The Jensen effect and functional single index models: estimating the ecological implications of nonlinear reaction norms

DOI10.1214/20-AOAS1349zbMath1470.62172arXiv1901.01864MaRDI QIDQ2044256

Giles Hooker, Zi Ye, Stephen P. Ellner

Publication date: 4 August 2021

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

Full work available at URL: https://arxiv.org/abs/1901.01864

zbMATH Keywords

functional data analysissingle index modelsizerreaction normJensen effect

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Functional data analysis (62R10) Applications of statistics to environmental and related topics (62P12)

Related Items

Generalized single index models and Jensen effects on reproduction and survival

Uses Software

• SemiPar
• SiZer
• SiZer

Cites Work

• Single and multiple index functional regression models with nonparametric link
• Semiparametric least squares (SLS) and weighted SLS estimation of single-index models
• Multispecies competition in variable environments
• General theory of competitive coexistence in spatially-varying environments.
• Direct estimation of the index coefficient in a single-index model
• Optimal smoothing in single-index models
• SiZer for smoothing splines
• Functional Data Analysis with R and MATLAB
• Sliced Inverse Regression for Dimension Reduction
• Semiparametric Regression
• SiZer for Exploration of Structures in Curves
• Estimation and inference in functional single-index models