Open Access
Translator Disclaimer
July, 1974 A Note on the Asymptotic Equivalence of Sampling with and Without Replacement
Olav Kallenberg
Ann. Statist. 2(4): 819-821 (July, 1974). DOI: 10.1214/aos/1176342770

Abstract

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 $D\lbrack 0, \infty)$.

Citation

Download Citation

Olav Kallenberg. "A Note on the Asymptotic Equivalence of Sampling with and Without Replacement." Ann. Statist. 2 (4) 819 - 821, July, 1974. https://doi.org/10.1214/aos/1176342770

Information

Published: July, 1974
First available in Project Euclid: 12 April 2007

zbMATH: 0285.62006
MathSciNet: MR365811
Digital Object Identifier: 10.1214/aos/1176342770

Subjects:
Primary: 62D05
Secondary: 60F05

Keywords: Convergence in distribution , drawing with and without replacement , Sampling from finite populations

Rights: Copyright © 1974 Institute of Mathematical Statistics

JOURNAL ARTICLE
3 PAGES


SHARE
Vol.2 • No. 4 • July, 1974
Back to Top