Nonnegative quadratic estimation and quadratic sufficiency in general linear models

DOI10.1016/j.jmva.2006.08.008zbMath1116.62064OpenAlexW2055901031MaRDI QIDQ997005

Xu-Qing Liu, Jian-Ying Rong

Publication date: 19 July 2007

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2006.08.008

zbMATH Keywords

transformed modellinear sufficiencyquadratic sufficiencyoriginal model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Theory of matrix inversion and generalized inverses (15A09) Linear transformations, semilinear transformations (15A04) Sufficient statistics and fields (62B05)

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Cites Work

• Linear sufficiency and some applications in multilinear estimation
• Linear sufficiency and admissibility in restricted linear models
• Comparison of linear restricted models with respect to the validity of admissible and linearly sufficient estimators
• A note on the concepts of linear and quadratic sufficiency
• Nonnegative minimum biased quadratic estimation in mixed linear models
• Sufficiency and completeness in the linear model
• Nonnegative minimum biased quadratic estimation in the linear regression models
• Linear models. Least squares and alternatives
• Sufficient and admissible estimators in general multivariate linear model
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