Abstract
We show that the test statistic for dimension in q-based principal Hessian directions (pHd) is distributed as a linear combination of X2 random variables. Simpler distributions can result depending on the distribution of the predictors and the adequacy of the quadratic model.
Original language | English (US) |
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Pages (from-to) | 233-243 |
Number of pages | 11 |
Journal | Statistics and Probability Letters |
Volume | 58 |
Issue number | 3 |
DOIs | |
State | Published - Jul 1 2002 |
Bibliographical note
Funding Information:This work was supported in part by National Science Foundation Grant DMS-9703777.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
Keywords
- Asymptotic distribution
- Central subspaces
- Dimension-reduction subspace
- Regression graphics
- pHd