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Semiparametric analysis of additive isotonic errors-in-variables regression models


  • Sun, Zhimeng
  • Zhang, Zhongzhan


We consider the estimation of a semiparametric additive isotonic regression model with error-prone covariates. We show the limiting distributions of the proposed estimators of the parametric component as well as the functional component. A simulation study is carried out to investigate the performance of the proposed estimators.

Suggested Citation

  • Sun, Zhimeng & Zhang, Zhongzhan, 2013. "Semiparametric analysis of additive isotonic errors-in-variables regression models," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 100-114.
  • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:100-114
    DOI: 10.1016/j.spl.2012.08.028

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    References listed on IDEAS

    1. Shi, Jian & Lau, Tai-Shing, 2000. "Empirical Likelihood for Partially Linear Models," Journal of Multivariate Analysis, Elsevier, vol. 72(1), pages 132-148, January.
    2. Hengjian Cui & Efang Kong, 2006. "Empirical Likelihood Confidence Region for Parameters in Semi-linear Errors-in-Variables Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 33(1), pages 153-168.
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    Cited by:

    1. Du, Jiang & Sun, Zhimeng & Xie, Tianfa, 2013. "M-estimation for the partially linear regression model under monotonic constraints," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1353-1363.


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