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Process Monitoring Based on the Multiblock Rolling Pin Vine Copula
Industrial & Engineering Chemistry Research ( IF 3.8 ) Pub Date : 2020-09-03 , DOI: 10.1021/acs.iecr.0c02989 Qiong Jia 1 , Shaojun Li 1
Industrial & Engineering Chemistry Research ( IF 3.8 ) Pub Date : 2020-09-03 , DOI: 10.1021/acs.iecr.0c02989 Qiong Jia 1 , Shaojun Li 1
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This paper presents a process-monitoring method based on multiblock rolling pin vine copula. The multiblock strategy not only reduces the impact of the local errors of the global variable during the monitoring process but also reduces the number of parameters that must be estimated and the number of copula trees. Introduction of rolling pin solves the problem that vine copula is difficult to accurately describe nonmonotonic data. The combination of multiblock and rolling pin reduces the risk of selecting a single reference variable to transform data. The root node has the greatest correlation with other variables. The root node in each sub-block is set as a reference variable, which makes the method have better robust characteristics. The good performance of this method during process monitoring is verified by a numerical example and a chemical-engineering example.
中文翻译：
基于多段式Pin面杖Copula的过程监控
提出了一种基于多块rolling面藤蔓菌落的过程监测方法。多块策略不仅减少了监视过程中全局变量的局部误差的影响，而且减少了必须估计的参数数量和copula树的数量。引入rolling面杖解决了藤蔓copula难以准确描述非单调数据的问题。多块和rolling面杖的组合降低了选择单个参考变量来转换数据的风险。根节点与其他变量具有最大的相关性。每个子块中的根节点被设置为参考变量，这使得该方法具有更好的鲁棒性。
更新日期：2020-10-07
中文翻译：
基于多段式Pin面杖Copula的过程监控
提出了一种基于多块rolling面藤蔓菌落的过程监测方法。多块策略不仅减少了监视过程中全局变量的局部误差的影响，而且减少了必须估计的参数数量和copula树的数量。引入rolling面杖解决了藤蔓copula难以准确描述非单调数据的问题。多块和rolling面杖的组合降低了选择单个参考变量来转换数据的风险。根节点与其他变量具有最大的相关性。每个子块中的根节点被设置为参考变量，这使得该方法具有更好的鲁棒性。
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