两级套随机效应模型中方差分量的Bayes估计

The Empirical Bayes Estimation of Variance Components in the Two-way Nested Classification Random Effect Models

在加权平方损失下导出了两级套分类随机效应模型中方差分量的Bayes估计,并利用多元密度及其偏导数的核估计方法构造出了方差分量的经验Bayes(EB)估计。

For the two-way nested classification random effects models,the Bayes estimation of variance components is derived under weighted quadratic loss function,and the Empirical Bayes（EB）estimation is constructed by the kernel estimation of multivariate density and its mixed partial derivatives.