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INFERENCE

Empirical Likelihood Confidence Region for the Parameter in a Partially Linear Errors-in-Variables Model

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Pages 1552-1564 | Received 21 Apr 2006, Accepted 12 Oct 2007, Published online: 26 Mar 2008

References

  • Chen , S. X. , Cui , H. J. ( 2003 ). An extended empirical likelihood for generalized linear models . Statist. Sinica 13 ( 1 ): 69 – 81 .
  • Chiou , J. M. , Müller , H. G. ( 1999 ). Nonparametric quasi-likelihood . Ann. Statist. 27 ( 1 ): 36 – 64 .
  • Cui , H. J. , Chen , S. X. ( 2003 ). Empirical likelihood confidence region for parameter in the errors-in-variables models . J. Multivariate Anal. 84 ( 1 ): 101 – 115 .
  • Fan , J. ( 1993 ). Local linear regression smoothers and their minimax efficiencies . Ann. Statist. 21 ( 1 ): 196 – 216 .
  • Fan , J. , Gijbels , I. ( 1996 ). Local Polynomial Modeling and Its Applications . London : Chapman and Hall .
  • Fuller , W. A. ( 1987 ). Measurement Error Models . New York : Wiley .
  • Kolaczyk , E. D. ( 1994 ). Empirical likelihood for generalized linear models . Statist. Sinica 4 : 199 – 218 .
  • Liang , H. ( 2000 ). Asymptotic normality of parametric part in partially linear models with measurement error in the nonparametric part . J. Statist. Plan. Infer. 86 : 51 – 62 .
  • Liang , H. , Härdle , W. , Carroll , R. J. ( 1999 ). Estimation in a semiparametric partially linear errors-in-variables model . Ann. Statist. 27 : 1519 – 1535 .
  • Owen , A. B. ( 1988 ). Empirical likelihood ratio confidence intervals for a single functional . Biometrika 75 : 237 – 249 .
  • Owen , A. B. ( 1991 ). Empirical likelihood for linear models . Ann. Statist. 19 ( 4 ): 1725 – 1747 .
  • Owen , A. B. ( 2001 ). Empirical Likelihood . New York : Chapman and Hall .
  • Qin , Y. S. ( 1999 ). Empirical likelihood ratio confidence regions in a partly linear model . Chin. J. Appl. Probab. Statist. 15 ( 4 ): 363 – 369 .
  • Shi , J. , Lau , T. S. ( 2000 ). Empirical likelihood for partially linear models . J. Multivariate Anal. 72 ( 1 ): 132 – 148 .
  • Stute , W. , Xue , L. G. , Zhu , L. X. ( 2007 ). Empirical likelihood inference in nonlinear errors-in-variables models with validation data . J. Amer. Statist. Assoc. 102 : 332 – 346 .
  • Wang , Q. H. ( 1999 ). Estimation of partial linear errors-in-variables models with validation data . J. Multivariate Anal. 69 : 30 – 64 .
  • Wang , Q. H. , Jing , B. Y. ( 1999 ). Empirical likelihood for partially linear models with fixed design . Statist. Probab. Lett. 41 ( 4 ): 425 – 433 .
  • Wang , Q. H. , Zhu , L. X. ( 2001 ). Estimation in partly linear errors-in-variable models with censored data . Commun. Statist. Theor. Meth. 30 : 41 – 54 .
  • Xue , L. G. , Zhu , L. X. ( 2005 ). Empirical likelihood confidence regions of the parameters in a partially linear single-index model . Sci. China Ser. A 48 ( 10 ): 1333 – 1348 .
  • Xue , L. G. , Zhu , L. X. ( 2007 ). Empirical likelihood for a varying coefficient model with longitudinal data . J. Amer. Statist. Assoc. 102 : 642 – 654 .
  • Zhu , L. X. , Cui , H. J. ( 2003 ). Semiparametric regression model with errors in variables . Scan. J. Statist. 30 : 429 – 442 .
  • Zhu , L. X. , Xue , L. G. ( 2006 ). Empirical likelihood confidence regions in a partially linear single-index model . J. R. Statist. Soc. B 68 : 549 – 570 .

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