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首页> 外文期刊>Quality and Reliability Engineering International >Improved One-Sided Control Charts for the Mean of a Positively Skewed Population Using Truncated Saddlepoint Approximations
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Improved One-Sided Control Charts for the Mean of a Positively Skewed Population Using Truncated Saddlepoint Approximations

机译:改进的单侧控制图,使用截断的鞍点近似求正偏总体的均值

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摘要

This paper develops a truncated saddlepoint (TS) control chart for the mean of a population with a skewed density. This chart requires the estimation of only a few population cumulants from sample data and is relatively straightforward in construction. Performance is assessed at various levels of truncation in terms of type 1 and 2 error rates and compared with other heuristic control charts via the Monte Carlo simulation. The truncated saddlepoint (TS) chart is shown to generally outperform these charts, especially in cases with small sample sizes or high levels of population skewness.
机译:本文针对密度偏斜的总体平均值制定了截断鞍点(TS)控制图。该图表仅需要从样本数据中估算出一些种群累积量,并且在构造上相对简单。根据类型1和2的错误率在不同的截断级别上评估性能,并通过蒙特卡洛模拟与其他启发式控制图进行比较。截短的鞍点(TS)图表通常表现优于这些图表,尤其是在样本量较小或人口偏度较高的情况下。

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