Essentially ML ASN-Minimax double sampling plans (1106.4160v1)

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).