Characterization of admissible linear estimators in the growth curve model with respect to inequality constraints

DOI10.1016/j.jkss.2010.09.002zbMath1296.62020OpenAlexW1971321637MaRDI QIDQ458112

Zhide Fang, Litao Han, Hong Qin, Shang-Li Zhang

Publication date: 30 September 2014

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2010.09.002

zbMATH Keywords

growth curve modelinequality constraintquadratic lossadmissible linear estimatormatrix loss

Mathematics Subject Classification ID

Point estimation (62F10) Admissibility in statistical decision theory (62C15)

Related Items (2)

Statistical inference for generalized case-cohort design under the proportional hazards model with parameter constraints ⋮ Admissibility in general linear model with respect to an inequality constraint under balanced loss

Cites Work

• Admissibility of linear estimators in a growth curve model subject to an incomplete ellipsoidal restriction
• On consistency, natural restrictions and estimability under classical and extended growth curve models
• Characterization of admissible linear estimators in the general growth curve model with respect to an incomplete ellipsoidal restriction
• Admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set
• Admissibility for linear estimator of parameter on growth curve model with respect to linear constraint
• Admissibility in linear estimation
• Estimation of parameters in a linear model
• Admissible linear estimation in the general Gauss-Markov model with respect to an arbitrary quadratic risk function
• Matrix loss in comparison of linear experiments
• Gauss-Markov and weighted least-squares estimation under a general growth curve model
• Prediction of future observations in growth curve models. With discussion and a reply by the author
• Admissible linear estimators in linear models with respect to inequality constraints
• Admissibility of linear estimators in multivariate linear models with respect to inequality constraints
• The growth curve model: a review
• Prediction and Estimation of Growth Curves With Special Covariance Structures
• Admissibility of linear estimators with respect to restricted parameter sets
• Admissibility of inhomogeneous linear estimaiors in linear models with respect to incomplete ellipsoidal restrictions
• A generalized multivariate analysis of variance model useful especially for growth curve problems
• Estimation in a growth curve model with singular covariance
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