In some complicated cases, a multivariate process/product can be characterized better by a combined technical specification vector. A combined technical specification vector is referred to as the case that the quality of a process/product is evaluated by different continuous and discrete random variables at the same time. In this case that there is also the covariance condition, the vector could not follow a single joint distribution. This research approaching kernel method and support vector data description (SVDD) proposes a new multivariate cumulative scheme named MK-CUSUM to monitor the random vector of a process/product with combined technical specifications. The numerical analysis indicates that the proposed scheme is capable of detecting out-of-control conditions effectively when the process experiences different shifts in the random mean vector. The comparative performance report addresses that the proposed scheme is superior compared to the models of literature.

中文翻译：

---

监控组合多变量过程逼近混合核-CUSUM分析

在一些复杂的情况下，多变量过程/产品可以通过组合技术规范向量更好地表征。组合的技术规格向量是指过程/产品的质量同时由不同的连续和离散随机变量评估的情况。在这种情况下，也存在协方差条件，向量不能遵循单个联合分布。这项接近核方法和支持向量数据描述 (SVDD) 的研究提出了一种名为 MK-CUSUM 的新多元累积方案，以监控具有组合技术规范的过程/产品的随机向量。数值分析表明，当过程经历随机平均向量的不同偏移时，所提出的方案能够有效地检测失控条件。比较性能报告指出，与文献模型相比，所提出的方案更优越。