Computes robust estimators for the PFC model
This repo holds a package in R that compute robust estimators for the sufficient dimension reduction problem. It estimates the parameters of the Principal Fitted Components (PFC) model, using tau estimators that can resist the presence of outliers. We focus on the reduction subspace estimation. As PFC model and multivariate reduced-rank regression are closely related, our proposal can also be used in the estimation of this model. The package also hold a routine to perform classical estimation (MLE), as proposed by Cook and Forzani (2008). We further propose a cross validation procedure to select the dimension of the subspace.
The complete description and theoretical aspects of the robust estimation technique proposed can be found in Bergesio, A., Szretter Noste, M.E. and Yohai, V.J., "A robust proposal of estimation for the sufficient dimension reduction problem".
You can install pkgreviewr from GitHub with:
# install.packages("devtools")
devtools::install_github("meszre/tauPFC")
Homepage https://meszre.github.io/tauPFC/
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