Admissible linear estimators in linear models with respect to inequality constraints

DOI10.1016/S0024-3795(01)00293-2zbMath1009.62006MaRDI QIDQ1855354

Ning-Zhong Shi, Chang-Yu Lu

Publication date: 5 February 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

inequality constrainthomogeneous linear estimationinhomogeneous linear estimation

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Point estimation (62F10) Parametric inference under constraints (62F30) Admissibility in statistical decision theory (62C15)

Related Items (14)

Admissibility of Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints under Matrix Loss Function ⋮ Admissibility of estimated regression coefficients under generalized balanced loss ⋮ Admissibility in general Gauss–Markov model with respect to an ellipsoidal constraint under weighted balanced loss ⋮ Admissibility of linear estimators with respect to inequality constraints under some loss functions ⋮ Admissible linear estimators in the general Gauss-Markov model under generalized extended balanced loss function ⋮ Characterization of admissible linear estimators in the growth curve model with respect to inequality constraints ⋮ All admissible linear predictors in the finite populations with respect to inequality constraints under a balanced loss function ⋮ Admissibility of linear estimators with respect to inequality constraints under matrix loss function ⋮ Admissibility of linear estimators in multivariate linear models with respect to inequality constraints ⋮ Admissible linear estimators of multivariate regression coefficient with respect to an inequality constraint under matrix balanced loss function ⋮ Admissible Linear Estimators with Respect to Inequality Constraints ⋮ Characterization of admissible linear estimators in the general growth curve model with respect to an incomplete ellipsoidal restriction ⋮ Admissible Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints ⋮ Characterization of Admissible Linear Estimators in Multivariate Linear Model with Respect to Inequality Constraints under Matrix Loss Function

Cites Work

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• Admissible linear estimators in mixed linear models
• On characterization of linear admissible estimators: An extension of a result due to C. R. Rao
• Admissible linear estimators in the general Gauss-Markov model
• On the structure of admissible linear estimators
• Admissibility in linear estimation
• Estimation of parameters in a linear model
• On Admissible Estimators in a Linear Model
• Admissible linear estimation in singular linear models with respect to a restricted parameter set
• Admissible linear estimation in singular linear models
• Admissibility of linear estimators with respect to restricted parameter sets
• Admissibility of inhomogeneous linear estimaiors in linear models with respect to incomplete ellipsoidal restrictions
• All Admissible Linear Estimates of the Mean Vector

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