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Theory and Methods

A Mallows-Type Model Averaging Estimator for the Varying-Coefficient Partially Linear Model

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Pages 882-892 | Received 01 Jan 2017, Published online: 06 Aug 2018

References

  • Ahmad, I., Leelahanon, S., and Li, Q. (2005), “Efficient Estimation of a Semiparametric Partially Linear Varying Coefficient Model,” Annals of Statistics, 33, 258–283.
  • Ando, T., and Li, K.-C. (2014), “A Model-Averaging Approach for High-Dimensional Regression,” Journal of the American Statistical Association, 109, 254–265.
  • Andrews, D. W. K. (1991), “Asymptotic Optimality of Generalized CL, Cross-Validation, and Generalized Cross-Validation in Regression with Heteroskedastic Errors,” Journal of Econometrics, 47, 359–377.
  • Box, G. (1976), “Science and Statistics,” Journal of the American Statistical Association, 71, 791–799.
  • Box, G., and Draper, N. (1987), Empirical Model Building and Response Surfaces, New York: Wiley.
  • Buckland, S. T., Burnham, K. P., and Augustin, N. H. (1997), “Model Selection: An Integral Part of Inference,” Biometrics, 53, 603–618.
  • Cleveland, W. S., Grosse, E., and Shyu, W. M. (1991), Local Regression Models, Pacific Grove, CA: Wadsworth and Brooks/Cole.
  • Diebold, F. X., and Mariano, R. S. (1995), “Comparing Predictive Accuracy,” Journal of Business & Economic Statistics, 13, 253–263.
  • Engle, R. F., Granger, C. W. J., Rice, J., and Weiss, A. (1986), “Semiparametric Estimates of the Relation Between Weather and Electricity Sales,” Journal of the American Statistical Association, 81, 310–320.
  • Fan, J., and Huang, T. (2005), “Profile Likelihood Inferences on Semiparametric Varying-Coefficient Partially Linear Models,” Bernoulli, 11, 1031–1057.
  • Fan, J., and Jiang, J. (2007), “Nonparametric Inference with Generalized Likelihood Ratio Tests,” Test, 16, 409–444.
  • Fan, J., Lin, H., and Zhou, Y. (2006), “Local Partial-Likelihood Estimation for Lifetime Data,” Annals of Statistics, 34, 290–325.
  • Fan, J., Zhang, C., and Zhang, J. (2001), “Generalized Likelihood Ratio Statistics and Wilks Phenomenon,” Annals of Statistics, 29, 153–193.
  • Hansen, B. E. (2007), “Least Squares Model Averaging,” Econometrica, 75, 1175–1189.
  • Hansen, B. E., and Racine, J. S. (2012), “Jackknife Model Averaging,” Journal of Econometrics, 167, 38–46.
  • Härdle, W., Liang, H., and Gao, J. (2000), Partially Linear Models, Heidelberg: Physica-Verlag.
  • Hastie, T., and Tibshirani, R. (1993), “Varying-Coefficient Models,” Journal of the Royal Statistical Society, Series B, 55, 757–796.
  • Hjort, N. L., and Claeskens, G. (2003), “Frequentist Model Average Estimators,” Journal of the American Statistical Association, 98, 879–899.
  • ——— (2006), “Focused Information Criteria and Model Averaging for the Cox’s Hazard Regression Model,” Journal of the American Statistical Association, 101, 1449–1464.
  • Lam, C., and Fan, J. (2008), “Profile-Kernel Likelihood Inference with Diverging Number of Parameters,” Annals of Statistics, 36, 2232–2260.
  • Li, Q., Huang, C. J., Li, D., and Fu, T. T. (2002), “Semiparametric Smooth Coefficient Models,” Journal of Business & Economic Statistics, 20, 412–422.
  • Li, R., and Liang, H. (2008), “Variable Selection in Semiparametric Regression Modeling,” Annals of Statistics, 36, 261–286.
  • Liang, H., Zou, G., Wan, A. T. K., and Zhang, X. (2011), “Optimal Weight Choice for Frequentist Model Average Estimators,” Journal of the American Statistical Association, 106, 1053–1066.
  • Liu, Q., and Okui, R. (2013), “Heteroskedasticity-Robust Cp Model Averaging,” Econometrics Journal, 16, 463–472.
  • Lu, X., and Su, L. (2015), “Jackknife Model Averaging for Quantile Regressions,” Journal of Econometrics, 188, 40–58.
  • Morris, C. N., Norton, E. C., and Zhou, X. H. (1994), “Parametric Duration Analysis of Nursing Home Usage,” in Case Studies in Biometry, eds. N. Lange, L. Ryan, L. Billard, D. Brillinger, L. Conquest, J. Greenhouse, pp. 231–248, New York: Wiley.
  • Speckman, P. (1988), “Kernel Smoothing in Partial Linear Models,” Journal of the Royal Statistical Society, Series B, 50, 413–436.
  • Wan, A. T. K., Zhang, X., and Zou, G. (2010), “Least Squares Model Averaging by Mallows Criterion,” Journal of Econometrics, 156, 277–283.
  • Wang, H., Zou, G., and Wan, A. T. K. (2012), “Model Averaging for Varying-Coefficient Partially Linear Measurement Error Models,” Electronic Journal of Statistics, 6, 1017–1039.
  • Wang, H. J., Zhu, Z., and Zhou, J. (2009), “Quantile Regression in Partially Linear Varying Coefficient Models,” Annals of Statistics, 37, 3841–3866.
  • Whittle, P. (1960), “Bounds for the Moments of Linear and Quadratic Forms in Independent Variables,” Theory of Probability & its Applications, 5, 331–335.
  • Xia, Y., Zhang, W., and Tong, H. (2004), “Efficient Estimation for Semivarying-Coefficient Models,” Biometrika, 91, 661–681.
  • Xie, S., Wan, A. T. K., and Zhou, Y. (2015), “Quantile Regression Methods with Varying-Coefficient Models for Censored Data,” Computational Statistics & Data Analysis, 88, 154–172.
  • You, J., and Chen, G. (2006), “Estimation of a Semiparametric Varying-Coefficient Partially Linear Errors-in-Variables Model,” Journal of Multivariate Analysis, 97, 324–341.
  • Yuan, Z., and Yang, Y. (2005), “Combining Linear Regression Models: When and How?” Journal of the American Statistical Association, 100, 1202–1214.
  • Zhang, W., Lee, S. Y., and Song, X. (2002), “Local Polynomial Fitting in Semivarying Coefficient Model,” Journal of Multivariate Analysis, 82, 166–188.
  • Zhang, X., Wan, A. T. K., and Zhou, S. Z. (2012), “Focused Information Criteria, Model Selection, and Model Averaging in a Tobit Model with a Nonzero Threshold,” Journal of Business & Economic Statistics, 30, 132–142.
  • Zhang, X., and Wang, W. (2018), “Optimal Model Averaging Estimation for Partially Linear Models,” Statistica Sinica, preprint.
  • Zhao, P., and Xue, L. (2010), “Variable Selection for Semiparametric Varying Coefficient Partially Linear Errors-in-Variables Models,” Journal of Multivariate Analysis, 101, 1872–1883.

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