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One of the significant challenges in monitoring the quality of products today is the high dimensionality of quality characteristics. In this paper, we address Phase I analysis of high-dimensional processes with individual observations when…

Methodology · Statistics 2023-01-02 Mohsen Ebadi , Shojaeddin Chenouri , Stefan H. Steiner

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

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…

Methodology · Statistics 2024-01-23 Christian H. Weiß

Thanks to high-tech measurement systems like sensors, data are often collected with high frequency in modern industrial processes. This phenomenon could potentially produce autocorrelated and cross-correlated measurements. It has been shown…

Methodology · Statistics 2025-01-22 Adel Ahmadi Nadi , Giovanni Celano , Stefan Steiner

In preliminary analysis of control charts, one may encounter multiple shifts and/or outliers especially with a large number of observations. The following paper addresses this problem. A statistical model for detecting and estimating…

Applications · Statistics 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

Industrial applications often exhibit multiple in-control patterns due to varying operating conditions, which makes a single functional linear model (FLM) inadequate to capture the complexity of the true relationship between a functional…

Methodology · Statistics 2024-10-29 Christian Capezza , Fabio Centofanti , Davide Forcina , Antonio Lepore , Biagio Palumbo

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

In modern industrial settings, advanced acquisition systems allow for the collection of data in the form of profiles, that is, as functional relationships linking responses to explanatory variables. In this context, statistical process…

Methodology · Statistics 2025-10-30 Fabio Centofanti

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…

Econometrics · Economics 2021-06-01 Axel A. Araneda

Monitoring multichannel profiles has important applications in manufacturing systems improvement, but it is non-trivial to develop efficient statistical methods due to two main challenges. First, profiles are high-dimensional functional…

Applications · Statistics 2016-03-18 Yuan Wang , Kamran Paynabar , Yajun Mei

Monitoring of project performance is a crucial task of project managers that significantly affect the project success or failure. Earned Value Management (EVM) is a well-known tool to evaluate project performance and effective technique for…

Applications · Statistics 2019-12-20 Nooshin Yousefi , Ahmad Sobhani , Leila Moslemi Naeni , Kenneth R. Currie

In practice, there are processes where the in-control mean and standard deviation of a quality characteristic is not stable. In such cases, the coefficient of variation (CV) is a more appropriate measure for assessing process stability. In…

Applications · Statistics 2020-01-22 P. H. Tran , A. C. Rakitzis , H. D. Nguyen , Q. T. Nguyen , K. P. Tran , C. Heuchenne

In the semiconductor manufacturing batch processes, each step is a complicated physiochemical batch process; generally it is difficult to perform measurements online or carry out the measurement for each run, and hence there will be delays…

Systems and Control · Computer Science 2015-11-02 Bing Ai , David Shan-Hill Wong , Shi-Shang Jang

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…

Methodology · Statistics 2022-03-08 Li-Pang Chen , Su-Fen Yang

To maintain the desired quality of a product or service it is necessary to monitor the process that results in the product or service. This monitoring method is called Statistical Process Management, or Statistical Process Control. It is in…

Methodology · Statistics 2019-01-15 W. J. Conover , Victor G. Tercero , Alvaro E. Cordero-Franco

The traditional variable control charts, such as the X-bar chart, are widely used to monitor variation in a process. They have been shown to perform well for monitoring processes under the general assumptions that the observations are…

Methodology · Statistics 2022-12-22 Chanseok Park , Linhan Ouyang , Min Wang

In modern Industry 4.0 applications, a huge amount of data is acquired during manufacturing processes that are often contaminated with anomalous observations in the form of both casewise and cellwise outliers. These can seriously reduce the…

Applications · Statistics 2024-04-17 Christian Capezza , Fabio Centofanti , Antonio Lepore , Biagio Palumbo

Early detection of changes in the frequency of events is an important task, in, for example, disease surveillance, monitoring of high-quality processes, reliability monitoring and public health. In this article, we focus on detecting…

Applications · Statistics 2021-07-27 Inez Maria Zwetsloot , Tahir Mahmood , Funmilola Mary Taiwo , Zezhong Wang

We propose a new sequential monitoring scheme for changes in the parameters of a multivariate time series. In contrast to procedures proposed in the literature which compare an estimator from the training sample with an estimator calculated…

Statistics Theory · Mathematics 2020-07-28 Josua Gösmann , Tobias Kley , Holger Dette

In this article an SPC case study is presented. It consists of monitoring a manufacturing process used for different products of similar kind. So far, each of these products is monitored individually. However, if there is e.g. a quality…

Applications · Statistics 2018-01-08 Thomas Muehlenstaedt