预测比CUSUM (PRC):一种贝叶斯方法在短期运行在线变化点检测中的应用

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL
Konstantinos Bourazas, F. Sobas, P. Tsiamyrtzis
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引用次数: 1

摘要

对低容量数据的过程进行在线质量监测是一项非常具有挑战性的任务,并且通常将注意力放在检测某些下划线(未知)过程参数何时经历持续变化上。自启动方法,无论是在频率域还是贝叶斯域,都旨在提供一个解决方案。采用后一种观点,我们提出了一种通用的封闭形式贝叶斯方案,其中测试过程建立在基于内存的控制图上,该控制图依赖于顺序更新的预测分布的累积比率。理论框架可以容纳任何可能性从正规指数族和使用共轭分析允许封闭形式建模。权力先验将提供公理框架,以便在可用时将不同的信息源合并到模型中。模拟研究评估了对竞争对手的表现,并检查了先验敏感性的各个方面。技术细节和算法作为补充材料提供。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Predictive ratio CUSUM (PRC): A Bayesian approach in online change point detection of short runs
Abstract The online quality monitoring of a process with low volume data is a very challenging task and the attention is most often placed in detecting when some of the underline (unknown) process parameter(s) experience a persistent shift. Self-starting methods, both in the frequentist and the Bayesian domain aim to offer a solution. Adopting the latter perspective, we propose a general closed-form Bayesian scheme, where the testing procedure is built on a memory-based control chart that relies on the cumulative ratios of sequentially updated predictive distributions. The theoretic framework can accommodate any likelihood from the regular exponential family and the use of conjugate analysis allows closed form modeling. Power priors will offer the axiomatic framework to incorporate into the model different sources of information, when available. A simulation study evaluates the performance against competitors and examines aspects of prior sensitivity. Technical details and algorithms are provided as supplementary material.
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来源期刊
Journal of Quality Technology
Journal of Quality Technology 管理科学-工程:工业
CiteScore
5.20
自引率
4.00%
发文量
23
审稿时长
>12 weeks
期刊介绍: The objective of Journal of Quality Technology is to contribute to the technical advancement of the field of quality technology by publishing papers that emphasize the practical applicability of new techniques, instructive examples of the operation of existing techniques and results of historical researches. Expository, review, and tutorial papers are also acceptable if they are written in a style suitable for practicing engineers. Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days
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