In this work, we develop and study upper and lower one-sided EWMA control charts for monitoring correlated counts with finite range. Often in practice, data of that kind can be adequately described by a first-order binomial or beta-binomial autoregressive model. Especially, when there is evidence that data demonstrate extra-binomial variation, the latter model is preferable than the former. The proposed charts can be used for detecting upward or downward shifts in process mean level. Practical guidelines concerning the statistical design of the proposed charts are given, while the effect of the extra-binomial variation is investigated as well. Comparisons with existing control charting procedures are also provided. Finally, an illustrative real-data example is also given.

在这项工作中，我们开发和研究了上下单面 EWMA 控制图，用于监测有限范围内的相关计数。通常在实践中，此类数据可以通过一阶二项式或 beta-二项式自回归模型充分描述。特别是，当有证据表明数据显示出二项式外的变化时，后一种模型比前者更可取。建议的图表可用于检测过程平均水平的向上或向下移动。给出了有关拟议图表的统计设计的实用指南，同时还研究了二项式外变化的影响。还提供了与现有控制图表程序的比较。最后，还给出了一个说明性的真实数据示例。