In this work, we study the performance of two-sided EWMA charts for monitoring double bounded processes using individual observations. Specifically, the term double bounded refers to observations in the interval (0, 1) and thus, these charts are suitable for monitoring rates, proportions and percentages. There are several models that can be used to describe this kind of data (and the respective processes, as well) such as the Beta distribution, the Simplex distribution and the Unit Gamma distribution. For each of these three models, we provide the statistical design and the performance of the proposed EWMA charts. Also, apart from providing the appropriate values for the design parameters of each chart, we investigate how much the performance of the EWMA schemes is affected by using the values of control limits which have not been calculated under the true model. Finally, an illustrative example is also presented.
翻译：在这项工作中,我们研究利用个别观察监测双重界限过程的双面欧洲货币联盟图表的性能,具体地说,双重界限是指间隔期(0,1)的观察,因此,这些图表适合于监测率、比例和百分比,有若干模型可用来描述这类数据(以及各自的过程),如Beta分布、Slaimx分布和Unite Gamma分布,就这三种模型中的每一种,我们提供拟议的欧洲货币联盟图表的统计设计和性能。此外,除了为每张图表的设计参数提供适当的值外,我们还调查欧洲货币联盟计划的业绩在多大程度上受到使用控制限值的影响,而控制限值并没有在真实模型下计算。最后,我们还提供了一个例子。
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