A non stochastic ridge regression estimator and comparison with the James-Stein estimator

作者:Firinguetti Luis*; Rubio Hernan; Chaubey Yogendra P
来源:Communications in Statistics - Theory and Methods, 2016, 45(8): 2298-2310.
DOI:10.1080/03610926.2013.879892

摘要

This article presents a non-stochastic version of the Generalized Ridge Regression estimator that arises from a discussion of the properties of a Generalized Ridge Regression estimator whose shrinkage parameters are found to be close to their upper bounds. The resulting estimator takes the form of a shrinkage estimator that is superior to both the Ordinary Least Squares estimator and the James-Stein estimator under certain conditions. A numerical study is provided to investigate the range of signal to noise ratio under which the new estimator dominates the James-Stein estimator with respect to the prediction mean square error.

  • 出版日期2016

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