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中文摘要：
本文考虑了非参数混合模型中的子集删除诊断．在非参数混合模型的框架下,得到了用两种方法所得非参数元素估计的系数矩阵相等,同时用两种方法得到的随机效应预测的系数矩阵也相同．在此等价性的基础上,我们将现有文献中对线性模型的11删除=替代”准则推广至非参数混合模型场合．不仅得到了固定效应的删除诊断公式,还得到了随机效应的删除诊断公式．此外,我们通过模拟数据分析和真实数据分析说明了我们方法的有效性．
英文摘要：
In this paper, we consider subset deletion diagnostics for nonparametric mixed models. It is found that the coefficient matrices for the estimator of the nonparametric function and the predictor of the random effect calculated from two approaches are equivalent. According to this important equivalence, we extend the ＇delete=replace＇ identity for linear models to nonparametric mixed models, and derive deletion diagnostics not only for the nonparametric function but also for random effects. A simulated example and a real data set are used to illustrate our methodology.
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