Skip to main content
Log in

The asymptotic normality of linear functions of conditional order statistics

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Stone, C., Consistent nonparametric regression,Ann. Statist.,5(1977), 595–620.

    MATH  MathSciNet  Google Scholar 

  2. Devroye, Luc.P. and Wagner, T.J., Distribution-free consistency results in nonparametric discrimination and regression finction estimation,Ann. Statist.,8(1980), 231–239.

    MATH  MathSciNet  Google Scholar 

  3. Devroye, Luc., On the almost everywhere convergence of nonpametric regression estimates,Ann. Statist.,9(1981), 1310–1319.

    MATH  MathSciNet  Google Scholar 

  4. Zheng Zhongguo Asymptotic property of the nearest neighbor estimators of conditional medium. (Submitted to Acta Mathematica Sinica) (in Chinese).

  5. Sun Dongchu, The asymptotic normality for nearest neighbor estimators of conditional quantile and density (Submitted to Acta Mathematica Sinica in Engineering) (in Chinese).

  6. Tukey, J.W., Asurveg of samoling from contaminated distributions, in: Contributions to Probability and Statistics, I. Olrin. Ed. Stanford CA:Stanford Univ. Press (1960).

    Google Scholar 

  7. Billingsley, P., Convergence of Probability Measures,Wiley, New York (1968).

    MATH  Google Scholar 

  8. Chow, Yuan-Shih. and Henry Teicher, Probability Theory: independence interchangeability, martingales.Springer-Verlag New York Inc., 1978.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dongehu, S. The asymptotic normality of linear functions of conditional order statistics. Acta Mathematica Sinica 2, 33–56 (1986). https://doi.org/10.1007/BF02568522

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02568522

Keywords

Navigation