Minimum Convex Risk Equivariant Finite Population Prediction for Linear Functions in Regression Models

DOI10.1081/STA-120029831zbMath1114.62312OpenAlexW2026522368MaRDI QIDQ3155319

T. M. Durairajan, Martin L. William

Publication date: 14 January 2005

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

Full work available at URL: https://doi.org/10.1081/sta-120029831

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Sampling theory, sample surveys (62D05)

Cites Work

• Prediction theory for finite populations
• Optimal equivariant estimator with respect to convex loss function
• Equivariant prediction in finite populations
• A necessary and sufficient condition for an estimator to be optimal
• Bayes and equtvariant estimators of the variance of a finite population: part I, simple random sampling
• Bayes equivariant estimators of the variance of a finite population for exponential priors

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