Calculating MLEs Sample Clauses

Calculating MLEs. It is not always possible to form x-homogeneous pools, especially if one or more of the covariates are continuous. In such cases, the Xxxxxx series approximations from Section 3.5 are no longer justified. Instead, parametric approaches to identify MLEs of the β vector may be the best option. While these methods do require distributional assumptions, they provide theoretically sound alternatives to the Approximate Model when pools are heterogeneous. A natural method to calculate MLEs is to maximize the observed data likelihood. As noted in Section 1.4.1, the density for each pool, say fp(Y p), consists of a (ki — 1)-fold integral p ∫ ∫  , p   ki fp(Yi |X, θ) = Yiki
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