Constant width simultaneous confidence bands in multiple linear regression with predictor variables constrained in intervals

DOI10.1080/00949650410001701715zbMath1074.62044OpenAlexW2103860956MaRDI QIDQ5460690

Mortaza Jamshidian, Frank Bretz, Wei Liu, Ying Zhang

Publication date: 18 July 2005

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949650410001701715

zbMATH Keywords

statistical simulationsimultaneous confidence bandssensitivity of confidence bands

Mathematics Subject Classification ID

Related Items (8)

Simultaneous Confidence Bands for Linear Regression with Covariates Constrained in Intervals ⋮ Normal probability plots with confidence ⋮ Maximum modulus confidence bands ⋮ Exact Simultaneous Confidence Bands for Quadratic and Cubic Polynomial Regression with Applications in Dose Response Study ⋮ Simultaneous Confidence Tubes in Multivariate Linear Regression ⋮ Comparison of hyperbolic and constant width simultaneous confidence bands in multiple linear regression under MVCS criterion ⋮ Construction of simultaneous confidence bands using conditional Monte Carlo ⋮ Optimal Simultaneous Confidence Bands in Multiple Linear Regression with Predictor Variables Constrained in an Ellipsoidal Region

Cites Work

• Admissible and optimal confidence bands in simple linear regression
• The multivariate normal distribution
• Multiple testing and simultaneous confidence intervals: calculation of constants
• Recursive integration methodologies with statistical applications
• Comparing Scheffe-Type to Constant-Width Confidence Bounds in Regression
• Exact Confidence Bands for Linear Regression Over Intervals
• Approximation Theorems of Mathematical Statistics
• Confidence Bands for Regression Functions
• Confidence Bands for Linear Regression with Restricted Predictor Variable
• Simultaneous Confidence Bounds in Multiple Regression Using Predictor Variable Constraints
• Simultaneous Confidence Bands for Linear Regression Models

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