Admissible Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints

DOI10.1080/03610920802571211zbMath1170.62311OpenAlexW1993463338MaRDI QIDQ3396356

Li-Wen Xu

Publication date: 18 September 2009

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920802571211

zbMATH Keywords

finite populationinequality constraintadmissibilitysuperpopulation model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Parametric inference under constraints (62F30) Sampling theory, sample surveys (62D05) Admissibility in statistical decision theory (62C15)

Related Items (7)

Admissibility of simultaneous prediction for actual and average values in finite population ⋮ Admissibility of Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints under Matrix Loss Function ⋮ Admissible prediction in superpopulation models with random regression coefficients under matrix loss function ⋮ Simultaneous prediction in the generalized linear model ⋮ All admissible linear predictors in the finite populations with respect to inequality constraints under a balanced loss function ⋮ Optimal prediction in finite populations under matrix loss ⋮ Admissible linear estimators of multivariate regression coefficient with respect to an inequality constraint under matrix balanced loss function

Cites Work

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• Bayes and minimax prediction in finite populations
• Prediction theory for finite populations
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• Admissible estimation for finite population when the parameter space is restricted
• On predicting the population total under regression models with measurement errors
• Admissible linear estimators in linear models with respect to inequality constraints
• Robust Linear Prediction in Finite Populations
• Admissible linear estimation in singular linear models with respect to a restricted parameter set
• Inequality Constrained Least-Squares Estimation
• Admissibility of inhomogeneous linear estimaiors in linear models with respect to incomplete ellipsoidal restrictions
• Robust Estimation in Finite Populations I
• Inequality Restrictions in Regression Analysis
• On finite population sampling theory under certain linear regression models

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