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Maximum likelihood ridge displays
Authors:Robert L. Obenchain
Affiliation:Bell Laboratories , Holrndel, New Jersey, 07733
Abstract:
I illustrate likelihood methods for estimating the consequences of shrinkage along any ridge path as well as methods for picking a two-hyperparameter path of optimal curvature and the optimal point on that path. In addition to my published "classical" methods, I also illustrate both the empirical Bayes and the random coefficient maximum likelihood approaches. Traces of risks for known parameters and losses for simulated responses are followed by traces of estimates that can reveal the same general information.
Keywords:fixed coefficients  empirical Bayes  random coefficients  two-hyperparameter ridge family  multicollinearity allowance axis  true risks  simulated losses
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