5 papers
Generalized Ridge Regression: Applications to Nonorthogonal Linear Regression Models
Román Salmerón Gómez, Catalina GarcÃa GarcÃa, Guillermo Hortal Reina
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…
Stepwise regression revisited
Román Salmerón Gómez, Catalina GarcÃa GarcÃa
This paper shows that the degree of approximate multicollinearity in a linear regression model increases simply by including independent variables, even if these are not highly lin…
Unraveling Residualization: enhancing its application and exposing its relationship with the FWL theorem
Catalina GarcÃa GarcÃa, Román Salmerón Gómez, Claudia GarcÃa GarcÃa
The residualization procedure has been applied in many different fields to estimate models with multicollinearity. However, there exists a lack of understanding of this methodology…
Generalized Ridge Regression: Biased Estimation for Multiple Linear Regression Models
Román Salmerón Gómez, Catalina GarcÃa GarcÃa, Guillermo Hortal Reina
When the regressors of a econometric linear model are nonorthogonal, it is well known that their estimation by ordinary least squares can present various problems that discourage t…
Estimation of ill-conditioned models using penalized sums of squares of the residuals
Román Salmerón Gómez, Catalina B. GarcÃa GarcÃa
This paper analyzes the estimation of econometric models by penalizing the sum of squares of the residuals with a factor that makes the model estimates approximate those that would…