Tolerance regions and multiple-use confidence regions in multivariate calibration

DOI10.1214/aos/1024691366zbMath0929.62071OpenAlexW2090047365MaRDI QIDQ1807142

Thomas Mathew, Manoj Kumar Sharma, Kenneth Nordström

Publication date: 9 November 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1024691366

zbMATH Keywords

linear modelcalibrationWishart distributiontolerance regionmatrix variate beta distributionnoncentral chi-squarematrix variate F distributionmultiple-use confidence region

Mathematics Subject Classification ID

Multivariate analysis (62H99) Parametric tolerance and confidence regions (62F25) Linear inference, regression (62J99)

Related Items (7)

Single use conservative confidence regions in multivariate controlled calibration ⋮ Inequalities for the probability content of a rotated ellipse and related stochastic domination results ⋮ Statistical calibration and exact one-sided simultaneous tolerance intervals for polynomial regression ⋮ Prediction and calibration for multiple correlated variables ⋮ Joint confidence regions in the multivariate calibration problem ⋮ ISO\(^*\) property of two-parameter compound Poisson distributions with applications ⋮ On the construction of multiple use confidence regions based on combined information in univariate calibration

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• A statistical theory of calibration
• A Quick and Easy Multiple-Use Calibration-Curve Procedure
• Statistical Calibration: A Review
• A Comparison of Uncertainty Criteria for Calibration
• Multiple Use Confidence Regions in Multivariate Calibration

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