Skip to main content
Log in

The asymptotic representation of the Hodges-Lehmann estimator based on Wilcoxon two-sample statistic

  • Published:
Annals of the Institute of Statistical Mathematics 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. Bahadur, R. R. (1966). A note on quantiles in large samples,Ann. Math. Statist.,37, 577–580.

    MATH  MathSciNet  Google Scholar 

  2. Geertsema, J. C. (1970). Sequential confidence intervals based on rank tests,Ann. Math. Statist.,41, 1016–1026.

    MATH  MathSciNet  Google Scholar 

  3. Hodges, J. L., Jr. and Lehmann, E. L. (1963). Estimates of location based on rank tests,Ann. Math. Statist.,34, 598–611.

    MATH  MathSciNet  Google Scholar 

  4. Huber, P. J. (1967). The behavior of maximum likelihood estimators under nonstandard conditions,Proc. Fifth Berkeley Symp. Math. Statist. Prob.,1, 221–233.

    MATH  MathSciNet  Google Scholar 

  5. Inagaki, N. (1973). Asymptotic relations between the likelihood estimating function and the maximum likelihood estimator,Ann. Inst. Statist. Math.,25, 1–26.

    MATH  MathSciNet  Google Scholar 

  6. Kiefer, J. (1967). On Bahadur's representation of sample quantiles,Ann. Math. Statist.,38, 1323–1342.

    MATH  MathSciNet  Google Scholar 

  7. Kiefer, J. (1970). Deviations between the sample quantilé process and the sample df,Nonparametric Techniques in Statistical Inference (Ed: M. L. Puri), Cambridge Univ. Press, N. Y., 299–320.

    Google Scholar 

  8. Loeve, M. (1963).Probability Theory, Von Nostrand, Princeton.

    Google Scholar 

  9. Okamoto, M. (1955). A relation between order statistics and the sample cumulative distribution function, (in Japanese),Seminar Reports Osaka Statistical Association,1, 18–19.

    Google Scholar 

  10. Sen, P. K. (1972). On the Bahadur representation of sample quantiles for sequences of ϕ-mixing random variables,J. Multi-variate Analysis,2, 77–95.

    Article  MATH  Google Scholar 

  11. Uspensky, J. V. (1937).Introduction to Mathematical Probability, McGraw-Hill, N.Y.

    MATH  Google Scholar 

  12. Van Eeden, C. (1968).Nonparametric Estimation, Les Presses de l'Universite de Montreal.

Download references

Authors

Additional information

The Institute of Statistical Mathematics

About this article

Cite this article

Inagaki, N. The asymptotic representation of the Hodges-Lehmann estimator based on Wilcoxon two-sample statistic. Ann Inst Stat Math 25, 457–466 (1973). https://doi.org/10.1007/BF02479391

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02479391

Keywords

Navigation