M-estimation for the partially linear regression model under monotonic constraints

DOI10.1016/j.spl.2013.01.006zbMath1277.62092OpenAlexW1979891926MaRDI QIDQ385097

Zhimeng Sun, TianFa Xie, Jiang Du

Publication date: 29 November 2013

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2013.01.006

zbMATH Keywords

quantile regressionempirical processM-estimationmonotone \(B\)-splines

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items

Robust estimation in partially linear regression models with monotonicity constraints ⋮ Double penalized semi-parametric signed-rank regression with adaptive LASSO ⋮ Robust estimators in a generalized partly linear regression model under monotony constraints ⋮ Parameter estimation of partial linear model under monotonicity constraints with censored data ⋮ Empirical Likelihood Inference of the Partial Linear Isotonic Errors-in-variables Regression Models with Missing Data

Cites Work

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• Semiparametric analysis of isotonic errors-in-variables regression models with randomly right censored response
• \(M\)-estimators for isotonic regression
• Spline-based sieve maximum likelihood estimation in the partly linear model under monotonicity constraints
• Convergence rates for parametric components in a partly linear model
• The asymptotic behavior of monotone regression estimates
• On parameters of increasing dimensions
• Nonparametric kernel regression subject to monotonicity constraints
• Limiting distribution for monotone median regression
• A note on estimating a partly linear model under monotonicity constraints
• Weak convergence and empirical processes. With applications to statistics
• Semiparametric analysis of additive isotonic errors-in-variables regression models
• Semiparametric Analysis of Isotonic Errors-in-Variables Regression Models with Missing Response
• On the Estimation of Parameters Restricted by Inequalities
• Monotone B-Spline Smoothing
• Asymptotic Statistics
• Estimation in a semiparametric model for longitudinal data with unspecified dependence structure
• Rank-based inference for the accelerated failure time model
• Semiparametric Estimation Methods for Panel Count Data Using MonotoneB-Splines
• Testing and Estimating Shape-Constrained Nonparametric Density and Regression in the Presence of Measurement Error
• Estimation of the mean function with panel count data using monotone polynomial splines
• Robust Estimation in Generalized Partial Linear Models for Clustered Data
• Robust Statistics