Inverse Gaussian Control Charts for Monitoring Process Variability
Inverse Gaussian Control Charts for Monitoring Process Variability
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DOI：
10.1081/sac-120013123
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发表时间：
2003-01
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影响因子：
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通讯作者：
C. Sim
中科院分区：
文献类型：
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作者：
C. Sim
在质量特性服从逆高斯IG(μ，λ)分布且参数λ已知、位置参数μ已知或未知的假设下，构造了检测过程变异性漂移的控制图。在参数λ未知且必须从来自受控IG(μ，λ)过程的初步子群估计的情况下，考察了估计的概率极限对所建议的图表在检测过程变异性变化方面的性能的影响。文中还给出了对具有期望虚警率的建议图表的调整概率界限进行评估的修正因子。
Abstract Control charts for detecting shifts in process variability are constructed under the assumption that the quality characteristic under study follows the inverse Gaussian IG(μ, λ) distribution with known parameter λ, and the location parameter μ is either known or unknown. The effects of the estimated probability limits on the performance of the proposed charts in detecting shifts in process variability are examined for the case when the parameter λ is unknown and must be estimated from preliminary subgroups taken from an in-control IG( μ, λ) process. The correction factors for evaluating the adjusted probability limits of the proposed charts that have a desired false alarm rate are given as well.