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In Statistical Process Control, control charts are often used to detect undesirable behavior of sequentially observed quality characteristics. Designing a control chart with desirably low False Alarm Rate (FAR) and detection delay ($ARL_1$)…

统计方法学 · 统计学 2024-11-07 Takayuki Iguchi , Andrés F. Barrientos , Eric Chicken , Debajyoti Sinha

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,…

机器学习 · 统计学 2026-04-15 Faruk Muritala , Austin Brown , Dhrubajyoti Ghosh , Sherry Ni

To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

统计方法学 · 统计学 2013-07-30 Axel Gandy , Jan Terje Kvaløy

We study statistical process control (SPC) through charting of $p$-values. When in control (IC), any valid sequence $(P_{t})_{t}$ is super-uniform, a requirement that can hold in nonparametric and two-phase designs without parametric…

统计方法学 · 统计学 2026-01-27 Hien Duy Nguyen , Dan Wang

In statistical process control, procedures are applied that require relatively strict conditions for their use. If such assumptions are violated, these methods become inefficient, leading to increased incidence of false signals. Therefore,…

其他统计学 · 统计学 2019-01-15 Gejza Dohnal

Control charts are important tools to monitor quality of products. One of useful applications is to monitor the proportion of non-conforming products. However, in practical applications, measurement error is ubiquitous and may occur due to…

统计方法学 · 统计学 2022-03-08 Li-Pang Chen , Su-Fen Yang

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…

统计理论 · 数学 2022-06-24 Yanhong Wu , Wei Biao Wu

A scope in quality control, which has recently received a great deal of attention is profile that characterizes the quality of a product or process by a relationship between two or more variables. In this paper, we propose an EWMA chart for…

应用统计 · 统计学 2019-11-12 Seyed Nasser Moosavi , Mohammad Saleh Owlia , Ashkan Khalifeh

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)…

应用统计 · 统计学 2022-03-30 Thi Thuy Van Nguyen , Cédric Heuchenne , Kim Phuc Tran

In this note, we revisit the $g$ and $h$ control charts that are commonly used for monitoring the number of conforming cases between the two consecutive appearances of nonconformities. It is known that the process parameter of these charts…

应用统计 · 统计学 2021-01-25 Chanseok Park , Min Wang

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…

统计方法学 · 统计学 2020-07-21 Chelsea Mitchell , Abdel-Salam Abdel-Salam , D'Arcy Mays

We address the problem of online change detection in multivariate datastreams, and we introduce QuantTree Exponentially Weighted Moving Average (QT-EWMA), a nonparametric change-detection algorithm that can control the expected time before…

机器学习 · 计算机科学 2022-09-01 Luca Frittoli , Diego Carrera , Giacomo Boracchi

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…

应用统计 · 统计学 2025-08-11 Tanuja Negi

The classic N p chart gives a signal if the number of successes in a sequence of inde- pendent binary variables exceeds a control limit. Motivated by engineering applications in industrial image processing and, to some extent, financial…

统计方法学 · 统计学 2010-01-13 Ansgar Steland , Ewaryst Rafalowicz

So far, problems of intermittent fault (IF) detection and detectability have not been fully investigated in the multivariate statistics framework. The characteristics of IFs are small magnitudes and short durations, and consequently…

系统与控制 · 电气工程与系统科学 2020-08-10 Yinghong Zhao , Xiao He , Michael G. Pecht , Junfeng Zhang , Donghua Zhou

The exponentially weighted moving average (EMWA) could be labeled as a competitive volatility estimator, where its main strength relies on computation simplicity, especially in a multi-asset scenario, due to dependency only on the decay…

计量经济学 · 经济学 2021-06-01 Axel A. Araneda

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

概率论 · 数学 2020-06-16 Xinjia Chen

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…

统计方法学 · 统计学 2020-06-29 Doaa Ayad , Nokuthaba Sibanda

The monitoring of serially independent or autocorrelated count processes is considered, having a Poisson or (negative) binomial marginal distribution under in-control conditions. Utilizing the corresponding Stein identities, exponentially…

统计方法学 · 统计学 2024-01-23 Christian H. Weiß

In many industrial manufacturing processes, the quality of products depends on the relation between two main ingredients or characteristics. Often, this calls for monitoring the ratio of two normal random variables with statistical process…

应用统计 · 统计学 2021-08-12 H. D. Nguyen , A. Ahmadi Nadi , K. P. Tran , P. Castagliola , G. Celano , K. D. Tran
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