On confidence bands and set estimators for the simple linear model

DOI10.1016/0167-7152(87)90091-5zbMath0616.62040OpenAlexW2052853766MaRDI QIDQ1821446

Walter W. Piegorsch

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-7152(87)90091-5

zbMATH Keywords

algorithmdualitycoverage probabilityconfidence bandsset estimatorspolygonal sets

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05)

Related Items (5)

Simultaneous Confidence Bands for Linear Regression with Covariates Constrained in Intervals ⋮ Simultaneous confidence bands for a percentile hyper-plane with covariates constrained in a restricted range ⋮ Exact Simultaneous Confidence Bands for Quadratic and Cubic Polynomial Regression with Applications in Dose Response Study ⋮ Asymmetric confidence bands for simple linear regression over bounded intervals. ⋮ Optimal Simultaneous Confidence Bands in Multiple Linear Regression with Predictor Variables Constrained in an Ellipsoidal Region

Cites Work

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• Average width optimality of simultaneous confidence bounds
• On the Exactness of Confidence Bands About a Linear Model
• Exact Confidence Bands for Linear Regression Over Intervals
• Confidence Bands for Regression Functions
• Confidence Bands for Polynomial Regression with Fixed Intercepts
• Simultaneous Confidence Bands for Linear Regression Models

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