A Note on the Asymptotic Equivalence of Sampling with and Without Replacement
有放回与无放回抽样的渐近等价性札记
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 $D\lbrack 0, \infty)$.