Two new distribution-free Lepage-type statistical process monitoring schemes are proposed. One is the double exponentially weighted moving average Lepage scheme, and the other is the homogeneously weighted moving average Lepage scheme. For the past ten years, the distribution-free schemes for jointly monitoring both the location and scale parameters of a process draw an abundance of attention from the researchers. The Lepage statistic is a famous single statistic employed in the distribution-free joint monitoring schemes. The Lepage-type schemes have been widely explored, modified, and improved by researchers recently. The in-control robustness of the distribution-free schemes renders flexibility in its implementation, and they are now playing a pivotal role in the new era of intelligent monitoring. Also, the double exponentially and homogeneously weighted moving average schemes are widely explored in recent years. One of the new charting plans combines the distribution-free approach for joint monitoring and the notion of the double exponentially weighted moving average. Another proposed scheme blends the concepts of distribution-free simultaneous monitoring with the homogeneously weighted moving average. Implementation designs based on both the time-varying and steady-state control limits are considered. A homogeneously weighted moving average Lepage scheme with the time-varying control limit is better than its counterpart with the steady-state control limit in reducing the rate of early false alarms. In general, the double exponentially weighted moving average scheme performs well in detecting small to moderate shifts in the process. The proposed schemes are illustrated with an industrial application in monitoring the e-commerce activity, precisely the online shopper’s intention. Some concluding remarks and future research problems are presented.

提出了两种新的无分布Lepage 型统计过程监控方案。一种是双指数加权移动平均 Lepage 方案，另一种是齐次加权移动平均 Lepage 方案。在过去的十年中，联合监测过程位置和尺度参数的无分布方案引起了研究人员的广泛关注。Lepage 统计量是在无分布联合监测方案中使用的著名的单一统计量。最近，研究人员对 Lepage 类型的方案进行了广泛的探索、修改和改进。免分配方案的控制鲁棒性使其在实施中具有灵活性，它们现在在智能监控的新时代中发挥着举足轻重的作用。还，近年来，人们广泛探索了双指数和同质加权移动平均方案。新的图表计划之一结合了联合监测的无分布方法和双指数加权移动平均线的概念。另一种提议的方案将无分布同时监测的概念与均匀加权的移动平均线相结合。考虑了基于时变和稳态控制限制的实现设计。具有时变控制极限的均匀加权移动平均 Lepage 方案在降低早期误报率方面优于具有稳态控制极限的对应方案。一般来说，双指数加权移动平均方案在检测过程中的小到中等变化方面表现良好。所提出的方案通过在监控电子商务活动中的工业应用来说明，正是在线购物者的意图。提出了一些结论和未来的研究问题。