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Foundations for Envelope Models and Methods

delete2015-07-06
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OA
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R
R. Dennis Cook *
X
Xin Zhang
DOI:10.1080/01621459.2014.983235delete
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Abstract

Abstract

En 中文
Envelopes were recently proposed by Cook, Li and Chiaromonte as a method for reducing estimative and predictive variations in multivariate linear regression. We extend their formulation, proposing a general definition of an envelope and a general framework for adapting envelope methods to any estimation procedure. We apply the new envelope methods to weighted least squares, generalized linear models and Cox regression. Simulations and illustrative data analysis show the potential for envelope methods to significantly improve standard methods in linear discriminant analysis, logistic regression and Poisson regression. Supplementary materials for this article are available online.
Keywords:
Generalized linear models
Grassmannians
Weighted least squares
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Journal

J
Journal of the American Statistical Association
IF:
3
Papers:
5.1K
Citations:
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Organization

U
University of Minnesota Twin Cities
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Papers: 3.1W
Citations: 58