Comparison of simultaneous confidence bands for univariate polynomial regression over an interval

DOI10.1080/03610926.2013.833242zbMath1337.62042OpenAlexW2069822402MaRDI QIDQ2807707

Shan Lin

Publication date: 25 May 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.833242

zbMATH Keywords

critical valuepolynomial regressionsimultaneous confidence bands

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Parametric inference under constraints (62F30)

Cites Work

• Hotelling's theorem on the volume of tubes: Some illustrations in simultaneous inference and data analysis
• Conservative confidence bands in curvilinear regression
• On Hotelling's formula for the volume of tubes and Naiman's inequality
• Simultaneous confidence bands for linear regression and smoothing
• On Hotelling's Approach to Testing for a Nonlinear Parameter in Regression
• Statistical inferences for linear regression models when the covariates have functional relationships: polynomial regression
• An exact confidence band for one-dimensional polynomial regression

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