Monitoring censored data is a challenging task and for this purpose, many control charts have been proposed in the literature using different methodologies. In particular, conditional expected value (CEV) and conditional median (CM) are commonly used to replace the censored observations for efficient monitoring. These central tendency measures do not take into account the variation of the data. Thus, the main aim of the article is to propose control charts for type-I censored data monitoring using conditional standard deviation (CSD) and compare it with the existing censored data charts. To this end, exponentially weighted moving average (EWMA) and double EWMA (DEWMA) charts are proposed and studied assuming CSD, CEV, and CM statistics for Weibull data. Different size of shifts as well as smoothing parameters are considered to evaluate the effectiveness of the CSD based charts compared to the existing charts. The performance of the charts is assessed using average run length and standard deviation of run length. Based on simulations as well as two real data examples, the results indicated that the new measure CSD perform better than the CEV and CM statistics.

中文翻译：

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使用不同条件统计的 I 型删失数据监控

监控审查数据是一项具有挑战性的任务，为此，文献中提出了许多使用不同方法的控制图。特别是，条件期望值 (CEV) 和条件中位数 (CM) 通常用于替代删失的观测值以进行有效监测。这些集中趋势测量没有考虑数据的变化。因此，本文的主要目的是提出使用条件标准差 (CSD) 进行 I 型删失数据监控的控制图，并将其与现有的删失数据图进行比较。为此，假设 Weibull 数据的 CSD、CEV 和 CM 统计，提出并研究了指数加权移动平均线 (EWMA) 和双 EWMA (DEWMA) 图。与现有图表相比，考虑了不同大小的偏移以及平滑参数来评估基于 CSD 的图表的有效性。使用平均运行长度和运行长度的标准偏差评估图表的性能。基于模拟和两个真实数据示例，结果表明新测量 CSD 的性能优于 CEV 和 CM 统计数据。