Series expansion for functional sufficient dimension reduction

DOI10.1016/j.jmva.2013.10.019zbMath1278.62055OpenAlexW2032262284MaRDI QIDQ392062

Heng Lian, Gao Rong Li

Publication date: 13 January 2014

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2013.10.019

zbMATH Keywords

polynomial splinesfunctional principal component analysissliced average variance estimationsliced inverse regression

Mathematics Subject Classification ID

Related Items (22)

Dimension reduction for functional data based on weak conditional moments ⋮ Dimension reduction in functional regression with categorical predictor ⋮ Weight fused functional sliced average variance estimation ⋮ Penalized scalar-on-functions regression with interaction term ⋮ Functional sufficient dimension reduction based on weighted method ⋮ Estimation for a hybrid model of functional and linear measurement errors regression with missing response ⋮ Robust shrinkage estimation and selection for functional multiple linear model through LAD loss ⋮ The hybrid method of FSIR and FSAVE for functional effective dimension reduction ⋮ Testing symmetry of model errors for nonparametric regression models by using correlation coefficient¹ ⋮ On the single-index model estimate of the conditional density function: consistency and implementation ⋮ Functional dimension reduction based on fuzzy partition and transformation ⋮ Functional sufficient dimension reduction: convergence rates and multiple functional case ⋮ Automatic variable selection for partially linear functional additive model and its application to the Tecator data set ⋮ Empirical likelihood inference for partial functional linear model with missing responses ⋮ Robust functional sliced inverse regression ⋮ Optimal rate for covariance operator estimators of functional autoregressive processes with random coefficients ⋮ Functional Partial Linear Single‐index Model ⋮ On double-index dimension reduction for partially functional data ⋮ Dimension reduction for functional regression with a binary response ⋮ Functional sufficient dimension reduction for functional data classification ⋮ Skew-normal partial functional linear model and homogeneity test ⋮ Smoothed average variance estimation for dimension reduction with functional data

Uses Software

• fda (R)
• edrGraphicalTools

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• Comment

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