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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

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

Monitoring the quality of statistical processes has been of great importance, mostly in industrial applications. Control charts are widely used for this purpose, but often lack the possibility to monitor survival outcomes. Recently,…

Applications · Statistics 2024-06-19 Daniel Gomon , Marta Fiocco , Hein Putter , Mirko Signorelli

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

New data acquisition technologies allow one to gather huge amounts of data that are best represented as functional data. In this setting, profile monitoring assesses the stability over time of both univariate and multivariate functional…

Methodology · Statistics 2025-04-15 Fabio Centofanti , Antonio Lepore , Biagio Palumbo

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

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

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

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…

Functional data analysis has become a tool of interest in applied areas such as economics, medicine, and chemistry. Among the techniques developed in recent literature, functional semiparametric regression stands out for its balance between…

Methodology · Statistics 2024-05-24 Silvia Novo , Germán Aneiros

This paper introduces the funData R package as an object-oriented implementation of functional data. It implements a unified framework for dense univariate and multivariate functional data on one- and higher dimensional domains as well as…

Computation · Statistics 2021-01-01 Clara Happ

Most statistical process monitoring methods for multichannel profiles focus solely on the mean and are almost ineffective when changes involve the covariance structure. Although it is known to be crucial, covariance monitoring requires…

Methodology · Statistics 2026-03-06 Christian Capezza , Davide Forcina , Antonio Lepore , Biagio Palumbo

The numerical availability of statistical inference methods for a modern and robust analysis of longitudinal- and multivariate data in factorial experiments is an essential element in research and education. While existing approaches that…

Computation · Statistics 2018-01-25 Sarah Friedrich , Frank Konietschke , Markus Pauly

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

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

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

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

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

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

1. Advances in tracking technology have led to an exponential increase in animal location data, greatly enhancing our ability to address interesting questions in movement ecology, but also presenting new challenges related to data manage-…

Quantitative Methods · Quantitative Biology 2018-05-10 Johannes Signer , John Fieberg , Tal Avgar
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