高维纵向数据的模型平均估计

陈心杰,赵志豪

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (7) : 1297-1324.

PDF(769 KB)
PDF(769 KB)
系统科学与数学 ›› 2020, Vol. 40 ›› Issue (7) : 1297-1324. DOI: 10.12341/jssms13925
论文

 高维纵向数据的模型平均估计

    陈心杰1,赵志豪2,3
作者信息 +

Model Average for High-Dimensional Longitudinal Data

    CHEN Xinjie1 ,ZHAO Zhihao 2,3
Author information +
文章历史 +

摘要

高维数据的模型选择是当今统计学研究的一个热点问题, 但 关于高维纵向数据方面的模型平均却少见研究, 文章提出了一种利用删 组交叉验证准则对高维纵向数据进行模型平均估计的方法, 在最小化预测残差意义下, 以删组交叉验证为准则, 证明了其渐近最优性, 并通过模拟研究表明, 该模型平均方法在估计效果上要优于其它一些传统的模型选择和平均方法.

Abstract

High-dimensional model selection and model average have received much attention in recent years. However, few investigation has been conducted for the high-dimensional longitudinal data. In this paper, a new model-averaging approach utilising the leave-subject-out cross-validation criterion is developed for high-dimensional longitudinal data model average. To minimize the prediction error, we estimate the model weights using a leave-subject-out cross-validation procedure. We further prove that leave-subject-out cross-validation achieves the lowest possible prediction loss asymptotically. In addition, extensive simulation studies show that the performance of the proposed model average method is much better than that of the commonly used methods.

关键词

模型平均 / 删组估计 / 高维纵向数据 / 渐近最优性.

引用本文

导出引用
陈心杰 , 赵志豪.  高维纵向数据的模型平均估计. 系统科学与数学, 2020, 40(7): 1297-1324. https://doi.org/10.12341/jssms13925
CHEN Xinjie , ZHAO Zhihao. Model Average for High-Dimensional Longitudinal Data. Journal of Systems Science and Mathematical Sciences, 2020, 40(7): 1297-1324 https://doi.org/10.12341/jssms13925
PDF(769 KB)

Accesses

Citation

Detail

段落导航
相关文章

/