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We study optimal design of the Exponentially Weighted Moving Average (EWMA) chart by a proper choice of the smoothing factor and the initial value (headstart) of the decision statistic. The particular problem addressed is that of quickest…

Applications · Statistics 2014-11-07 Aleksey S. Polunchenko , Grigory Sokolov , Alexander G. Tartakovsky

The moving average (MA)-type scheme, also known as the smoothing method, has been well established within the multivariate statistical process monitoring (MSPM) framework since the 1990s. However, its theoretical basis is still limited to…

Information Theory · Computer Science 2020-11-11 Yinghong Zhao , Xiao He , Junfeng Zhang , Hongquan Ji , Donghua Zhou , Michael G. Pecht

Monitoring several correlated quality characteristics of a process is common in modern manufacturing and service industries. Although a lot of attention has been paid to monitoring the multivariate process mean, not many control charts are…

Methodology · Statistics 2021-04-16 Mohsen Ebadi , Shoja'eddin Chenouri , Dennis K. J. Lin , Stefan H. Steiner

We argue against the use of generally weighted moving average (GWMA) control charts. Our primary reasons are the following: 1) There is no recursive formula for the GWMA control chart statistic, so all previous data must be stored and used…

Methodology · Statistics 2021-12-07 Sven Knoth , William H. Woodall , Víctor G. Tercero-Gómez

In this work, we study the performance of two-sided EWMA charts for monitoring double bounded processes using individual observations. Specifically, the term double bounded refers to observations in the interval (0, 1) and thus, these…

Applications · Statistics 2022-06-17 Argyro Lafatzi , Athanasios Rakitzis

Modern manufacturing industries are increasingly looking to predictive analytics to gain decision making information from process data. This is driven by high levels of competition and a need to reduce operating costs. The presented work…

Signal Processing · Electrical Eng. & Systems 2018-02-28 Darren A Whitaker , David Egan , Eoin OBrien , David Kinnear

Monitoring for changes in a predictive relationship represented by a fitted supervised learning model (i.e., concept drift detection) is a widespread problem in modern data-driven applications. A general and powerful Fisher score-based…

Methodology · Statistics 2026-03-24 Jiezhong Wu , Daniel W. Apley

Automated f ault detection and monitoring in engineering are critical but frequently difficult owing to the necessity for collecting and labeling large amounts of defective samples . We present an unsupervised method that uses the high end…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Ahmed Maged , Herman Shen

Investigating the problem of setting control limits in the case of parameter uncertainty is more accessible when monitoring the variance because only one parameter has to be estimated. Simply ignoring the induced uncertainty frequently…

Methodology · Statistics 2022-04-19 Sven Knoth

Ultrasonic metal welding (UMW) is widely used in industrial applications but is sensitive to tool wear, surface contamination, and material variability, which can lead to unexpected process faults and unsatisfactory weld quality.…

Machine Learning · Computer Science 2026-04-16 Ahmadreza Eslaminia , Kuan-Chieh Lu , Klara Nahrstedt , Chenhui Shao

Simultaneously monitoring changes in both the mean and variance is a fundamental problem in Statistical Process Control, and numerous methods have been developed to address it. However, many existing approaches face notable limitations:…

Methodology · Statistics 2025-09-03 Gokul Parakulum , Jun Li

Monitoring a process over time is so important in manufacturing processes to reduce the waste of money and time. Some charts as Shewhart, CUSUM, and EWMA are common to monitor a process with a single intended attribute which is used in…

For multimode processes, one generally establishes local monitoring models corresponding to local modes. However, the significant features of previous modes may be catastrophically forgotten when a monitoring model for the current mode is…

Machine Learning · Statistics 2021-05-31 Jingxin Zhang , Donghua Zhou , Maoyin Chen

With the development and popularity of sensors installed in manufacturing systems, complex data are collected during manufacturing processes, which brings challenges for traditional process control methods. This paper proposes a novel…

Machine Learning · Statistics 2024-02-01 Yanrong Li , Juan Du , Fugee Tsung , Wei Jiang

A multivariate control chart is designed to monitor process parameters of multiple correlated quality characteristics. Often data on multivariate processes are collected as individual observations, i.e. as vectors one at the time. Various…

Methodology · Statistics 2019-12-23 Jimoh Olawale Ajadi , Zezhong Wang , Inez Maria Zwetsloot

Zero-inflated models are frequently used to deal with data having many zeros. A commonly used model for over-dispersed data containing zeros is known as the zero-inflated Poisson model. However, to account for the heterogeneity of counts…

Methodology · Statistics 2025-09-04 Ali Abbas , Sajid Ali , Ismail Shah

This paper proposes Mode-Aware Probabilistic Scheduling (MAPS), a novel adaptive control framework tailored for DC motor systems experiencing varying friction. MAPS uniquely integrates an Interacting Multiple Model (IMM) estimator with a…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Taehun Kim , Guntae Kim , Cheolmin Jeong , Chang Mook Kang

Growing demands in the semiconductor industry necessitate increasingly stringent requirements on throughput and positioning accuracy of lithographic equipment. Meeting these demands involves employing highly aggressive motion profiles,…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Yorick Broens , Hans Butler , Ramidin Kamidi , Koen Verkerk , Siep Weiland

In the practical industry, the most commonly used application of statistical analysis for monitoring the process mean is the control chart. Control charts are generated based on the presumption that we have a sample from a stable process.…

Optimization and Control · Mathematics 2025-10-07 Fahad Rafique , Saadia Masood , Shabbir Ahmad , Sadaf Amin

After obtaining an accurate approximation for $ARL_0$, we first consider the optimal design of weight parameter for a multivariate EWMA chart that minimizes the stationary average delay detection time (SADDT). Comparisons with moving…

Statistics Theory · Mathematics 2022-06-24 Yanhong Wu , Wei Biao Wu