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基于风险的控制图 — 统计过程控制的经济设计

基于风险的控制图通过明确纳入两种误差类型的成本和概率——误报(第一类错误)和漏报(第二类错误)——以及抽样成本,来扩展经典的Shewhart控制图,并将其用于图表参数的设计。该方法不使用任意的3西格玛限,而是选择样本量、抽样间隔和控制限来最小化监控方案的总预期成本或风险。

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来源

  1. Lorenzen, T. J., & Vance, L. C. (1986). The economic design of control charts: A unified approach. Technometrics, 28(1), 3–10. DOI: 10.1080/00401706.1986.10488092
  2. Duncan, A. J. (1956). The economic design of X̄ charts used to maintain current control of a process. Journal of the American Statistical Association, 51(274), 228–242. DOI: 10.1080/01621459.1956.10501322

如何引用本页

ScholarGate. (2026, June 3). Risk-based Statistical Process Control Chart. ScholarGate. https://scholargate.app/zh/experimental-design/risk-based-control-chart

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ScholarGateRisk-based control chart (Risk-based Statistical Process Control Chart). 于 2026-06-15 检索自 https://scholargate.app/zh/experimental-design/risk-based-control-chart · 数据集: https://doi.org/10.5281/zenodo.20539026