Stabilized Sieve Sampling: A Point-Estimator Analysis
提出一种改进的筛抽样方案,能返回固定样本量,并给出总误差金额的无偏估计量及其方差,适用于审计等需要按规模大小概率抽样的场景。
Abstract A modification of sieve sampling is proposed that returns a constant sample size. It is a scheme that selects line items with probability proportional to size (PPS) and nearly without replacement. An unbiased estimator of the total error amount is presented and its variance derived. Conditions under which the scheme is more efficient than sieve sampling and than PPS with replacement sampling are given. KEY WORDS: EfficiencyHansen–Hurwitz estimatorHorvitz–Thompson estimatorSampling with probability proportional to size