Gaussian Kernel Robust Regression (GKRReg)
Implements the Gaussian Kernel Robust Regression (GKRReg / GKRR)
method proposed by De Carvalho, Lima Neto and Ferreira (2017)
. The method re-weights observations
iteratively using the Gaussian kernel so that poorly-fitted observations
(outliers, leverage points) receive small weights, yielding resistance to
Y-space outliers, X-space outliers and leverage points. Convergence is
guaranteed by Propositions 4.1 and 4.2 of the original paper. Three
estimators for the kernel width hyper-parameter are provided (S1: Caputo,
S2: pairwise median, S3: residual variance). Inference is provided via an
analytic sandwich variance estimator (default) or via bootstrap
(percentile, normal and BCa intervals with p-values) through gkrr_boot().
Six real datasets from the robust regression literature are included to
facilitate reproducible comparisons.