Comparison of hyperbolic and constant width simultaneous confidence bands in multiple linear regression under MVCS criterion

DOI10.1016/j.jmva.2008.12.003zbMath1162.62019OpenAlexW2016124812WikidataQ39845698 ScholiaQ39845698MaRDI QIDQ1021841

Wei Liu, P. Ah-Kine, Walter W. Piegorsch, Anthony J. Hayter

Publication date: 9 June 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2847310

zbMATH Keywords

statistical inferencelinear regressionconfidence setssimultaneous confidence bands

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05)

Related Items (4)

Simultaneous Confidence Bands for Linear Regression with Covariates Constrained in Intervals ⋮ Maximum modulus confidence bands ⋮ Uniform confidence bands: characterization and optimality ⋮ Optimal Simultaneous Confidence Bands in Multiple Linear Regression with Predictor Variables Constrained in an Ellipsoidal Region

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Volumes of tubular neighborhoods of spherical polyhedra and statistical inference
• Average width optimality of simultaneous confidence bounds
• The multivariate normal distribution
• Simultaneous confidence bands for linear regression and smoothing
• Construction of Exact Simultaneous Confidence Bands for a Simple Linear Regression Model
• Comparing Scheffe-Type to Constant-Width Confidence Bounds in Regression
• Exact Confidence Bands for Linear Regression Over Intervals
• Confidence Bands for Low‐Dose Risk Estimation with Quantal Response Data
• Confidence Bands for Regression Functions
• Average-Width Optimality for Confidence Bands in Simple Linear Regression
• Confidence Bands for Linear Regression with Restricted Predictor Variable
• Validation of Regression Models: Methods and Examples
• A multivariate t probability integral
• Exact Confidence Bounds for All Contrasts of Three or More Regression Lines
• Simultaneous Confidence Bounds in Multiple Regression Using Predictor Variable Constraints
• Minimum Area Confidence Set Optimality for Confidence Bands in Simple Linear Regression
• Constant width simultaneous confidence bands in multiple linear regression with predictor variables constrained in intervals
• Sharp one-sided confidence bounds for linear regression over intervals
• Multiple Comparison of Several Linear Regression Models
• Low Dose Risk Estimation via Simultaneous Statistical Inferences

This page was built for publication: Comparison of hyperbolic and constant width simultaneous confidence bands in multiple linear regression under MVCS criterion