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Research Article

Constrained quantile regression and heteroskedasticity

Pages 344-356 | Received 06 Oct 2020, Accepted 02 Mar 2022, Published online: 26 Mar 2022

References

  • Bofinger, E. (1975), ‘Estimation of a Density Function Using Order Statistics’, Australian Journal of Statistics, 17, 192–195.
  • Bondell, H.D., Reich, B.J., and Wang, X. (2010), ‘Noncrossing Quantile Regression Curve Estimation’, Biometrika, 97, 825–838.
  • Buchinsky, M. (1998), ‘Recent Advances in Quantile Regression Models: A Practical Guideline for Empirical Research’, Journal of Human Resources, 33, 88–126.
  • Carroll, R.J., and Ruppert, D. (1988), Transformation and Weighting in Regression, London: Chapman &Hall.
  • Davino, C., Furno, M., and Vistocco, D. (2013), Quantile Regression: Theory and Applications, New York: Wiley.
  • Furno, M., and Vistocco, D. (2018), Quantile Regression: Estimation and Simulation, Wiley Series in Probability and Statistics.
  • Hall, P., and Sheather, S.J. (1988), ‘On the Distribution of a Studentized Quantile’, Journal of the Royal Statistical Society. Series B, 50, 381–391.
  • Huang, M.L., Xu, X., and Tashnev, D. (2015), ‘A Weighted Linear Quantile Regression’, Journal of Statistical Computation and Simulation, 85, 2596–2618.
  • Iriarte-Díaz, J. (2002), ‘Differential Scaling of Locomotor Performance in Small and Large Terrestrial Mammals’, The Journal of Experimental Biology, 205, 2897–2908.
  • Jung, Y., Lee, Y., and MacEachern, S.N. (2015), ‘Efficient Quantile Regression for Heteroscedastic Models’, Journal of Statistical Computation and Simulation, 85, 2548–2568.
  • Koenker, R. (2005), Quantile Regression, Cambridge University Press.
  • Koenker, R. (2021), Quantreg: Quantile Regression R package. Available at http://CRAN.R-project.org/package=quantreg.
  • Koenker, R., and Bassett, G. (1982), ‘Robust Tests for Heteroscedasticity Based on Regression Quantiles’, Econometrica, 50, 43–61.
  • Koenker, R., and Geling, O. (2001), ‘Reappraising Medfly Longevity: A Quantile Regression Survival Analysis’, Journal of the American Statistical Association, 96, 458–468.
  • Koenker, R., and Machado, J.A.F. (1999), ‘Goodness of Fit and Related Inference Processes for Quantile Regression’, Journal of the American Statistical Association, 94, 1296–1310.
  • Machado, J.A.F., and Santos Silva, J.M.C. (2000), ‘Glejser's Test Revisited’, Journal of Econometrics, 97, 189–202.
  • Rothenberg, T.J. (1973), Efficient Estimation with a Priori Information, New Haven: Yale University Press.
  • Siddiqui, M.M. (1960), ‘Distribution of Quantiles in Samples From a Bivariate Population’, Journal of Research of the National Bureau of Standards, Section B, 64, 145–150.
  • Wu, Y., and Liu, Y. (2009), ‘Stepwise Multiple Quantile Regression Estimation Using Non-crossing Constraints’, Statistics and Its Interface, 2, 299–310.
  • Zhao, Q. (2000), ‘Restricted Regression Quantiles’, Journal of Multivariate Analysis, 72, 78–99.
  • Zou, K.Q., and Portnoy, S.L. (1998), ‘Statistical Inference on Heteroscedastic Models Based on Regression Quantiles’, Journal of Nonparametric Statistics, 9, 239–260.

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