Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1973 · 220 citations · 7 references
ComputingBiostatisticsBayesian Data AnalysisStatistical ModelingStatisticsBayesian InferenceBayesian Model BuildingBayesian ModelingBayesian StatisticsMaximum Likelihood EstimationPrior SpecificationBayesian EstimationBayesian Linear RegressionBayesian RegressionHierarchical Bayesian EstimationHierarchical Bayesian ModelLeast Squares ProblemsPosterior Estimation
Summary Lindley and Smith (1972), using a hierarchical form of prior structure, derived Bayesian alternatives to least squares estimates for the linear model. This paper examines the Bayesian model in more detail and notes some general properties of the resulting estimators. Comparison is made with a least squares approach to models of the second kind, and an example is given.
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