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Modern statistical process monitoring (SPM) applications focus on profile monitoring, i.e., the monitoring of process quality characteristics that can be modeled as profiles, also known as functional data. Despite the large interest in the…

Functional data analysis (FDA) is a statistical framework that allows for the analysis of curves, images, or functions on higher dimensional domains. The goals of FDA, such as descriptive analyses, classification, and regression, are…

Methodology · Statistics 2023-12-12 Jan Gertheiss , David Rügamer , Bernard X. W. Liew , Sonja Greven

With the rise of Industry 4.0, huge amounts of data are now generated that are apt to be modelled as functional data. In this setting, standard profile monitoring methods aim to assess the stability over time of a completely observed…

Applications · Statistics 2022-05-13 Fabio Centofanti , Antonio Lepore , Murat Kulahci , Max Peter Spooner

As high-dimensional and high-frequency data are being collected on a large scale, the development of new statistical models is being pushed forward. Functional data analysis provides the required statistical methods to deal with large-scale…

Statistics Theory · Mathematics 2020-07-08 Israel Martínez-Hernández , Marc G. Genton

It has been 100 years since statistical process control (SPC) or statistical process monitoring (SPM) was first introduced for production processes and later applied to service, healthcare, and other industries. The techniques applied to…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Shing I Chang , Parviz Ghafariasl

Monitoring the behavior of automated real-time stream processing systems has become one of the most relevant problems in real world applications. Such systems have grown in complexity relying heavily on high dimensional input data, and data…

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

Many real-world applications involve analyzing time-dependent phenomena, which are intrinsically functional, consisting of curves varying over a continuum (e.g., time). When analyzing continuous data, functional data analysis (FDA) provides…

Human-Computer Interaction · Computer Science 2023-06-19 Fnu Shilpika , Takanori Fujiwara , Naohisa Sakamoto , Jorji Nonaka , Kwan-Liu Ma

Structural Health Monitoring (SHM) is increasingly used in civil engineering. One of its main purposes is to detect and assess changes in infrastructure conditions to reduce possible maintenance downtime and increase safety. Ideally, this…

Applications · Statistics 2024-06-04 Philipp Wittenberg , Sven Knoth , Jan Gertheiss

Dynamic statistical process monitoring methods have been widely studied and applied in modern industrial processes. These methods aim to extract the most predictable temporal information and develop the corresponding dynamic monitoring…

Methodology · Statistics 2022-11-10 Wei Fan , Qinqin Zhu , Shaojun Ren , Liang Zhang , Fengqi Si

Structural Health Monitoring (SHM) is increasingly applied in civil engineering. One of its primary purposes is detecting and assessing changes in structure conditions to increase safety and reduce potential maintenance downtime. Recent…

Applications · Statistics 2025-09-23 Philipp Wittenberg , Lizzie Neumann , Alexander Mendler , Jan Gertheiss

With the advance of modern technology, more and more data are being recorded continuously during a time interval or intermittently at several discrete time points. They are both examples of "functional data", which have become a prevailing…

Methodology · Statistics 2015-07-21 Jane-Ling Wang , Jeng-Min Chiou , Hans-Georg Mueller

Traditional Statistical Process Control (SPC) is essential for quality management but is limited by its reliance on often violated statistical assumptions, leading to unreliable monitoring in modern, complex manufacturing environments. This…

Machine Learning · Computer Science 2025-12-30 Christopher Burger

Stochastic Process Model has many applications in analysis of longitudinal biodemographic data. Such data contain various physiological variables (sometimes known as covariates). It also can potentially contain genetic information available…

Populations and Evolution · Quantitative Biology 2016-05-31 Ilya Zhbannikov , Konstantin Arbeev , Anatoliy Yashin

The continuous advances in data collection and storage techniques allow us to observe and record real-life processes in great detail. Examples include financial transaction data, fMRI images, satellite photos, earths pollution distribution…

Methodology · Statistics 2015-02-26 Łukasz Kidziński

Functional Data Analysis (FDA) is an extension of traditional data analysis to functional data, for example spectra, temporal series, spatio-temporal images, gesture recognition data, etc. Functional data are rarely known in practice;…

Neural and Evolutionary Computing · Computer Science 2007-09-25 Fabrice Rossi , Nicolas Delannay , Brieuc Conan-Guez , Michel Verleysen

Statistical process monitoring (SPM) methods are essential tools in quality management to check the stability of industrial processes, i.e., to dynamically classify the process state as in control (IC), under normal operating conditions, or…

Machine Learning · Statistics 2024-11-20 Christian Capezza , Antonio Lepore , Kamran Paynabar

Structural Health Monitoring (SHM) plays a pivotal role in modern civil engineering, providing critical insights into the health and integrity of infrastructure systems. This work presents a novel multivariate long-term profile monitoring…

Applications · Statistics 2025-06-26 Philipp Wittenberg , Alexander Mendler , Sven Knoth , Jan Gertheiss

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

Prompted by modern technologies in data acquisition, the statistical analysis of spatially distributed function-valued quantities has attracted a lot of attention in recent years. In particular, combinations of functional variables and…

Methodology · Statistics 2023-07-12 Matthias Eckardt , Carles Comas , Jorge Mateu
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