Optimal Simultaneous Confidence Bands in Multiple Linear Regression with Predictor Variables Constrained in an Ellipsoidal Region

DOI10.1080/03610926.2012.751115zbMath1314.62152OpenAlexW2019044183MaRDI QIDQ5249200

P. Ah-Kine, Wei Liu

Publication date: 29 April 2015

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.751115

zbMATH Keywords

linear regressionsimultaneous inferenceconfidence setmultivariate normalmultivariate \(t\)simultaneous confidence bands

Mathematics Subject Classification ID

Linear regression; mixed models (62J05)

Cites Work

• Volumes of tubular neighborhoods of spherical polyhedra and statistical inference
• Average width optimality of simultaneous confidence bounds
• Comparison of hyperbolic and constant width simultaneous confidence bands in multiple linear regression under MVCS criterion
• Simultaneous confidence bands for linear regression and smoothing
• On confidence bands and set estimators for the simple linear model
• Construction of Exact Simultaneous Confidence Bands for a Simple Linear Regression Model
• Confidence Bands for Low‐Dose Risk Estimation with Quantal Response Data
• A multivariate t probability integral
• Minimum Area Confidence Set Optimality for Confidence Bands in Simple Linear Regression
• Simultaneous Inference in Regression
• Constant width simultaneous confidence bands in multiple linear regression with predictor variables constrained in intervals
• Multiple Comparison of Several Linear Regression Models
• Low Dose Risk Estimation via Simultaneous Statistical Inferences
• Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region

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