Two-step spline estimating equations for generalized additive partially linear models with large cluster sizes

DOI10.1214/12-AOS1056zbMath1296.62093arXiv1302.4552MaRDI QIDQ741812

Shujie Ma

Publication date: 15 September 2014

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

Full work available at URL: https://arxiv.org/abs/1302.4552

zbMATH Keywords

longitudinal datasplineclustered dataestimating equationsgeneralized additive partially linear modelsinfinite cluster sizes

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20)

Related Items (8)

Parameter estimation for a generalized semiparametric model with repeated measurements ⋮ A plug-in the number of knots selector for polynomial spline regression ⋮ Asymptotics of the Non‐parametric Function for B‐splines‐based Estimation in Partially Linear Models ⋮ A fusion learning method to subgroup analysis of Alzheimer's disease ⋮ Efficient estimation of longitudinal data additive varying coefficient regression models ⋮ Variable selection for additive model via cumulative ratios of empirical strengths total ⋮ A robust spline approach in partially linear additive models ⋮ Estimation in quantile regression models for correlated data with diverging number of covariates and large cluster sizes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Longitudinal data analysis using generalized linear models
• The existence and asymptotic properties of a backfitting projection algorithm under weak conditions
• Spline-backfitted kernel smoothing of partially linear additive model
• Optimal estimation in additive regression models
• Oracally efficient spline smoothing of nonlinear additive autoregression models with simultaneous confidence band
• Nonparametric statistics for stochastic processes. Estimation and prediction.
• Fitting a bivariate additive model by local polynomial regression
• Asymptotics for generalized estimating equations with large cluster sizes
• Local asymptotics for polynomial spline regression
• Local asymptotics for regression splines and confidence regions
• Bivariate tensor-product \(B\)-splines in a partly linear model
• Bias-corrected estimation in dynamic panel data models with heteroscedasticity
• Simultaneous variable selection and estimation in semiparametric modeling of longitudinal/clustered data
• Nonparametric estimation of an additive model with a link function
• Spline-backfitted kernel smoothing of nonlinear additive autoregression model
• Semiparametric regression for clustered data
• Efficient Estimation in Marginal Partially Linear Models for Longitudinal/Clustered Data Using Splines
• Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data
• Marginal Longitudinal Nonparametric Regression
• EFFICIENT ESTIMATION OF GENERALIZED ADDITIVE NONPARAMETRIC REGRESSION MODELS
• Nonparametric Function Estimation for Clustered Data When the Predictor is Measured without/with Error
• SPLINE-BACKFITTED KERNEL SMOOTHING OF ADDITIVE COEFFICIENT MODEL
• Equivalent kernels of smoothing splines in nonparametric regression for clustered/longitudinal data
• Efficient Semiparametric Marginal Estimation for Longitudinal/Clustered Data
• Robust Estimation in Generalized Partial Linear Models for Clustered Data
• Nonparametric Estimation of an Additive Quantile Regression Model
• A practical guide to splines.

This page was built for publication: Two-step spline estimating equations for generalized additive partially linear models with large cluster sizes