A note on the concepts of linear and quadratic sufficiency

DOI10.1016/S0378-3758(97)00177-8zbMath0937.62005OpenAlexW2140237805MaRDI QIDQ1299413

Jürgen Gross

Publication date: 14 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0378-3758(97)00177-8

zbMATH Keywords

general Gauss-Markov modellinear sufficiencyquadratic sufficiencylinear completeness

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Sufficient statistics and fields (62B05)

Related Items (8)

On relations between BLUPs under two transformed linear random-effects models ⋮ Transformation approaches of linear random-effects models ⋮ Best linear unbiased prediction for linear combinations in general mixed linear models ⋮ Best Quadratic Unbiased Prediction in a General Linear Model with Stochastic Regression Coefficients ⋮ Some notes on linear sufficiency ⋮ Nonnegative quadratic estimation and quadratic sufficiency in general linear models ⋮ Linear Prediction Sufficiency for New Observations in the General Gauss–Markov Model ⋮ On Hermitian nonnegative-definite solutions to matrix equations

Cites Work

• Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model
• A study of the influence of the natural restrictions on estimation problems in the singular Gauss-Markov model
• Linear sufficiency with respect to a given vector of parametric functions
• Sufficiency and completeness in the linear model
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