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MLE Explicit Solutions for the Two-Way Classification Random Models

机译：双向分类随机模型的MLE显式解

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摘要

According to the literature [1-5], MLE explicit solutions for general mixed effects model do not certainly exist, and specially, the two-way classification random model has no MLE explicit solutions. This conclusion is incorrect. Applying spectral decomposition [6], MLE explicit solutions for the two-way classification random model are given in this paper, and furthermore, MLE explicit solutions for a type of simple non-balanced mixed effects model are also given. We guess that MLE explicit solutions of general mixed effects models certainly exist, and this will bring more conveniences for the application. The reason that the conjecture established is given in the paper.
机译：根据文献[1-5]，一般混合效应模型的MLE显式解不一定存在，特别是双向分类随机模型没有MLE显式解。这个结论是不正确的。应用频谱分解[6]，给出了两类分类随机模型的MLE显式解，并且给出了一种简单的非平衡混合效应模型的MLE显式解。我们猜想，一般混合效果模型的MLE显式解决方案确实存在，这将为应用带来更多便利。本文给出了猜想成立的原因。

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