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Bivariate semiparametric control charts for simultaneous monitoring of process mean and variance

机译：双变量半参数控制图，用于同时监视过程均值和方差

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摘要

In the present article, two semiparametric bivariate control charts are presented, which use order statistics and are effective in jointly monitoring of possible shifts in the process mean and/or variance. To achieve that both the median location (or more generally the location of a specific order statistic) and the number of specific observations of the test sample lying between the control limits are taken into account. The false alarm rate and the in-control average run length are not affected by the marginal distributions, while the effect of the dependence structure on them is negligible; therefore, they can be used as fully nonparametric charts. A performance-comparison study is carried out, and an illustrative example is provided using a real-world data set.
机译：在本文中，提出了两个半参数双变量控制图，它们使用顺序统计信息，并且可以有效地联合监视过程平均值和/或方差的可能变化。为了实现这一点，要考虑到中位数位置（或更一般而言，特定顺序统计的位置）和位于控制范围之间的测试样本的特定观察次数。误报率和控制中平均运行时间不受边际分布的影响，而依赖结构对其的影响可以忽略不计；因此，它们可以用作完全非参数的图表。进行了性能比较研究，并使用实际数据集提供了说明性示例。

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