This article deals with the monitoring of censored data using the cumulative sum (CUSUM) control charts for Weibull lifetimes under type‐I censoring. To develop an efficient CUSUM structure for censored data, we use the conditional expected value (CEV) and conditional median (CM) approaches. In particular, we focus on the detection of shifts in the mean of Weibull lifetimes assuming censored data. In addition to fixed/known parameter values, the effect of estimation is assessed on the detection power of control charts. The performance of the proposed charts is evaluated by the average run length (ARL). Furthermore, the ARL performance of CUSUM charts is compared with CEV‐ and CM‐based exponentially weighted moving average (EWMA) control charts. Besides an extensive simulation study, the significance of the current work is illustrated by a data set on the response time of a thermostat experiment.

中文翻译：

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Weibull数据的基于条件均值和中位数的累积和控制图

本文使用类型I审查下Weibull生命周期的累积总和（CUSUM）控制图处理审查数据的监视。为了开发用于审查数据的有效CUSUM结构，我们使用了条件期望值（CEV）和条件中值（CM）方法。尤其是，我们重点研究假设数据经过审查的Weibull寿命均值的变化。除了固定/已知的参数值外，还评估了控制图检测能力的估计效果。拟议图表的性能由平均行程长度（ARL）评估。此外，将CUSUM图表的ARL性能与基于CEV和CM的指数加权移动平均值（EWMA）控制图进行了比较。除了进行广泛的模拟研究之外，