funcharts

The goal of funcharts is to provide control charts for the statistical process monitoring of multivariate functional data densely observed on one-dimensional intervals. The package provides the methodologies proposed in Colosimo and Pacella (2010), Capezza et al. (2020) and Centofanti et al. (2021). Moreover, this package provides a new class mfd for multivariate functional data that is a wrapper of the class fd of the package fda. See the vignette("mfd", package = "funcharts").

In particular:

• Colosimo and Pacella (2010) proposed control charts for monitoring functional data based on functional principal component analysis. vignette("colosimo2010", package = "funcharts")
• Capezza et al. (2020) proposed control charts for monitoring a scalar response variable and functional covariates using scalar-on-function regression. See the vignette("capezza2020", package = "funcharts").
• Centofanti et al. (2021) proposed the functional regression control chart, i.e. control charts for monitoring a functional response variable conditionally on multivariate functional covariates. See the vignette("centofanti2021", package = "funcharts").

Installation

You can install the CRAN version of the R package funcharts by doing:

install.packages("funcharts")

You can install the development version from GitHub with:

# install.packages("devtools")
devtools::install_github("unina-sfere/funcharts")

References

• Colosimo, BM Pacella, M. (2010) A comparison study of control charts for statistical monitoring of functional data. International Journal of Production Research, 48(6), 1575-1601. https://doi.org/10.1080/00207540802662888
• Capezza C, Lepore A, Menafoglio A, Palumbo B, Vantini S. (2020) Control charts for monitoring ship operating conditions and CO₂ emissions based on scalar-on-function regression. Applied Stochastic Models in Business and Industry, 36(3):477–500. https://doi.org/10.1002/asmb.2507
• Centofanti F, Lepore A, Menafoglio A, Palumbo B, Vantini S. (2021) Functional Regression Control Chart. Technometrics, 63(3), 281–294. https://doi.org/10.1080/00401706.2020.1753581