A Two-Stage Adaptive Group-Testing Procedure for Estimating Small Proportions
提出并分析了一种利用群组测试自适应估计比例p的方法，重点研究两阶段程序，通过渐近和小样本相对效率与常规估计比较，推荐在至少10次测量基础上调整群组大小。
Abstract A method for adaptively estimating a proportion p using group-testing procedures is presented and analyzed, with emphasis placed on a two-stage procedure. This estimator is compared to the usual group-testing estimator via asymptotic and small-sample relative efficiency. The adaptive estimator is generally recommended with the restriction that adaptations (i.e., adjustments of group size) are based on at least 10 measurements/responses. But if one is confident that one has a “very good” a priori estimate of p, then the usual estimator is recommended. Monte Carlo simulations show that a normal approximation is adequate for generating confidence intervals with confidence coefficients as high as .95.