Practitioners guide on parametric, nonparametric, and semiparametric profile monitoring

被引:14
作者
Jones, Chelsea L. [1 ]
Abdel-Salam, Abdel-Salam G. [2 ]
Mays, D'Arcy [1 ]
机构
[1] Virginia Commonwealth Univ, Coll Humanities & Sci, Dept Stat Sci & Operat Res, Richmond, VA 23284 USA
[2] Qatar Univ, Dept Math Stat & Phys, Doha, Qatar
关键词
CUSUM; EWMA; Hotelling's T-2; nonparametric; profile monitoring; semiparametric; statistical process control; MIXED-MODEL APPROACH; CONTROL CHART; REGRESSION; ASYMPTOTICS;
D O I
10.1002/qre.2770
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Profile monitoring is one of the methods used in statistical process control (SPC) to understand the functional relationship between response and explanatory variables by tracking this relationship and estimating parameters. SPC is done in two phases: In PhaseI, a statistical model is created and its parameters estimated using historical data. PhaseIIimplements the statistical model and monitors the live ongoing process. Control charts are graphical tools used to monitor these functional relationships over time in both PhaseIand PhaseII. This study provides a step-by-step application for parametric, nonparametric, and semiparametric methods in profile monitoring and creates an in-depth guideline with comparative analysis studies for novice practitioners. A comparative analysis under each distributional assumption is conducted for various control charts.
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页码:857 / 881
页数:25
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