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Bayesian least squares estimates of univariate regression functions

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Publication:3962350
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DOI10.1080/03610928008827946zbMath0497.62055OpenAlexW2017852551MaRDI QIDQ3962350

H. D. Brunk

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/03610928008827946

zbMATH Keywords

prior distributionBayesian least squareslinear Bayes methodsorthogonal expansion of regression functions


Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Bayesian inference (62F15) General nonlinear regression (62J02)


Related Items

Estimation of stimulus-response curves by Bayesian least squares, Nonparametric bayesian inference for dichotomous response models, Bayes least squares linear estimation of densities



Cites Work

  • Consistent nonparametric regression. Discussion
  • A natural identity for exponential families with applications in multiparameter estimation
  • Conjugate priors for exponential families
  • Only Normal Distributions Have Linear Posterior Expectations in Linear Regression
  • Heuristic estimation of probability densities
  • A Bayesian approach to model inadequacy for polynomial regression
  • Abstract credibility
  • Univariate density estimation by orthogonal series
  • Smoothing by Cheating
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