Order relations for linear models: a survey on recent developments

DOI10.1007/s00362-006-0293-zzbMath1125.62067OpenAlexW1964845368MaRDI QIDQ849864

Herbert Heyer

Publication date: 14 November 2006

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-006-0293-z

zbMATH Keywords

Hellinger transformfinite-dimensional complex Hilbert space

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Inequalities; stochastic orderings (60E15) Theory of statistical experiments (62B15) Hypothesis testing in multivariate analysis (62H15) Applications of functional analysis in probability theory and statistics (46N30) Sufficient statistics and fields (62B05)

Related Items (2)

Quotient of information matrices in comparison of linear experiments for quadratic estimation ⋮ On a problem with singularity in comparison of linear experiments

Cites Work

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• Orderings of linear models
• Comparison of linear experiments with known covariances
• Ordering of nonnegative definite matrices with application to comparison of linear models
• Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
• Comparing location experiments
• Comparison of normal linear experiments by quadratic forms
• Matrix loss in comparison of linear experiments
• On a matrix result in comparison of linear experiments
• Comparison of linear normal experiments
• Comparing Normal Linear Experiments and Transformation of Observations *

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