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Original Articles

Local linear double and asymmetric kernel estimation of conditional quantiles

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Pages 3473-3488 | Received 15 May 2013, Accepted 27 Jan 2014, Published online: 04 May 2016

References

  • Abberger, K. (1998). Cross-validation in nonparametric quantile regression. Allgemeines Statistisches Archiv 82:149–161.
  • Brown, B.M., Chen, S.X. (1999). Beta-Bernstein smoothing for regression curves with compact supports. Scand. J. Stat. 26:47–59.
  • Cai, Z. (2002). Regression quantiles for time series data. Econom. Theory 18:169–192.
  • Cai, Z., Wang, X. (2008). Nonparametric methods for estimating conditional VaR and expected shortfall. J. Econom. 147:120–1300.
  • Chen, S.X. (1999). A Beta kernel estimator for density functions with compact supports. Comput. Stat. Data Anal. J. 31:131–145.
  • Chen, S.X. (2000a). Beta kernel smoother for regression curves. Stat. Sin. 10:73–91.
  • Chen, S.X. (2000b). Probability density function estimation using Gamma kernels. Ann. Inst. Stat. Math. 52:471–480.
  • Chen, S.X. (2002). Local linear smoother using asymmetric kernels. Ann. Inst. Stat. Math. 54:312–323.
  • Fan, J.Q. (1993). Local linear regression smoothers and their minimax efficiencies. Ann. Stat. 21:196–216.
  • Fan, J., Hu, T.-C., Troung, Y.K. (1994). Robust non-parametric function estimation. Scand. J. Stat. 21:433–446.
  • Fan, J., Gijbels, I. (1996). Local Polynomial Modeling and Its Applications. London, UK: Chapman and Hall.
  • Fan, J., Yao, Q., Tong, H. (1996). Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems. Biometrika 83:189–206.
  • Fan, J., Gasser, T., Gijbels, I., Brockmann, M., Engel, J. (1997). Local polynomial regression: Optimal kernels and asymptotic minimax efficiency. Ann. Inst. Stat. Math. 49:79–99.
  • Fan, J., Yao, Q. (2003). Nonlinear Time Series: Nonparametric and Parametric Methods. New York: Springer.
  • Goh, S.C. (2012). Design-adaptive nonparametric estimation of conditional quantile derivatives. Journal of Nonparam. Stat. 24:597–612.
  • Koenker, R., Basset, G. (1978). Regression quantile. Econometrica 46:33–50.
  • Samanta, M. (1989). Non-parametric estimation of conditional quantiles. Stat. Probab. Lett. 7:407–412.
  • Seifert, B., Gasser, Th. (1996a). Finite sample variance of local polynomials: Analysis and solutions. J. Am. Stat. Assoc. 91:267–275.
  • Seifert, B., Gasser, Th. (1996b). Variance properties of local polynomials and ensuing modifications. In: Hardle, W., Schimek, M.G., eds. Statistical Theory and Computational Aspects of Smoothing (pp. 5–79). Heidelberg, Germany: Physica-Verlag.
  • Yu, K., Jones, M.C. (1998). Local linear quantile regression. J. Am. Stat. Assoc. 93:228–237.

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