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Influence diagnostics for ridge regression based on the Kullback-Leibler divergence

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Influence diagnostics for ridge regression based on the Kullback-Leibler divergence

R fastmatrix india

Supplementary material to Influence diagnostics for ridge regression based on the Kullback-Leibler divergence by Alonso Ogueda and Felipe Osorio (Statistical Papers 66, 85. DOI: 10.1007/s00362-025-01701-1)

Code tested on R under development (2025-02-20 r87772), running Linux Mint 22.1 (64 bits)

Attached packages: fastmatrix 0.5-7721, india 0.1

CONTENTS:

  • case_study/case_Portland.R: R commands for the analysis of Portland cement dataset (described/analyzed at Section 4.2.1 from manuscript).
  • case_study/case_biomass.R: R commands for the analysis of Aerial biomass dataset (described/analyzed at Section 4.2.2 from manuscript)
  • code/GCV_influence.R: R functions to compute diagnostic measures on the ridge (shrinkage) parameter based on the GCV criterion.
  • code/KL_influence.R: R functions to compute diagnostic measures for ridge regression based on Kullback-Liebler divergence.
  • code/LD_influence.R: R function to assess the local influence based on penalized likelihood displacement.
  • code/cov_ridge.R: R function to obtain the covariance matrix (and its determinant) for the ridge estimator.
  • code/ridge_par.R: R function to carry out the shrinkage parameter selection when the i-th observation has been deleted from the dataset.
  • simulation/simul.R: R function to compute the outlier detection percentage using different influence measures.
  • simulation/oiutput.R: R commands to perform the simulation study described at Section 4.1 from manuscript.
  • data/biomass.csv: Aerial biomass production of the marsh grass Spartina alterniflora dataset, in CSV format
  • data/biomass.rda: Aerial biomass production of the marsh grass Spartina alterniflora dataset, in RDA format.
  • README.md: this file.

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