Can I read The Raise Regression: Justification, properties and application on EtoBox?

The Raise Regression: Justification, properties and application by Gómez, Román Salmerón; García, Catalina García; Pérez, José García is a scholarly article available to read on EtoBox.

What is The Raise Regression: Justification, properties and application about?

Multicollinearity produces an inflation in the variance of the Ordinary Least Squares estimators due to the correlation between two or more independent variables (including the constant term). A widely applied solution is to estimate with penalized estimators (such as the ridge estimator, the Liu estimator, etc.) which exchange the mean square error by the bias. Although the variance diminishes with these procedures, all seems to indicate that the inference is lost and also the goodness of fit. Alternatively, the raise regression (\cite{Garcia2011} and \cite{Salmeron2017}) allows the mitigation of the problems generated by multicollinearity but without losing the inference and keeping the coefficient of determination. This paper completely formalizes the raise estimator summarizing all the previous contributions: its mean square error, the variance inflation factor, the condition number, the adequate selection of the variable to be raised, the successive raising and the relation between the raise and the ridge estimator. As a novelty, it is also presented the estimation method, the relation between the raise and the residualization, it is analyzed the norm of the estimator and the

Author

Gómez, Román Salmerón; García, Catalina García; Pérez, José García

Published

2021

Language

EN