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Confidence interval estimation for negative binomial group distribution

机译:负二项式群分布的置信区间估计

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Negative binomial group distribution was proposed in the literature which was motivated by inverse sampling when considering group inspection: products are inspected group by group, and the number of non-conforming items of a group is recorded only until the inspection of the whole group is finished. The non-conforming probability p of the population is thus the parameter of interest. In this paper, the confidence interval construction for this parameter is investigated. The common normal approximation and exact method are applied. To overcome the drawbacks of these commonly used methods, a composite method that is based on the confidence intervals of the negative binomial distribution is proposed, which benefits from the relationship between negative binomial distribution and negative binomial group distribution. Simulation studies are carried out to examine the performances of our methods. A real data example is also presented to illustrate the application of our method.
机译:文献中提出了负二项式组分布,这是在考虑组检查时以反采样为动力的:逐组检查产品,并且直到完成整个组的检查才记录组中不合格项的数量。因此,总体的不合格概率p是关注的参数。本文研究了该参数的置信区间构造。应用普通法线近似和精确方法。为了克服这些常用方法的缺点,提出了一种基于负二项式分布的置信区间的复合方法,该方法得益于负二项式分布和负二项式群分布之间的关系。进行仿真研究以检查我们方法的性能。还提供了一个真实的数据示例来说明我们方法的应用。

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