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首页> 外文期刊>Journal of applied statistics >Counting by weighing: construction of two-sided confidence intervals
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Counting by weighing: construction of two-sided confidence intervals

机译：通过称重计数：双面置信区间的构建

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摘要

Counting by weighing is widely used in industry and often more efficient than counting manually which is time consuming and prone to human errors especially when the number of items is large. Lower confidence bounds on the numbers of items in infinitely many future bags based on the weights of the bags have been proposed recently in Liu et al. [Counting by weighing: Know your numbers with confidence, J. Roy. Statist. Soc. Ser. C 65(4) (2016), pp. 641-648]. These confidence bounds are constructed using the data from one calibration experiment and for different parameters (or numbers), but have the frequency interpretation similar to a usual confidence set for one parameter only. In this paper, the more challenging problem of constructing two-sided confidence intervals is studied. A simulation-based method for computing the critical constant is proposed. This method is proven to give the required critical constant when the number of simulations goes to infinity, and shown to be easily implemented on an ordinary computer to compute the critical constant accurately and quickly. The methodology is illustrated with a real data example.
机译：通过称重计数是广泛应用于工业的，并且通常比手动计数更高的效率，这是耗时，尤其是人类错误，特别是当物品的数量很大时。最近在Liu等人中已经提出了基于袋子的重量的无限袋子数量的物品数量的较低的信心。 [按称量计数：以信心，J. Roy认识您的数字。统计数据。 SOC。 Ser。 C 65（4）（2016），PP。641-648]。使用来自一个校准实验的数据和不同参数（或数字）的数据构建这些置信度界限，但是具有类似于一个参数的通常置信度设置的频率解释。在本文中，研究了构建双面置信区间的更具挑战性的问题。提出了一种用于计算临界常数的基于仿真方法。当仿真数量转到无限度时，该方法被证明是给出所需的关键常量，并显示在普通计算机上轻松实现，以准确且快速地计算临界常数。该方法用真实的数据示例说明。

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