On multivariate confidence regions and simultaneous confidence limits for ratios

DOI10.1080/03610928208828398zbMath0514.62063OpenAlexW1997463557MaRDI QIDQ3660699

H. B. Kushner, Eugene Laska, Gary O. Zerbe, Morris Meisner

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/03610928208828398

zbMATH Keywords

hyperboloidgeneral linear modelconfidence ellipsoidscomputational proceduressimultaneous confidence limitsmultiple bioassaymultivariate Fieller theoremratios of linear combinations of parametersScheffe simultaneous confidence intervals for relative potencies

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Parametric tolerance and confidence regions (62F25) Applications of statistics to biology and medical sciences; meta analysis (62P10) Probabilistic methods, stochastic differential equations (65C99)

Related Items

Inferential methods for elasticity estimates ⋮ Multivariate distributions involving ratios of normal variables ⋮ Relative Potency Estimation in Parallel-Line Assays – Method Comparison and Some Extensions ⋮ Simultaneous confidence sets and confidence intervals for multiple ratios ⋮ Two geometric representations of confidence intervals for ratios of linear combinations of regression parameters: an application to the NAIRU ⋮ Identification robust confidence set methods for inference on parameter ratios with application to discrete choice models ⋮ Improved confidence estimators for Fieller's confidence sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Alternative Models for the Analysis of Variance
• An Exact Confidence Region for a Relative Potency Estimated from Combined Bioassays
• Fieller's theorem and a generalization
• Multiple Testing Versus Multiple Estimation. Improper Confidence Sets. Estimation of Directions and Ratios
• A CONFIDENCE REGION FOR THE SOLUTION OF A SET OF SIMULTANEOUS EQUATIONS WITH AN APPLICATION TO EXPERIMENTAL DESIGN
• Multivariate Bioassay