Nonparametric Function Estimation of the Relationship between two Repeatedly Measured Variables

Nonparametric Function Estimation of the Relationship between two Repeatedly Measured Variables
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DOI:
10.18452/3792
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发表时间:
1997-01
期刊:
影响因子:
1.4
通讯作者:
A. Ruckstuhl;A. Welsh;R. Carroll
A. Ruckstuhl;A. Welsh;R. Carroll
中科院分区:
数学3区
文献类型:
--
作者:
A. Ruckstuhl;A. Welsh;R. Carroll

文献摘要

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我们描述了在简单方差分量模型中非参数估计回归函数和估计方差分量的方法,该模型有时用于重复测量数据或具有简单聚类结构的数据。我们考虑了估计回归函数的几种不同方法。主要结果是,将数据视为独立的简单混合估计具有很好的渐近性能,但我们可以构造在某些情况下具有较好渐近性能的估计。
We describe methods for estimating the regression function nonparametrically and for estimating the variance components in a simple variance component model which is sometimes used for repeated measures data or data with a simple clustered structure. We consider a number of different ways of estimating the regression function. The main results are that the simple pooled estimator which treats the data as independent performs very well asymptotically but that we can construct estimators which perform better asymptotically in some circumstances.