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The effect of autocorrelation on the performance of MEWMA control chart with controlled correlation

机译:自相关对受控相关MEWMA控制图性能的影响

摘要

Control charts are made to identify assignable causes of difference that could exist in production processes. When traditional control charts are utilized you have the implied presumption that this observations are independently and identically distributed as time passes. It is usually believed the probability distribution which represents the actual observations includes a known functional form and it is constant as time passes. Nevertheless, in reality, observations produced through continuous in addition to discrete generation procedures in many cases are serially correlated. Auto correlation not just breaks the actual independence assumption of conventional control charts, but also can impact the efficiency associated with control charts negatively. In this article, we are going to investigate the result associated with autocorrelation around the performance of MEWMA control chart, in which autocorrelated data were utilized to create the MEWMA chart with induced autocorrelation from various levels of correlations (small, moderate as well as large) and different sample sizes. Simulations had been done to create the data set used to construct the MEWMA control chart and the outcomes implies that all of the control charts constructed had their points outside the designed control limits, that confirmed the effect of autocorrelation to the performance of the MEWMA control chart.
机译:制作控制图以识别生产过程中可能存在的差异的可分配原因。当使用传统的控制图时,您将隐含的假设是,随着时间的流逝,这些观察值将独立且均匀地分布。通常认为代表实际观察结果的概率分布包括已知的函数形式,并且随着时间的流逝它是恒定的。然而,实际上,在许多情况下,除了离散生成过程外,还通过连续产生的观测值是连续相关的。自动关联不仅打破常规控制图的实际独立性假设,而且还会对与控制图相关的效率产生负面影响。在本文中,我们将围绕MEWMA控制图的性能研究与自相关相关的结果,其中利用自相关数据创建了具有各种相关级别(小,中和大)的自相关的MEWMA图。和不同的样本量。已经进行了仿真以创建用于构建MEWMA控制图的数据集,结果表明所构建的所有控制图的点均超出设计的控制范围,这证实了自相关对MEWMA控制图性能的影响。

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