Sliced regression for dimension reduction

doi:10.1198/016214508000000418

2012-01-01

131

PRE

王汉生 (Hansheng Wang) *

Yingcun Xia

DOI：10.1198/016214508000000418

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摘要

En 中文

A new dimension-reduction method involving slicing the region of the response and applying local kernel regression to each slice is proposed. Compared with the traditional inverse regression methods [e.g., sliced inverse regression (SIR)], the new method is free of the linearity condition and has much better estimation accuracy. Compared with the direct estimation methods (e.g., MAVE), the new method is much more robust against extreme values and can capture the entire central subspace (CS) exhaustively. To determine the CS dimension, a consistent cross-validation criterion is developed. Extensive numerical studies, including a real example, confirm our theoretical findings.

Keyword:

cross-validation

earnings forecast

minimum average variance estimation

sliced inverse regression

sufficient dimension reduction