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首页> 外文期刊>Journal of applied statistics >Properties and performance of one-sided cumulative count of conforming chart with parameter estimation in high-quality processes
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Properties and performance of one-sided cumulative count of conforming chart with parameter estimation in high-quality processes

机译：高质量过程中带参数估计的一致性图表单侧累积计数的性质和性能

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摘要

The one-sided cumulative count of conforming (CCC) chart is a useful method to monitor nonconforming fraction in high-quality manufacturing processes. The nonconforming fraction parameter is assumed to be known when implementing a one-sided CCC chart. In this study, we investigated the impact of estimated nonconforming fraction, (p)0, in a one-sided CCC chart. The run length distribution is derived as well as the conditional probability of a false alarm rate (CFAR), conditional average run length (CARL) and its standard deviation (CSDRL). Simulation results are conducted to evaluate the effect of po in a one-sided CCC chart. The results show that values of CFAR, CARL and CSDRL are close to the nominal values for a large sample. The impact of estimation errors was also studied. We find that CFAR decreases for large (p)0- Thus, a large value of (p)0 is suggested for fewer false alarms.
机译：单侧合格评定累计表（CCC）是一种用于监视高质量制造过程中不合格分数的有用方法。实施单面CCC图时，假定不合格分数参数已知。在这项研究中，我们在单面CCC图表中调查了估计的不合格分数（p）0的影响。得出行程长度分布以及误报率（CFAR）的条件概率，条件平均行程长度（CARL）及其标准偏差（CSDRL）。进行仿真结果以评估单面CCC图中po的影响。结果表明，CFAR，CARL和CSDRL的值接近于大样本的标称值。还研究了估计误差的影响。我们发现，对于较大的（p）0，CFAR减小-因此，建议使用较大的（p）0值，以减少错误警报。

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