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Nonparametric Prediction in Measurement Error Models

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  • Carroll, Raymond J.
  • Delaigle, Aurore
  • Hall, Peter

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  • Carroll, Raymond J. & Delaigle, Aurore & Hall, Peter, 2009. "Nonparametric Prediction in Measurement Error Models," Journal of the American Statistical Association, American Statistical Association, vol. 104(487), pages 993-1003.
    • Handle: RePEc:bes:jnlasa:v:104:i:487:y:2009:p:993-1003
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    References listed on IDEAS

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    1. Linton, Oliver & Whang, Yoon-Jae, 2002. "Nonparametric Estimation With Aggregated Data," Econometric Theory, Cambridge University Press, vol. 18(2), pages 420-468, April.
    2. Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, January.
    3. Xianzheng Huang & Leonard A. Stefanski & Marie Davidian, 2006. "Latent-model robustness in structural measurement error models," Biometrika, Biometrika Trust, vol. 93(1), pages 53-64, March.
    4. Yingyao Hu & Susanne M. Schennach, 2008. "Instrumental Variable Treatment of Nonclassical Measurement Error Models," Econometrica, Econometric Society, vol. 76(1), pages 195-216, January.
    5. Schennach, Susanne M., 2004. "Nonparametric Regression In The Presence Of Measurement Error," Econometric Theory, Cambridge University Press, vol. 20(6), pages 1046-1093, December.
    6. Berry S. M. & Carroll R. J & Ruppert D., 2002. "Bayesian Smoothing and Regression Splines for Measurement Error Problems," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 160-169, March.
    7. Delaigle, Aurore & Meister, Alexander, 2007. "Nonparametric Regression Estimation in the Heteroscedastic Errors-in-Variables Problem," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1416-1426, December.
    8. Devanarayan, Viswanath & Stefanski, Leonard A., 2002. "Empirical simulation extrapolation for measurement error models with replicate measurements," Statistics & Probability Letters, Elsevier, vol. 59(3), pages 219-225, October.
    9. Li, Tong & Vuong, Quang, 1998. "Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 139-165, May.
    10. Markus Thamerus, 2003. "Fitting a Mixture Distribution to a Variable Subject to Heteroscedastie Measurement Errors," Computational Statistics, Springer, vol. 18(1), pages 1-17, March.
    11. John Staudenmayer & David Ruppert, 2004. "Local polynomial regression and simulation–extrapolation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 17-30, February.
    12. Delaigle, Aurore & Fan, Jianqing & Carroll, Raymond J., 2009. "A Design-Adaptive Local Polynomial Estimator for the Errors-in-Variables Problem," Journal of the American Statistical Association, American Statistical Association, vol. 104(485), pages 348-359.
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    1. repec:jss:jstsof:39:i10 is not listed on IDEAS
    2. Sun, Zhihua & Ye, Xue & Sun, Liuquan, 2015. "Consistent test of error-in-variables partially linear model with auxiliary variables," Journal of Multivariate Analysis, Elsevier, vol. 141(C), pages 118-131.
    3. Jingxuan Luo & Lili Yue & Gaorong Li, 2023. "Overview of High-Dimensional Measurement Error Regression Models," Mathematics, MDPI, vol. 11(14), pages 1-22, July.
    4. Cheng Zheng & Yingye Zheng, 2019. "Calibrating Variations in Biomarker Measures for Improving Prediction with Time-to-event Outcomes," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 11(3), pages 477-503, December.
    5. Song, Weixing, 2010. "Moderate deviations for deconvolution kernel density estimators with ordinary smooth measurement errors," Statistics & Probability Letters, Elsevier, vol. 80(3-4), pages 169-176, February.
    6. Mynbaev, Kairat & Martins-Filho, Carlos, 2015. "Consistency and asymptotic normality for a nonparametric prediction under measurement errors," Journal of Multivariate Analysis, Elsevier, vol. 139(C), pages 166-188.
    7. Cao Xuan Phuong & Le Thi Hong Thuy & Vo Nguyen Tuyet Doan, 2022. "Nonparametric estimation of cumulative distribution function from noisy data in the presence of Berkson and classical errors," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(3), pages 289-322, April.

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