Some distribution theory relating to confidence regions in multivariate calibration

DOI10.1007/BF02491455zbMath0656.62058OpenAlexW2046176048MaRDI QIDQ1110217

S. H. Smith

Publication date: 1987

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02491455

zbMATH Keywords

percentilesLaplace transformapproximationsasymptotic expansionsinvariant polynomialsmultivariate calibrationconstructing confidence regionsdecomposition of Hotelling's T-squaremoment terms

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10)

Related Items (7)

Single use conservative confidence regions in multivariate controlled calibration ⋮ Invariant Polynomials and Related Tests ⋮ Prediction and calibration for multiple correlated variables ⋮ Joint confidence regions in the multivariate calibration problem ⋮ Analyte Identification in Multivariate Calibration ⋮ Tolerance regions and multiple-use confidence regions in multivariate calibration ⋮ Conservative confidence regions in multivariate calibration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant polynomials with two matrix arguments extending the zonal polynomials: Applications to multivariate distribution theory
• Asymptotic expansions for distributions of latent roots in multivariate analysis
• Integral transforms and their applications
• On the distribution of a statistic in multivariate inverse regression analysis
• On the distribution of the latent roots of a positive definite random symmetric matrix. I
• The Distribution of Hotelling's Generalised $T_0^2$
• Generalized Asymptotic Expansions of Cornish-Fisher Type
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Non-Central Distribution Problems in Multivariate Analysis

This page was built for publication: Some distribution theory relating to confidence regions in multivariate calibration