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A Note on the Invariance Law for Surrogate Dimension Reduction
Authors:Xiangrong Yin  Bing Li
Affiliation:1. Department of Statistics , University of Georgia , Athens, Georgia, USA xryin@stat.uga.edu;3. Department of Statistics , The Pennsylvania State University , University Park, Pennsylvania, USA
Abstract:
In this article, we give an alternative and much shorter proof for the invariance law of surrogate dimension reduction for measurement error regression that was established by Li and Yin (2007 Li , B. , Yin , X. ( 2007 ). On surrogate dimension reduction for measurement error regression: an invariance law . Ann. Statist. 35 : 2143 – 2172 . [Google Scholar]).
Keywords:Central spaces  Central mean space  Invariance  Measurement error
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