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.
Similar content being viewed by others
References
W. G. Madow, “On the limiting distributions of estimates based on samples from finite universes,”Ann. Math. Stat., 14 (1948), 535–545.
S. Ikeda, “Asymptotic equivalence of probability distributions with applications to some problems of asymptotic independence,”Ann. Inst. Stat. Math., 15 (1963), 87–116.
A. C. Berrey, “The accuracy of the Gaussian approximation to the sum of independent variates,”Trans. Amer. Math. Soc., 49 (1941), 122–131.
K. Takano, “A note on the paper of A. C. Berry,”Res. Memoir of Inst. Stat. Math., 6 (1950), 408–415.
Author information
Authors and Affiliations
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
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02868584