Statistical Models in S
A faster algorithm for ridge regression of reduced rank data
Computational Statistics & Data Analysis
Ridge regression in two-parameter solution: Research Articles
Applied Stochastic Models in Business and Industry
PCA and SVD with nonnegative loadings
Pattern Recognition
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Hi-index | 0.98 |
A generalization of the one-parameter ridge regression to a two-parameter model and its asymptotic behavior, which has various better fitting characteristics, is considered. For the two-parameter model, the coefficients of regression, their t-statistics and net effects, the residual variance and coefficient of multiple determination, the characteristics of bias, efficiency, and generalized cross-validation are very stable and as the ridge parameter increases they eventually reach asymptotic levels. In particular, the beta coefficients of multiple two-parameter ridge regression models converge to a solution proportional to the coefficients of paired regressions. The suggested technique produces robust regression models not prone to multicollinearity, with interpretable coefficients and other characteristics convenient for analysis of the models.