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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

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

Shewhart Control Charts (SCC)s are constructed under the assumption of normality and are widely recognized in statistical quality control by numerous researchers. Problems arise when the distribution of process data does not conform to a…

Applications · Statistics 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang

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

Maintaining the quality of manufactured products at a desired level is known to increase customer satisfaction and profitability. Shewhart control chart is the most widely used in statistical process control (SPC) technique to monitor the…

Other Statistics · Statistics 2018-12-31 Burak Alakent , Ece C. Mutlu

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 ($ARL_1$)…

Methodology · Statistics 2024-11-07 Takayuki Iguchi , Andrés F. Barrientos , Eric Chicken , Debajyoti Sinha

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…

Methodology · Statistics 2026-01-27 Hien Duy Nguyen , Dan Wang

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

This paper addresses the challenges of giving a causal interpretation to vector autoregressions (VARs). I show that under independence assumptions VARs can identify average treatment effects, average causal responses, or a mix of the two,…

Econometrics · Economics 2025-10-29 Raimondo Pala

Regression control charts are usually used to monitor variables of interest that are related to control variables. However, for fraction and/or proportion data, the use of standard regression control charts may not be adequate, since the…

Methodology · Statistics 2018-04-05 Fábio Mariano Bayer , Catia Michele Tondolo , Fernanda Maria Müller

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

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

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

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…

Methodology · Statistics 2013-07-30 Axel Gandy , Jan Terje Kvaløy

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

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

Technological advances allow manufacturers to collect and access data from a production system effectively. The objective of data collection is to deploy the collected data in developing decision support systems for performance evaluation,…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Nima Manafzadeh Dizbin

Control charts for zero-inflated processes have attracted the interest of the researchers in the recent years. In this work we investigate the performance of Shewhart-type charts for zero-inflated Poisson and zero-inflated Binomial…

Applications · Statistics 2024-01-22 Athanasios C. Rakitzis , Eftychia Mamzeridou , Petros E. Maravelakis

This study introduces a data-driven, machine learning-based method to detect suitable control variables and instruments for assessing the causal effect of a treatment on an outcome in observational data. Our approach tests the joint…

Econometrics · Economics 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck
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