Some applications of Anderson's inequality to some optimality criteria of the generalized least squares estimator
DOI10.1007/BF02614008zbMath0753.62017OpenAlexW2068996126MaRDI QIDQ1193394
Publication date: 27 September 1992
Published in: Metrika (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/176423
generalized Bayes estimatorminimax estimatorstochastic dominationloss functionsPitman closenessgeneralized least squares estimatorregression coefficientAnderson's inequalityuniversal dominationbest equivariant estimationelliptically symmetric unimodal distributionsextended Bayesgeneralized Euclidean distancegroup of location-scale transformationsposterior Pitman closenessstar unimodalityuniversal Bayes
Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Bayesian inference (62F15) Minimax procedures in statistical decision theory (62C20) Foundations and philosophical topics in statistics (62A01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Universal estimators of a vector parameter
- Statistical decision theory and Bayesian analysis. 2nd ed
- Universal domination and stochastic domination: Estimation simultaneously under a broad class of loss functions
- Minimax estimation of location parameters for spherically symmetric distributions with concave loss
- Minimax estimation of location vectors for a wide class of densities
- Minimax estimation of location parameters for spherically symmetric unimodal distributions under quadratic loss
- Estimation of location and scale parameters using generalized Pitman nearness criterion
- The Stein paradox in the sense of the Pitman measure of closeness
- Minimax estimation of location parameters for certain spherically symmetric distributions
- Bayesian pitman closeness
- Pitman closeness for hierarchical bayes predictors in mixed linear models
- The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
- Invariance, Minimax Sequential Estimation, and Continuous Time Processes
- Median Unbiasedness and Pitman Closeness
This page was built for publication: Some applications of Anderson's inequality to some optimality criteria of the generalized least squares estimator