References
- Koenker R. Quantile regression. Vol. 38. New York: Cambridge University Press; 2005.
- Jones M, Hall P. Mean squared error properties of kernel estimates or regression quantiles. Stat Probab Lett. 1990;10(4):283–289.
- Yu K, Jones M. Local linear quantile regression. J Am Stat Assoc. 1998;93(441):228–237.
- Takeuchi I, Le QV, Sears TD, et al. Nonparametric quantile estimation. J Mach Learn Res. 2006;7(45):1231–1264.
- Li Q, Racine JS. Nonparametric estimation of conditional cdf and quantile functions with mixed categorical and continuous data. J Bus Econ Stat. 2008;26(4):423–434.
- Nadaraya EA. On estimating regression. Theory Probab Appl. 1964;9(1):141–142.
- Nadaraya EA. On nonparametric estimates of density functions and regression curves. Theory Probab Appl. 1965;10(1):186–190.
- Watson GS. Smooth regression analysis. Sankhya A. 1964;26(4):359–372.
- Vitale R. A Bernstein polynomial approach to density estimation. In: Puri ML, editor. Statistical inference and related topics. New York: Academic Press; 1975. Vol. 2, p. 87–99.
- Babu GJ, Canty AJ, Chaubey YP. Application of Bernstein polynomials for smooth estimation of a distribution and density function. J Stat Plan Inference. 2002;105:377–392.
- Belalia M, Bouezmarni T, Leblanc A. Smooth conditional distribution estimators using Bernstein polynomials. Comput Stat Data Anal. 2017;111:166–182.
- Cheng C. The Bernstein polynomial estimator of a smooth quantile function. Stat Proab Lett. 1995;24(4):321–330.
- Perez JM, Palacín F. Estimating the quantile function by Bernstein polynomials. Comput Stat Data Anal. 1987;5:391–397.
- Pepelyshev A, Rafajłowicz E, Steland A. Estimation of the quantile function using Bernstein–Durrmeyer polynomials. J Nonparametr Stat. 2014;26(1):1–20.
- Harrison Jr D, Rubinfeld DL. Hedonic housing prices and the demand for clean air. J Environ Econ Manage. 1978;5(1):81–102.
- Chaudhuri P, Doksum K, Samarov A. On average derivative quantile regression. Ann Stat. 1997;25(2):715–744.
- Cai Z. Regression quantiles for time series. Econ Theory. 2002;18(1):169–192.
- Leblanc A. On estimating distribution functions using Bernstein polynomials. Ann Inst Stat Math. 2012;64:919–943.
- Li Q, Racine JS. Nonparametric econometrics: theory and practice. New Jersey: Princeton University Press; 2007.
- Tucker H. A graduate course in probability. New York: Academic Press; 1967.