On Partial Sufficient Dimension Reduction With Applications to Partially Linear Multi-Index Models

DOI10.1080/01621459.2012.746065OpenAlexW2051037695MaRDI QIDQ4916943

Zhou Yu, Zhenghui Feng, Xuerong Meggie Wen, Li Xing Zhu

Publication date: 26 April 2013

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01621459.2012.746065

zbMATH Keywords

partially linear modelpartial central subspacepartial discretization-expectation estimation

Mathematics Subject Classification ID

Statistics (62-XX)

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Cites Work

• Unnamed Item
• On model-free conditional coordinate tests for regressions
• Coordinate-independent sparse sufficient dimension reduction and variable selection
• The EFM approach for single-index models
• Dimension reduction based on constrained canonical correlation and variable filtering
• Asymptotics for sliced average variance estimation
• Partial central subspace and sliced average variance estimation
• Dimension reduction for nonelliptically distributed predictors
• Hedonic housing prices and the demand for clean air
• Dimension reduction for the conditional mean in regressions with categorical predictors
• Asymptotics for kernel estimate of sliced inverse regression
• Sufficient dimension reduction in regressions with categorical predictors
• Optimal sufficient dimension reduction in regressions with categorical predictors
• Semi-parametric estimation of partially linear single-index models
• Nonparametric Monte Carlo tests and their applications.
• Nonparametric checks for single-index models
• On a Projective Resampling Method for Dimension Reduction With Multivariate Responses
• Approximation Theorems of Mathematical Statistics
• Sufficient dimension reduction through discretization-expectation estimation
• On Directional Regression for Dimension Reduction
• Extending Sliced Inverse Regression
• Penalized Spline Estimation for Partially Linear Single-Index Models
• Groupwise Dimension Reduction
• Covariate Adjusted Correlation Analysis via Varying Coefficient Models
• On Sliced Inverse Regression With High-Dimensional Covariates