On exact and optimal single-sampling plans by variables

摘要

We deal with sampling by variables with two-way protection in the case of a N (μ, σ~2) distributed characteristic with unknown σ. The LR sampling plan proposed by Lieberman and Resnikoff (JASA 50: 457-516,1955) and the BSK sampling plan proposed by Bruhn-Suhr and Krumbholz (Stat. Papers 31:195-207,1990) are based on the UMVU and the plug-in estimator, respectively. For given p_1 (AQL), p_2 (RQL) and a, β (type Ⅰ and Ⅱ errors) we present an algorithm allowing to determine the optimal LR and BSK plans having minimal sample size among all plans satisfying the corresponding two-point condition on the OC. An R (R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria.