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Most statistical process control programmes in healthcare focus on surveillance of outcomes at the final stage of a procedure, such as mortality or failure rates. Such an approach ignores the multi-stage nature of these procedures, in which…

Methodology · Statistics 2020-06-29 Doaa Ayad , Nokuthaba Sibanda

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…

In many modern industrial scenarios, the measurements of the quality characteristics of interest are often required to be represented as functional data or profiles. This motivates the growing interest in extending traditional univariate…

Monitoring binomial proportions across multiple independent streams is a critical challenge in Statistical Process Control (SPC), with applications from manufacturing to cybersecurity. While EWMA charts offer sensitivity to small shifts,…

Machine Learning · Statistics 2026-04-15 Faruk Muritala , Austin Brown , Dhrubajyoti Ghosh , Sherry Ni

A multivariate dispersion control chart monitors changes in the process variability of multiple correlated quality characteristics. In this article, we investigate and compare the performance of charts designed to monitor variability based…

Methodology · Statistics 2019-06-20 Jimoh Olawale Ajadi , Inez Maria Zwetsloot

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 data collecting methods and computation tools have made it possible to monitor high-dimensional processes. In this article, Phase II monitoring of high-dimensional processes is investigated when the available number of samples…

Methodology · Statistics 2023-01-24 Mohsen Ebadi , Shojaeddin Chenouri , Stefan H. Steiner

In recent years, the monitoring of compositional data using control charts has been investigated in the Statistical Process Control field. In this study, we will design a Phase II Multivariate Exponentially Weighted Moving Average (MEWMA)…

Applications · Statistics 2022-03-30 Thi Thuy Van Nguyen , Cédric Heuchenne , Kim Phuc Tran

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

Multivariate Exponentially Weighted Moving Average, MEWMA, charts are popular, handy and effective procedures to detect distributional changes in a stream of multivariate data. For doing appropriate performance analysis, dealing with the…

Methodology · Statistics 2021-01-12 Sven Knoth

Monitoring the ratio of two normal random variables plays an important role in several manufacturing environments. For short production runs, however, the control charts assumed infinite processes cannot function effectively to detect…

Applications · Statistics 2020-10-06 K. D. Tran , Q. U. A Khaliq , A. A. Nadi , H Tran , K. P. Tran

The Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) control charts have been used in profile monitoring to track drift shifts that occur in a monitored process. We construct Bayesian EWMA and Bayesian CUSUM charts…

Methodology · Statistics 2020-07-21 Chelsea Mitchell , Abdel-Salam Abdel-Salam , D'Arcy Mays

This paper develops a new multivariate control charting method for vector autocorrelated and serially correlated processes. The main idea is to propose a Bayesian multivariate local level model, which is a generalization of the…

Methodology · Statistics 2008-02-05 K. Triantafyllopoulos

During the recent years there was an increased interest in studying the performance of different types of control charts, under various distributional models for continuous proportions, such as percentages and rates. In this work we…

Methodology · Statistics 2025-02-05 Athanasios C. Rakitzis

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

Many extensions and modifications have been made to standard process monitoring methods such as the exponentially weighted moving average (EWMA) chart and the cumulative sum (CUSUM) chart. In addition, new schemes have been proposed based…

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

This paper presents the exact mathematical derivation of the mean and variance properties for the Exponentially Weighted Moving Average (EWMA) statistic applied to binomial proportion monitoring in Multiple Stream Processes (MSPs). We…

Methodology · Statistics 2026-01-16 Faruk Muritala , Austin Brown , Dhrubajyoti Ghosh , Sherry Ni

In statistical process control Weibull distribution can be used to model the time between events or failures (TBE) in a process with increasing decreasing or constant failure rates. Specifically it helps in monitoring processes where the…

Applications · Statistics 2025-08-11 Tanuja Negi

Woodall and Montgomery [35] in a discussion paper, state that multivariate process control is one of the most rapidly developing sections of statistical process control. Nowadays, in industry, there are many situations in which the…

Applications · Statistics 2009-01-20 S. Bersimis , J. Panaretos , S. Psarakis
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