Estimation of Knots in Linear Spline Models

DOI10.1080/01621459.2021.1947307zbMath1514.62036OpenAlexW3182545882MaRDI QIDQ6107236

Guangyu Yang, Baqun Zhang, Min Zhang

Publication date: 3 July 2023

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01621459.2021.1947307

zbMATH Keywords

efficiencyNewton-Raphsonchange-pointdifferentiable in quadratic meangradient-descentsemiparametric semismooth estimating equation

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Asymptotic distribution theory in statistics (62E20) Knot theory (57K10) Higher-dimensional knots and links (57K45)

Cites Work

• On asymptotic distribution theory in segmented regression problems - identified case
• The log likelihood ratio in segmented regression
• Bent-cable asymptotics when the bend is missing.
• Weak convergence and empirical processes. With applications to statistics
• A nonsmooth version of Newton's method
• Semiparametric theory and missing data.
• Curve Fitting by Segmented Straight Lines
• Straight Lines with a Change-Point: A Bayesian Analysis of Some Renal Transplant Data
• A New Maximum Likelihood Algorithm for Piecewise Regression
• Asymptotic Statistics
• Composite Difference-Max Programs for Modern Statistical Estimation Problems
• Hierarchical Bayesian Analysis of Changepoint Problems
• Testing with a nuisance parameter present only under the alternative: a score-based approach with application to segmented modelling
• Fitting Segmented Curves Whose Join Points Have to be Estimated
• Estimating the transition between two intersecting straight lines
• The Estimation of the Parameters of a Linear Regression System Obeying Two Separate Regimes
• Bent-Cable Regression Theory and Applications

This page was built for publication: Estimation of Knots in Linear Spline Models