Asymptotic distributions for testing dimensionality in \(q\)-based pHd.

DOI10.1016/S0167-7152(02)00092-5zbMath1045.62012MaRDI QIDQ1871226

R. Dennis Cook, Xiangrong Yin

Publication date: 7 May 2003

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Central subspacesDimension-reduction subspacepHdRegression graphics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) General nonlinear regression (62J02)

Cites Work

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• On almost linearity of low dimensional projections from high dimensional data
• The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis
• Dimension reduction for conditional mean in regression
• Corrections to test statistics in principal Hessian directions
• Asymptotics of graphical projection pursuit
• Principal Hessian Directions Revisited
• Vec and vech operators for matrices, with some uses in jacobians and multivariate statistics
• On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma
• Reweighting to Achieve Elliptically Contoured Covariates in Regression
• A Systematic Approach to the Analysis of Complex Interaction Patterns in Two-Level Factorial Designs