The vague statement that "sampling with and without replacement from a finite population are approximately equivalent when the sampling fraction is small" is given a precise meaning in terms of limit theorems for distributions in $R^\infty$ and $D\lbrack 0, \infty)$.
Publié le : 1974-07-14
Classification:
Sampling from finite populations,
drawing with and without replacement,
convergence in distribution,
62D05,
60F05
@article{1176342770,
author = {Kallenberg, Olav},
title = {A Note on the Asymptotic Equivalence of Sampling with and Without Replacement},
journal = {Ann. Statist.},
volume = {2},
number = {1},
year = {1974},
pages = { 819-821},
language = {en},
url = {http://dml.mathdoc.fr/item/1176342770}
}
Kallenberg, Olav. A Note on the Asymptotic Equivalence of Sampling with and Without Replacement. Ann. Statist., Tome 2 (1974) no. 1, pp. 819-821. http://gdmltest.u-ga.fr/item/1176342770/