The autoregressive T~2 chart for monitoring univariate autocorrelated processes

Daniel W.Apley; Fugee Tsung

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The autoregressive T~2 chart for monitoring univariate autocorrelated processes

机译：用于监视单变量自相关过程的自回归T〜2图表

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The method presented involves using Hotelling's T~2 statistic to monitor a vector formed from a moving window of observations of the univariate autocorrelated process.It is shown that this statistic can be decomposed into the sum of the squares of the residual errors for various order autoregressive time series models fit to the process data.Guidelines to design the autoregressive T~2 chart are presented,and its performance compared to that of the residual-based CUSUM and Shewhart individual control charts. (27 refs.)

机译：提出的方法涉及使用Hotelling的T〜2统计量来监视由单变量自相关过程的观测移动窗口形成的向量，这表明该统计量可以分解为各种阶数自回归的残差平方和。时间序列模型适合过程数据。提供了设计自回归T〜2图的指南，并将其性能与基于残差的CUSUM和Shewhart单独控制图相比。（27参考）

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《Quality Control and Applied Statistics》 |2002年第5期|共4页
作者
Daniel W.Apley; Fugee Tsung;
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正文语种 eng
中图分类工业技术;一般工业技术;工程基础科学;
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1. The Autoregressive T~2 Chart for Monitoring Univariate Autocorrelated Processes [J] . DANIEL W. APLEY, FUGEE TSUNG Journal of Quality Technology . 2002,第1期

机译：用于监测单变量自相关过程的自回归T〜2图表
2. The autoregressive T~2 chart for monitoring univariate autocorrelated processes [J] . Daniel W.Apley, Fugee Tsung Quality Control and Applied Statistics . 2002,第5期

机译：用于监视单变量自相关过程的自回归T〜2图表
3. On autoregressive model selection for the exponentially weighted moving average control chart of residuals in monitoring the mean of autocorrelated processes [J] . Li Yaping, Pan Ershun, Xiao Yan Quality and Reliability Engineering International . 2020,第7期

机译：在监测自相关过程中的归属量加权移动平均控制图中的自回归模型选择
4. A directional multivariate control chart for monitoring univariate autocorrelated processes [C] . Wenwan Yang, Xuemin Zi, Changliang Zou International Conference on Advanced Design and Manufacturing Engineering . 2012

机译：用于监控单变量自相关进程的定向多变量控制图
5. Fault Identification in Multivariate Processes Using the Analysis of Multiple Univariate Statistical Quality Control Charts Along With T2 Multivariate Quality Control Charts Based on the Effect of the Underlying Variances and Covariances [D] . Alothman, Hussam Ali. 2019

机译：使用多变量统计质量控制图的分析以及基于底层差异和协方差的效果的T2多变量质量控制图的多变量过程
6. A comparison of univariate vector bilinear autoregressive and band power features for brain–computer interfaces [O] . Clemens Brunner, Martin Billinger, Carmen Vidaurre, -1

机译：脑机接口单变量矢量双线性自回归和带幂函数的比较
7. Monitoring Autocorrelated Processes Using a Distribution-Free Tabular CUSUM Chart with Automated Variance Estimation [O] . Joongsup (jay Lee, Christos Alexopoulos, David Goldsman, 2015

机译：使用具有自动方差估计的无分布表格CUsUm图监视自相关过程
8. On Forecasting with Univariate Autoregressive Processes: A Bayesian Approach. [R] . Broemeling, L., Land, M. 1982

机译：单变量自回归过程的预测：贝叶斯方法。

The autoregressive T~2 chart for monitoring univariate autocorrelated processes

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