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Title: Nearest neighbor inverse regression
Authors: Hsing, T. 
Keywords: Central limit theorem
Dimension reduction
Nonparametric regression
Sliced inverse regression
Issue Date: Apr-1999
Citation: Hsing, T. (1999-04). Nearest neighbor inverse regression. Annals of Statistics 27 (2) : 697-731. ScholarBank@NUS Repository.
Abstract: Sliced inverse regression (SIR), formally introduced by Li, is a very general procedure for performing dimension reduction in nonparametric regression. This paper considers a version of SIR in which the "slices" are determined by nearest neighbors and the response variable takes value possibly in a multidimensional space. It is shown, under general conditions, that the "effective dimension reduction space" can be estimated with rate n-1/2 where n is the sample size.
Source Title: Annals of Statistics
ISSN: 00905364
Appears in Collections:Staff Publications

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