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Bayes estimation in linear models: A coordinate-free approach

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Publication:1838790
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DOI10.1016/0047-259X(83)90004-0zbMath0511.62037MaRDI QIDQ1838790

Stanisław Gnot

Publication date: 1983

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)


zbMATH Keywords

linear estimatorslinear modelscoordinate-free approachquadratic estimationunified theory of Bayes estimation


Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10)


Related Items

Bayes invariant quadratic estimation in general linear regression models



Cites Work

  • Estimation of parameters in a linear model
  • Invariant quadratic unbiased estimation for two variance components
  • Bayes invariant quadratic estimators for variance components in linear models
  • A note on estimating the common mean of k normal distributions and the stein problem
  • Bayes Linear Estimators
  • Invariant Quadratic Estimators in the Random, One-Way ANOVA Model
  • Inference about Variance Components in the One-Way Model
  • All Admissible Linear Estimates of the Mean Vector
  • Ridge Regression: Biased Estimation for Nonorthogonal Problems
  • Ridge Regression: Applications to Nonorthogonal Problems
  • On Biased Estimation in Linear Models
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