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 is thoroughly illustrated in the
paper of Capezza et al. (2023). The package provides the methodologies
proposed in Colosimo and Pacella (2010), Capezza et al. (2020),
Centofanti et al. (2021), Capezza et al. (2024a), and Capezza et
al. (2024b). 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")
. - Capezza et al. (2024a) proposed the adaptive multivariate functional EWMA control chart.
- Capezza et al. (2024b) proposed the robust multivariate functional control chart.
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")
- Capezza C, Centofanti F, Lepore A, Menafoglio A, Palumbo B, Vantini S. (2023) funcharts: control charts for multivariate functional data in R. Journal of Quality Technology, doi:10.1080/00224065.2023.2219012
- 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, doi:10.1002/asmb.2507
- Capezza, C., Capizzi, G., Centofanti, F., Lepore, A., Palumbo, B. (2024a) An Adaptive Multivariate Functional EWMA Control Chart. Accepted for publication in Journal of Quality Technology.
- Capezza, C., Centofanti, F., Lepore, A., Palumbo, B. (2024b) Robust Multivariate Functional Control Charts. Technometrics, doi:10.1080/00401706.2024.2327346
- Centofanti F, Lepore A, Menafoglio A, Palumbo B, Vantini S. (2021) Functional Regression Control Chart. Technometrics, 63(3), 281–294. doi:10.1080/00401706.2020.1753581
- 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. doi:10.1080/00207540802662888