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Multivariate exponentially weighted moving-average chart for monitoring Poisson observations

机译:用于监测泊松观测值的多元指数加权移动平均图

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摘要

Advances in modern data acquisition techniques and computing power have enabled the collection and analysis of many quality characteristics simultaneously. If these quality characteristics are monitored separately, it might not be very effective in detecting process changes. To simultaneously monitor multiple characteristics, multivariate charts are being used. Though many studies are available in this field, they mostly assume multivariate normal distributions. This may be true in manufacturing industries but need not necessarily hold good in service sector. N such situations traditional multivariate approaches may lead to misleading conclusions. There are studies that proposed generalized Poisson distribution for multivariate count data. A drawback of this approach is that they do not allow zero or negative correlation. Though there are some approaches to overcome these drawbacks were proposed they lack in systematic methodology to monitor the multivariate count data. To overcome this problem, this study proposes a multivariate exponentially weighted moving average (MEWMA) scheme to monitor multivariate count data applying generalized Poisson distribution. (43 refs.)
机译:现代数据采集技术和计算能力的进步使得能够同时收集和分析许多质量特征。如果分别监视这些质量特征,则在检测过程变化方面可能不是很有效。为了同时监视多个特征,正在使用多元图表。尽管该领域有许多研究可用,但它们大多假设多元正态分布。这在制造业中可能是正确的,但不一定需要在服务业中占有一席之地。在这种情况下,传统的多变量方法可能会导致误导性结论。有研究提出针对多元计数数据的广义泊松分布。这种方法的缺点是它们不允许零或负相关。尽管提出了一些克服这些缺点的方法,但它们缺乏系统的方法来监测多元计数数据。为了克服这个问题,本研究提出了一种多元指数加权移动平均值(MEWMA)方案,以应用广义泊松分布来监测多元计数数据。 (43参考)

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