Skip to main content
Log in

A note on the degree of normal approximation to the distribution function of the mean of samples from finite populations

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Summary

From the standpoint of asymptotic equivalence, a sufficient condition is obtained, under which the degree of normal approximation to the distribution function of the mean of samples from finite populations can be ascertained.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. W. G. Madow, “On the limiting distributions of estimates based on samples from finite universes,”Ann. Math. Stat., 14 (1948), 535–545.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. Ikeda, “Asymptotic equivalence of probability distributions with applications to some problems of asymptotic independence,”Ann. Inst. Stat. Math., 15 (1963), 87–116.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. C. Berrey, “The accuracy of the Gaussian approximation to the sum of independent variates,”Trans. Amer. Math. Soc., 49 (1941), 122–131.

    Article  MathSciNet  Google Scholar 

  4. K. Takano, “A note on the paper of A. C. Berry,”Res. Memoir of Inst. Stat. Math., 6 (1950), 408–415.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Taga, Y. A note on the degree of normal approximation to the distribution function of the mean of samples from finite populations. Ann Inst Stat Math 16, 427–430 (1964). https://doi.org/10.1007/BF02868584

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02868584

Keywords

Navigation