par.mFPCA

This is an internal function of package <code>FRTM</code> which allows controlling the parameters used in the mFPCA in the FRTM method.

Provides functional control charts
for statistical process monitoring of functional data,
using the methods of Capezza et al. (2020) <doi:10.1002/asmb.2507>,
Centofanti et al. (2021) <doi:10.1080/00401706.2020.1753581>,
Capezza et al. (2024) <doi:10.1080/00401706.2024.2327346>,
Capezza et al. (2024) <doi:10.1080/00224065.2024.2383674>,
Centofanti et al. (2022) <doi:10.48550/arXiv.2205.06256>.
The package is thoroughly illustrated in the paper of
Capezza et al (2023) <doi:10.1080/00224065.2023.2219012>.

Christian Capezza

funcharts

Functional Control Charts

Fabio Centofanti

Antonio Lepore

Biagio Palumbo

Alessandra Menafoglio

Simone Vantini

par.mFPCA function

<dl><dt>perc_pca</dt>
<dd>Percentage of the total variability used to select the number \(L\) of principal components.</dd>
<dt>perc_basis_x_pca</dt>
<dd>Multiplied by the maximum number of basis of the registered functions for each time point in \(\mathcal{D}_{Y}\), it is the number of basis functions of the registered functions in the mFPCA.</dd>
<dt>perc_basis_h</dt>
<dd>Multiplied by the mean number of basis of the warping functions for each time point in \(\mathcal{D}_{Y}\), it is the number of basis functions of the warping functions in the mFPCA.</dd></dl>

Arguments

Setting mixed functional principal component analysis (mFPCA) defaults — par.mFPCA

<dl>

<dt>perc_pca</dt>
<dd>Percentage of the total variability used to select the number \(L\) of principal components.</dd>


<dt>perc_basis_x_pca</dt>
<dd>Multiplied by the maximum number of basis of the registered functions for each time point in \(\mathcal{D}_{Y}\), it is the number of basis functions of the registered functions in the mFPCA.</dd>


<dt>perc_basis_h</dt>
<dd>Multiplied by the mean number of basis of the warping functions for each time point in \(\mathcal{D}_{Y}\), it is the number of basis functions of the warping functions in the mFPCA.</dd>

</dl>

par.mFPCA: Setting mixed functional principal component analysis (mFPCA) defaults

Description

Usage

Arguments

See Also

Examples