English

The Efficient Shrinkage Path: Maximum Likelihood of Minimum MSE Risk

Methodology 2024-02-19 v5 Computation Machine Learning

Abstract

A new generalized ridge regression shrinkage path is proposed that is as short as possible under the restriction that it must pass through the vector of regression coefficient estimators that make the overall Optimal Variance-Bias Trade-Off under Normal distribution-theory. Five distinct types of ridge TRACE displays plus other graphics for this efficient path are motivated and illustrated here. These visualizations provide invaluable data-analytic insights and improved self-confidence to researchers and data scientists fitting linear models to ill-conditioned (confounded) data.

Keywords

Cite

@article{arxiv.2103.05161,
  title  = {The Efficient Shrinkage Path: Maximum Likelihood of Minimum MSE Risk},
  author = {Robert L. Obenchain},
  journal= {arXiv preprint arXiv:2103.05161},
  year   = {2024}
}

Comments

22 pages, 9 figures, 2 tables. arXiv admin note: substantial text overlap with withdrawn arXiv:2005.14291

R2 v1 2026-06-23T23:54:10.173Z