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Softly shrunk and partially shrunk rank-reduced estimation of the regression coefficients

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Abstract

In this paper we introduce strategies how the ordinary least square estimator of the coefficient vector of the multiple regression could be shrunk. One of the strategies shrinks all components while the other shrinks only some components. We show that the proposed shrunken estimators are admissibile. We also provide theoretical results on risk comparisons.

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Wencheko, E. Softly shrunk and partially shrunk rank-reduced estimation of the regression coefficients. Statistical Papers 46, 267–279 (2005). https://doi.org/10.1007/BF02762971

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  • DOI: https://doi.org/10.1007/BF02762971

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