Linear sufficiency with respect to a given vector of parametric functions

DOI10.1016/0378-3758(86)90171-0zbMath0614.62079OpenAlexW2084864725MaRDI QIDQ1819867

Jerzy K. Baksalary, Radosław Kala

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0378-3758(86)90171-0

zbMATH Keywords

nuisance parametersseemingly unrelated regressionsgeneral Gauss-Markov modelstepwise estimationlinear minimal sufficiencyminimum dispersion linear unbiased estimatorlinearly sufficientMDLUE

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Point estimation (62F10) Sufficient statistics and fields (62B05)

Related Items (20)

On relations between BLUPs under two transformed linear random-effects models ⋮ Estimation in singular partitioned, reduced or transformed linear models ⋮ Fundamental Equations of BLUE and BLUP in the Multivariate Linear Model with Applications ⋮ Some Further Remarks on the Linear Sufficiency in the Linear Model ⋮ Comparing the BLUEs Under Two Linear Models ⋮ Predictions and estimations under a group of linear models with random coefficients ⋮ Linear prediction sufficiency in the misspecified linear model ⋮ Some properties of linear sufficiency and the BLUPs in the linear mixed model ⋮ Transformation approaches of linear random-effects models ⋮ Admissibility and linear sufficiency in linear model with nuisance parameters ⋮ Orthogonality and Linear Sufficiency in Partitioned and Reduced Linear Models ⋮ Some notes on linear sufficiency ⋮ On the best linear unbiased estimator and the linear sufficiency of a general growth curve model ⋮ Some Properties of Linear Prediction Sufficiency in the Linear Model ⋮ Upper bounds for the Euclidean distances between the BLUPs ⋮ Linear sufficiency and completeness in the context of estimating the parametric function in the general Gauss-Markov model ⋮ On the equivalence of estimations under a general linear model and its transformed models ⋮ Linear Prediction Sufficiency for New Observations in the General Gauss–Markov Model ⋮ Testing random effects in linear mixed models: another look at the F‐test (with discussion) ⋮ A note on the concepts of linear and quadratic sufficiency

Cites Work

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• Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model
• A study of the equivalence between a gauss-markoff model and its augmentation by nuisance parameters
• Sufficient Linear Structures: Econometric Applications
• Linear Model Estimation with Extraneous Estimates of a Parameter Subset, with an Application to Aircraft Tracking

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