An asymptotic expansion is obtained for the distribution function of the standardized mean of a sample of $s$ observations taken randomly without replacement from a finite population of $n$ numbers. The expansion is given to order $1/n$ and agrees with the formal Edgeworth expansion. The proof of the result is obtained using an approximation to the characteristic function of the standardized sum.
Publié le : 1978-09-14
Classification:
Asymptotic expansions,
Edgeworth series,
sampling without replacement,
permutation tests,
60F05,
62E20
@article{1176344306,
author = {Robinson, J.},
title = {An Asymptotic Expansion for Samples from a Finite Population},
journal = {Ann. Statist.},
volume = {6},
number = {1},
year = {1978},
pages = { 1005-1011},
language = {en},
url = {http://dml.mathdoc.fr/item/1176344306}
}
Robinson, J. An Asymptotic Expansion for Samples from a Finite Population. Ann. Statist., Tome 6 (1978) no. 1, pp. 1005-1011. http://gdmltest.u-ga.fr/item/1176344306/