arXiv subjects

Eno Vangjeli

Publications and source records attributed to Eno Vangjeli.

2 recordsLinked to original sources

arXiv2011

Essentially ML ASN-Minimax double sampling plans

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, α, and β, 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).

stat.ME↗

arXiv2011

ASN-Minimax double sampling plans by variables for two-sided specification limits when σ is unknown

ASN-Minimax double sampling plans by variables for a normally distributed quality characteristic with unknown standard deviation and two-sided specification limits are introduced. These plans base on the essentially Maximum-Likelihood (ML) estimator p* and the Minimum Variance Unbiased (MVU) estimator ^p of the fraction defective p. The operation characteristic (OC) of the ASN-Minimax double sampling plans is determined by using the independent random variables p*_1, p*_2 and ^p_1, ^p_2, which relate to the first and second samples, respectively. The maximum of the average sample number (ASN) of these plans is shown to be considerably smaller than the sample size of the corresponding single sampling plans.

stat.ME↗