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Articles

Decomposition and reproducing property of local polynomial equivalent kernels in varying coefficient models

, &
Pages 357-372 | Received 29 Jun 2022, Accepted 15 May 2023, Published online: 30 May 2023

References

  • Chiang, C.-T., Rice, J.A., and Wu, C.O. (2001), ‘Smoothing Spline Estimation for Varying Coefficient Models with Repeatedly Measured Dependent Variables’, Journal of the American Statistical Association, 96, 605–619.
  • Fan, J., and Gijbels, I. (1996), Local Polynomial Modelling and Its Applications, London: Chapman & Hall.
  • Fan, J., and Zhang, W. (1999), ‘Statistical Estimation in Varying Coefficient Models’, Annals of Statistics, 27, 1491–1518.
  • Fan, J., and Zhang, W. (2008), ‘Statistical Methods with Varying Coefficient Models’, Statistics and its Interface, 1, 179–195.
  • Gasser, T., Müller, H.-G., and Mammitzsch, V. (1985), ‘Kernels for Nonparametric Curve Estimation’, Journal of the Royal Statistical Society: Series B Statistical Methodology, 47, 238–252.
  • Hastie, T.J., and Tibshirani, R.J. (1993), ‘Varying-Coefficient Models’, Journal of the Royal Statistical Society: Series B Statistical Methodology, 55, 757–796.
  • Park, B.U., Mammen, E., Lee, Y.K., and Lee, E.R. (2015), ‘Varying Coefficient Regression Models: a Review and New Developments’, International Statistical Review, 83, 36–64.
  • Petersen, A., and Müller, H.-G. (2019), ‘Fréchet Regression for Random Objects with Euclidean Predictors’, Annals of Statistics, 47, 691–719.
  • Ruppert, D., Wand, M.P., and Carroll, R.J. (2003), Semiparametric Regression, London: Cambridge University Press.
  • Tsybakov, A.B. (2009), Introduction to Nonparametric Estimation, New York: Springer-Verlag.
  • Zhang, W., and Lee, S.Y. (2000), ‘Variable Bandwidth Selection in Varying-Coefficient Models’, Journal of Multivariate Analysis, 74, 116–134.