摘要
利用函数型数据刻画产品的某些特性是目前统计质量控制研究中非常流行的方法。文章讨论了带有独立同分布随机项的一般线性函数型模型,基于分位数回归方法在线监控截距和斜率中位数。结合多元指数加权移动平均控制图,给出一种新的函数型数据在线监控控制图,通过模拟研究给出控制图的可控平均运行长度,并验证了在模型系数发生漂移的情况下控制图的有效性。
Characterizing certain properties of products by linear profiles is a very popular method in statistical quality control research. The paper examines a general linear profile model with independent and identically distributed random variables,and monitors the intercept and slope median online based on quantile regression. Multivariate exponentially weighted moving average(MEWMA) control chart is also used to propose new on-line monitoring linear profiles with a control chart. This paper also proposes in-control average run length of the control chart by means of simulation study,and verifies the effectiveness of the control chart in case of shifts in the model coefficient.
引文
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