : 425 – 433 .
   Web of Science ®Google Scholar
• Wang , Q. H. , Jing , B. Y. ( 2003 ). Empirical likelihood for partial linear models . Ann. Inst. Statist. Math. 55 : 585 – 595 .
   Web of Science ®Google Scholar
• Wang , X. , Li , G. , Lin , L. ( 2011 ). Empirical likelihood inference for semi-parametric varying-coefficient partially linear EV models . Metrika 73 : 171 – 185 .
   Web of Science ®Google Scholar
• Xiao , Z. , Linton , O. B. , Carroll , R. J. , Mammen , E. ( 2003 ). More efficient local polynomial estimation in nonparametric regression with autocorrelated errors . J. Amer. Statist. Assoc. 98 : 980 – 992 .
   Web of Science ®Google Scholar
• You , J. H. , Chen , G. M. ( 2005 ). Testing heteroscedasticity in partially linear regression models . Statist. Probab. Lett. 73 : 61 – 70 .
   Web of Science ®Google Scholar
• You , J. H. , Chen , G. M. ( 2006 ). Estimation of a semiparametric varying-coefficient partially linear errors-in-variables model . J. Multivariate Anal. 97 : 324 – 341 .
   Web of Science ®Google Scholar
• You , J. H. , Chen , G. M. , Zhou , Y. ( 2007 ). Statistical inference of partially linear regression models with heteroscedastic errors . J. Multivariate Anal. 98 : 1539 – 1557 .
   Web of Science ®Google Scholar
• You , J. H. , Zhou , Y. ( 2006 ). Empirical likeliood for semiparametric varying-coefficient partially linear regression models . Statist. Probab. Lett. 76 : 412 – 422 .
   Web of Science ®Google Scholar
• Zhang , W. , Lee , S. Y. , Song , X. ( 2002 ). Local polynomial fitting in semivarying coefficient models . J. Multivariate Anal. 82 : 166 – 188 .
   Web of Science ®Google Scholar