刘强. 纵向数据下半参数混合效应模型的估计[J]. 应用概率统计, 2010, 26(4): 411-418.
引用本文: 刘强. 纵向数据下半参数混合效应模型的估计[J]. 应用概率统计, 2010, 26(4): 411-418.
Liu Qiang. Estimation for Semiparametric Mixed-Effects Model with Longitudinal Data[J]. Chinese Journal of Applied Probability and Statistics, 2010, 26(4): 411-418.
Citation: Liu Qiang. Estimation for Semiparametric Mixed-Effects Model with Longitudinal Data[J]. Chinese Journal of Applied Probability and Statistics, 2010, 26(4): 411-418.

纵向数据下半参数混合效应模型的估计

Estimation for Semiparametric Mixed-Effects Model with Longitudinal Data

  • 摘要: 考虑纵向数据下一类半参数混合效应模型. 应用核权函数法以及矩估计法给出了总体效应和个体效应的估计. 在一般的条件下, 证明了总体效应估计的渐近正态性, 并给出该估计的置信区域. 对总体效应和个体效应的估计进行了模拟研究, 模拟显示估计效果较好.

     

    Abstract: In this paper, we consider the semiparametric mixed-effects model under longitudinal data. We use kernel weight function method and moment method to construct the estimators of fixed effects and individual effects. Asymptotic normality of the estimators are investigated, and the confidence region of the estimators of fixed effects is constructed. The simulations are reported for illustration, and the results are encouraging.

     

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