Nonlinear confounding in high-dimensional regression

DOI10.1214/aos/1031833665zbMath0873.62071OpenAlexW2067303501MaRDI QIDQ1359415

Ker-Chau Li

Publication date: 4 November 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1031833665

zbMATH Keywords

dimension reductionmodel uncertaintygraphicsadaptivenesssliced inverse regressionnonlinear projectionsinformation matricesFisher information lossmeasure of nonlinearitynonlinear confoundingnonlinear patternsoverlinearizationquasi-helical confoundingregression surface approximationsemi-parametrics

Mathematics Subject Classification ID

Linear inference, regression (62J99) General nonlinear regression (62J02) Diagnostics, and linear inference and regression (62J20)

Related Items

Testing predictor contributions in sufficient dimension reduction., An Adaptive Estimation of Dimension Reduction Space, Model-Free Variable Selection, On the conditional distributions of low-dimensional projections from high-dimensional data, An Inverse-regression Method of Dependent Variable Transformation for Dimension Reduction with Non-linear Confounding, Dimension reduction using the generalized gradient direction, High-dimensional regression analysis with treatment comparisons, Dimension reduction based on weighted variance estimate, Applied regression analysis bibliography update 1994-97

Uses Software

• LISP-STAT

Cites Work

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