标题： CGR-CUSUM：一种连续时间广义快速响应累积和控制图 显示英文标题

标题： CGR-CUSUM: A Continuous time Generalized Rapid Response Cumulative Sum chart

摘要： 迅速检测护理质量的问题对于患者的健康至关重要。 如果没有适当的检查方案，这些问题可能在多年内无法被发现。 累积和（CUSUM）图已被证明对质量控制有用，但现有的生存结果方法有限。 目前可用的连续时间检查图通常要求研究人员提前指定失败率的预期增加，从而需要关于当前问题的先验知识。 参数指定错误可能导致误报警和较大的检测延迟。 为了解决这个问题，我们采用更通用的方法来推导新的连续时间广义快速响应CUSUM（CGR-CUSUM）图。 我们找到了近似平均运行长度（平均检测时间）的表达式，并通过使用CGR-CUSUM在荷兰关节成形术登记处的真实数据集以及模拟研究中与其他常用监控方案相比，展示了检测速度的可能提升。 除了医疗程序的检查，CGR-CUSUM还可用于其他实时检查方案，如工业生产线和服务质量控制。 显示英文摘要

摘要： Rapidly detecting problems in the quality of care is of utmost importance for the well-being of patients. Without proper inspection schemes, such problems can go undetected for years. Cumulative sum (CUSUM) charts have proven to be useful for quality control, yet available methodology for survival outcomes is limited. The few available continuous time inspection charts usually require the researcher to specify an expected increase in the failure rate in advance, thereby requiring prior knowledge about the problem at hand. Misspecifying parameters can lead to false positive alerts and large detection delays. To solve this problem, we take a more general approach to derive the new Continuous time Generalized Rapid response CUSUM (CGR-CUSUM) chart. We find an expression for the approximate average run length (average time to detection) and illustrate the possible gain in detection speed by using the CGR-CUSUM over other commonly used monitoring schemes on a real life data set from the Dutch Arthroplasty Register as well as in simulation studies. Besides the inspection of medical procedures, the CGR-CUSUM can also be used for other real time inspection schemes such as industrial production lines and quality control of services.