Bayes Estimates for the Linear Model
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Cites background or methods from "Bayes Estimates for the Linear Mode..."
...2), and more general extensions, as a Bayesian linear model (Lindley and Smith, 1972) where the β j are assumed to be exchangeable and to have a prior distribution with variance σ u0 2 ....
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...For the first order approximation the procedure outlined here is closely related to that given by Lindstrom and Bates (1990) for 2-level repeated measures data who consider a first order expansion about the unit-specific predicted values....
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Cites methods from "Bayes Estimates for the Linear Mode..."
...The normal regression structure on Z also motivates the consideration of normal hierarchical models as presented in Lindley and Smith (1972). Given a particular probit model and regression parameter fJofdimension k, one may suspect that fJ lies on a linear subspace AfJo, where fJo is p-dimensional, where P < k....
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...One can use standard theory for the normal hierarchical model (Lindley and Smith 1972) to obtain the posterior distributions of fJ and u 2 conditional on the latent data Z....
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References
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