Tolerance regions in multivariate linear regression

DOI10.1016/j.jspi.2003.07.002zbMath1075.62055OpenAlexW1972617574MaRDI QIDQ1888864

Yi-Tzu Lee, Thomas Mathew

Publication date: 29 November 2004

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2003.07.002

zbMATH Keywords

Wishart distributionCoverage probabilityNoncentral chi-squareTolerance factor

Mathematics Subject Classification ID

Multivariate analysis (62H99) Estimation in multivariate analysis (62H12) Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05) Monte Carlo methods (65C05) Statistical tables (62Q05)

Related Items (5)

Central tolerance regions and reference regions for multivariate normal populations ⋮ Tolerance Factors in Multiple and Multivariate Linear Regressions ⋮ Improved Tolerance Factors for Multivariate Normal Distributions ⋮ Statistical inference for multivariate partially linear regression models ⋮ Approximate ellipsoidal tolerance regions for multivariate normal populations

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• Construction of $\beta$-Content Tolerance Regions at Confidence Level $\gamma$ for Large Samples from the $k$-Variate Normal Distribution
• Setting of Tolerance Limits When the Sample is Large

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