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arXiv 1106.4160stat.ME
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本质上是ML ASN-Minimax双重抽样计划

Essentially ML ASN-Minimax double sampling plans

Eno Vangjeli

摘要:

本文研究了具有未知标准差和双侧规格限的正态分布质量特性的ASN-Minimax(AM)双重抽样方案。基于不合格率p的估计量p*,即最大似然(ML)估计量,分别利用首样和合并样的随机变量p* 1和p* p,计算AM-双重抽样方案。给定p_1、p_2、α和β,基于相同估计量的AM-双重抽样方案都不具有平均样本量的下最大值,同时满足经典的两点条件。

英文摘要:

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).

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