Generalized Ridge Regression: Applications to Nonorthogonal Linear Regression Models

Fuente: arXiv
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Autori principali: Gómez, Román Salmerón, García, Catalina García, Reina, Guillermo Hortal
Natura: Preprint
Pubblicazione: 2025
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author Gómez, Román Salmerón
García, Catalina García
Reina, Guillermo Hortal
author_facet Gómez, Román Salmerón
García, Catalina García
Reina, Guillermo Hortal
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_06171
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized Ridge Regression: Applications to Nonorthogonal Linear Regression Models
Gómez, Román Salmerón
García, Catalina García
Reina, Guillermo Hortal
Methodology
62J05
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.
title Generalized Ridge Regression: Applications to Nonorthogonal Linear Regression Models
topic Methodology
62J05
url https://arxiv.org/abs/2504.06171