Sampling Plans Which Approximately Minimize the Maximum Expected Sample Size

Abstract

Let θ denote the unknown proportion of defectives in an indefinitely large population. A sampling plan is constructed which approximately minimizes the maximum expected sample size among all plans satisfying the conditions P θ (plan will accept the population) ≥ 1− α if θ ≤ θ −1 P θ (plan will accept the population) ≤ β if θ≥θ 1 .