Oracally efficient estimation and simultaneous inference in partially linear single-index models for longitudinal data

DOI10.1214/20-EJS1723zbMath1445.62111MaRDI QIDQ2192307

Li Cai, Lei Jin, Suojin Wang

Publication date: 17 August 2020

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1593569023

zbMATH Keywords

longitudinal datapartially linear single-index modellocal linear smoothingoracle efficiencysimultaneous confidence band (SCB)

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Nonparametric tolerance and confidence regions (62G15)

Related Items

Inferences for extended partially linear single-index models ⋮ Simultaneous confidence bands and global inferences for extended partially linear single-index models

Cites Work

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• Estimation and testing for partially linear single-index models
• Oracally efficient estimation for single-index link function with simultaneous confidence band
• A smooth simultaneous confidence band for conditional variance function
• Simultaneous nonparametric inference of time series
• Asymptotic maximal deviation of M-smoothers
• Probabilities of maximal deviations for nonparametric regression function estimates
• Nonparametric statistics for stochastic processes. Estimation and prediction.
• Bootstrap confidence bands for regression curves and their derivatives
• Simultaneous nonparametric regression analysis of sparse longitudinal data
• Partially linear single index models for repeated measurements
• Empirical likelihood for partially linear single-index models with missing observations
• Semi-parametric estimation of partially linear single-index models
• Semiparametric GEE analysis in partially linear single-index models for longitudinal data
• Simultaneous inference for the mean function based on dense functional data
• Simultaneous confidence bands for nonparametric regression with functional data
• An Effective Bandwidth Selector for Local Least Squares Regression
• A simultaneous confidence band for sparse longitudinal regression
• Oracle-Efficient Confidence Envelopes for Covariance Functions in Dense Functional Data
• Confidence Bands in Nonparametric Regression
• Generalized Partially Linear Single-Index Models
• Semiparametric Regression for Clustered Data Using Generalized Estimating Equations
• Penalized Spline Estimation for Partially Linear Single-Index Models
• On Single-Index Coefficient Regression Models
• Nonparametric Function Estimation for Clustered Data When the Predictor is Measured without/with Error
• SIMULTANEOUS CONFIDENCE BANDS FOR MEAN AND VARIANCE FUNCTIONS BASED ON DETERMINISTIC DESIGN
• Efficient estimation in partially linear single‐index models for longitudinal data
• Simultaneous Inference of Linear Models with Time Varying Coefficients
• Semiparametric Models for Longitudinal Data with Application to CD4 Cell Numbers in HIV Seroconverters
• Inference of Trends in Time Series
• Analysis of Longitudinal Data With Semiparametric Estimation of Covariance Function
• Semiparametric Estimation of Covariance Matrixes for Longitudinal Data
• Semiparametric Estimation in General Repeated Measures Problems
• New Estimation and Model Selection Procedures for Semiparametric Modeling in Longitudinal Data Analysis
• Efficient Semiparametric Marginal Estimation for Longitudinal/Clustered Data
• Robust Estimation in Generalized Partial Linear Models for Clustered Data
• Longitudinal Data Analysis