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首页> 外文期刊>Journal of statistical computation and simulation >A median loss control chart for monitoring quality loss under skewed distributions
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A median loss control chart for monitoring quality loss under skewed distributions

机译：用于监控偏斜分布下质量损失的中值损失控制图

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摘要

The quality and loss of products are crucial factors separating competitive companies in global market. Firms widely employ a loss function to measure the loss caused by a deviation of the quality variable from the target value. Monitoring this deviation from the process target value is important from the view of Taguchi's philosophy. In reality, there are many situations where the distribution of the quality variable may not be normal but skewed. This paper aims at developing a median loss (ML) control chart for monitoring quality loss under skewed distributions. Both the cases with fixed and variable sampling intervals are considered. Numerical results show that the ML chart with (optimal) variable sampling intervals performs better than the ML chart in detecting small to moderate shifts in the process loss centre or in the difference of mean and target and/or variance of a process variable. The ML chart and the ML chart with variable sampling intervals also illustrate the best performance in detection out-of-control process for a process quality variable with a left-skewed distribution. A numerical example illustrates the application of the proposed control chart.
机译：产品的质量和损失是在全球市场上区分竞争性公司的关键因素。企业广泛使用损失函数来衡量由于质量变量偏离目标值而导致的损失。从田口的哲学观点来看，监控与过程目标值的偏差非常重要。实际上，在许多情况下，质量变量的分布可能不是正常的而是偏斜的。本文旨在开发一种中值损失（ML）控制图，用于监控倾斜分布下的质量损失。固定采样间隔和可变采样间隔的情况都应考虑。数值结果表明，具有（最佳）可变采样间隔的ML图在检测过程损失中心或过程变量的平均值与目标值和/或方差之差方面，要比ML图更好。 ML图表和带有可变采样间隔的ML图表还说明了对于具有左偏分布的过程质量变量，在检测失控过程中的最佳性能。数值示例说明了建议控制图的应用。

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