Sufficient Dimension Reduction and Graphics in Regression |
| |
Authors: | Francesca Chiaromonte R Dennis Cook |
| |
Institution: | (1) Department of Statistics, Pennsylvania State University, 411 Thomas Building, University Park, PA, 16802-2111, U.S.A;(2) Department of Applied Statistics, School of Statistics, University of Minnesota, 352 Classroom-Office Building, 1994 Buford Avenue, St. Paul, MN 55108-6042, U.S.A |
| |
Abstract: | In this article, we review, consolidate and extend a theory for sufficient dimension reduction in regression settings. This theory provides a powerful context for the construction, characterization and interpretation of low-dimensional displays of the data, and allows us to turn graphics into a consistent and theoretically motivated methodological body. In this spirit, we propose an iterative graphical procedure for estimating the meta-parameter which lies at the core of sufficient dimension reduction; namely, the central dimension-reduction subspace. |
| |
Keywords: | Sufficient dimension reduction graphical displays regression analysis |
本文献已被 SpringerLink 等数据库收录! |
|