English

Essentially ML ASN-Minimax double sampling plans

Methodology 2011-06-22 v1

Abstract

Subject of this paper is ASN-Minimax (AM) double sampling plans by variables for a normally distributed quality characteristic with unknown standard deviation and two-sided specification limits. Based on the estimator p* of the fraction defective p, which is essentially the Maximum-Likelihood (ML) estimator, AM-double sampling plans are calculated by using the random variables p*_1 and p*_p relating to the first and pooled samples, respectively. Given p_1, p_2, {\alpha}, and {\beta}, no other AM-double sampling plans based on the same estimator feature a lower maximum of the average sample number (ASN) while fulfilling the classical two-point condition on the corresponding operation characteristic (OC).

Cite

@article{arxiv.1106.4160,
  title  = {Essentially ML ASN-Minimax double sampling plans},
  author = {Eno Vangjeli},
  journal= {arXiv preprint arXiv:1106.4160},
  year   = {2011}
}
R2 v1 2026-06-21T18:25:24.189Z