Empirical Bayes approach jointly shrinks fixed and random effects in linear mixed models via marginal likelihood maximization with Laplace approximation, improving estimation and prediction.
In the above we have grouped all the terms that do not depend onθin a constantcthat can differ from one equality to the other
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Combined shrinkage of fixed and random effects in linear mixed models using empirical Bayes
Empirical Bayes approach jointly shrinks fixed and random effects in linear mixed models via marginal likelihood maximization with Laplace approximation, improving estimation and prediction.