The challenge of estimating a population size ($N$) is usually faced with the well-established mark-recapture sampling scheme. The basic idea is to tag $t$ items of the population and then observe the number of tagged items appearing in a subsequent random sample. The frequencies of tagged versus non-tagged items are informative to estimate $N$. For construction of fixed-width and fixed-accuracy confidence intervals for $N$, this paper compares a numerical non-replacement-sampling sequential design against an asymptotic replacement-sampling sequential design. While the former has shown to perform better in terms of expected sample size, the latter was found superior in terms of robustness with respect to the magnitude of $N$.

估计人口规模的挑战（$N$) 通常面临完善的标记重新捕获抽样方案。基本思想是标记$吨$项，然后观察出现在后续随机样本中的标记项的数量。标记与未标记项目的频率有助于估计$N$. 用于构建固定宽度和固定精度置信区间$N$，本文将数值非替换采样序列设计与渐近替换采样序列设计进行了比较。虽然前者在预期样本量方面表现更好，但发现后者在稳健性方面优于$N$.