Simultaneous Confidence Bounds in Multiple Regression Using Predictor Variable Constraints

DOI10.2307/2289156zbMath0617.62036OpenAlexW4232941199MaRDI QIDQ4727197

Daniel Q. Naiman

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2289156

zbMATH Keywords

algorithmMonte Carlo methodcoverage probabilitymultiple regressionpolyhedral convex setsimultaneous confidence boundspredictor variable constraints

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05) Monte Carlo methods (65C05) Probabilistic methods, stochastic differential equations (65C99)

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Simultaneous Confidence Bands for Linear Regression with Covariates Constrained in Intervals ⋮ Simultaneous confidence tubes for comparing several multivariate linear regression models ⋮ Detecting change points and monitoring biomedical data ⋮ One-sided hyperbolic simultaneous confidence bands for multiple and polynomial regression models ⋮ A ray method of confidence band construction for multiple linear regression models ⋮ Constant width simultaneous confidence bands in multiple linear regression with predictor variables constrained in intervals ⋮ Comparison of hyperbolic and constant width simultaneous confidence bands in multiple linear regression under MVCS criterion ⋮ Bias-reduced simultaneous confidence bands on generalized linear models with restricted predictor variables ⋮ Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region ⋮ An efficient and flexible multiplicity adjustment for chi-square endpoints ⋮ Confidence bands in generalized linear models.

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