An Independence Point Method of Confidence Band Construction for Multiple Linear Regression Models

DOI10.1080/03610926.2011.569679zbMath1284.62189OpenAlexW2115080060WikidataQ61855743 ScholiaQ61855743MaRDI QIDQ4904677

Wei Liu, Seksan Kiatsupaibul, Henry P. Wynn, Anthony J. Hayter

Publication date: 31 January 2013

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

Full work available at URL: https://doi.org/10.1080/03610926.2011.569679

zbMATH Keywords

multiple linear regressionconfidence bands\(t\)-distributionindependence pointsKimball's inequality

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05) Paired and multiple comparisons; multiple testing (62J15)

Cites Work

• Volumes of tubular neighborhoods of spherical polyhedra and statistical inference
• Easy-to-construct confidence bands for comparing two simple linear regression lines
• A ray method of confidence band construction for multiple linear regression models
• Asymmetric confidence bands for simple linear regression over bounded intervals.
• Simultaneous confidence bands for linear regression and smoothing
• Construction of Exact Simultaneous Confidence Bands for a Simple Linear Regression Model
• A multivariate t probability integral
• An exact confidence band for one-dimensional polynomial regression
• Minimum Area Confidence Set Optimality for Confidence Bands in Simple Linear Regression
• On Dependent Tests of Significance in the Analysis of Variance
• Asymptotic sharpness of product-type inequalities for maxima of random variables with applications in multiple comparisons

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