过程监控中变化点估计方法综述

IF 4.6 2区 数学 Q1 MATHEMATICS, APPLIED Applied and Computational Mathematics Pub Date : 2021-06-29 DOI:10.11648/j.acm.20211003.13
A. J. Ogunniran, Kayode S. Adekeye, J. Adewara, M. Adamu
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引用次数: 1

摘要

当一个或多个观察值超出控制范围时,图表表明过程中存在变化。变化点检测有助于时间序列的建模和预测,并且在包括过程监控在内的更广泛的应用领域中被发现。针对不同类型的变化,文献中提出了三种方法来估算过程中的变化点。它们是:最大似然估计(MLE),累积和(CUSUM)和指数加权移动平均(EWMA)方法。本文简要介绍了变更点估计,详细说明、分类并评估了许多在过程监控中被推荐用于检测变更点的方法。文献中的变化点文章大致分为五类,即:过程类型、数据类型、变化类型、阶段类型和估计方法。除了这五大类,我们还包括了所涉及的参数。此外,还审查了用于检测过程突然变化的控制图和其他监测工具的使用情况,并检查了过程监测/控制的差距。不同估计方法的组合将是找到变更点模型的最佳估计的有价值的方法。进一步的研究将包括评估各种变化点估计器对潜在分布假设偏差的敏感性。
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A Review of Change Point Estimation Methods for Process Monitoring
When one or more observations fall outside the control limits, the chart signals the existence of a change in the process. Change point detection is helpful in modelling and prediction of time series and is found in broader areas of applications including process monitoring. Three approaches were proposed for estimating change point in process for the different types of changes in the literature. they are: Maximum Likelihood Estimator (MLE), the Cumulative Sum (CUSUM), and the Exponentially Weighted Moving Average (EWMA) approaches. This paper gives a synopsis of change point estimation, specifies, categorizes, and evaluates many of the methods that have been recommended for detecting change points in process monitoring. The change points articles in the literature were categorized broadly under five categories, namely: types of process, types of data, types of change, types of phase and methods of estimation. Aside the five broad categories, we also included the parameter involved. Furthermore, the use of control charts and other monitoring tools used to detect abrupt changes in processes were reviewed and the gaps for process monitoring/controlling were examined. A combination of different methods of estimation will be a valuable approach to finding the best estimates of change point models. Further research studies would include assessing the sensitivity of the various change point estimators to deviations in the underlying distributional assumptions.
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来源期刊
CiteScore
8.80
自引率
5.00%
发文量
18
审稿时长
6 months
期刊介绍: Applied and Computational Mathematics (ISSN Online: 2328-5613, ISSN Print: 2328-5605) is a prestigious journal that focuses on the field of applied and computational mathematics. It is driven by the computational revolution and places a strong emphasis on innovative applied mathematics with potential for real-world applicability and practicality. The journal caters to a broad audience of applied mathematicians and scientists who are interested in the advancement of mathematical principles and practical aspects of computational mathematics. Researchers from various disciplines can benefit from the diverse range of topics covered in ACM. To ensure the publication of high-quality content, all research articles undergo a rigorous peer review process. This process includes an initial screening by the editors and anonymous evaluation by expert reviewers. This guarantees that only the most valuable and accurate research is published in ACM.
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