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Generalized Ridge Regression: Applications to Nonorthogonal Linear Regression Models

Methodology 2025-04-09 v1

Abstract

This paper analyzes the possibilities of using the generalized ridge regression to mitigate multicollinearity in a multiple linear regression model. For this purpose, we obtain the expressions for the estimated variance, the coefficient of variation, the coefficient of correlation, the variance inflation factor and the condition number. The results obtained are illustrated with two numerical examples.

Keywords

Cite

@article{arxiv.2504.06171,
  title  = {Generalized Ridge Regression: Applications to Nonorthogonal Linear Regression Models},
  author = {Román Salmerón Gómez and Catalina García García and Guillermo Hortal Reina},
  journal= {arXiv preprint arXiv:2504.06171},
  year   = {2025}
}

Comments

25 pages, 7 figures, 12 tables, working paper

R2 v1 2026-06-28T22:51:04.240Z