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非参数混合效应模型的估计

阙烨

重庆工商大学学报(自然科学版)2017,Vol.34Issue(1):10-13,4.
重庆工商大学学报(自然科学版)2017,Vol.34Issue(1):10-13,4.DOI:10.16055/j.issn.1672-058X.2017.0000.003

非参数混合效应模型的估计

The Esti mation for the Nonpara metric Mixed Effects Model

阙烨1

作者信息

  • 1. 南京理工大学 理学院,南京210094
  • 折叠

摘要

Abstract

The estimation methodology for the nonparametric mixed effects model is proposed.For this,we use the B-splines methods to estimate the function,and employ the penalized least square method to obtain the estimator of the random effects.Further,we construct the normal likelihood function to estimate the variance components.And we also prove the consistency of variance components and the asymptotic normality of the link function.A simulation study is carried out to show the estimation effect of our proposed methodology.It shows our proposed methodology performs well.Our algorithm is stable numerically.

关键词

非参数混合效应模型/B样条/惩罚最小二乘/正态似然函数

Key words

nonparametric mixed effects model/B-splines method/penalized least square method/normal likelihood function

分类

数理科学

引用本文复制引用

阙烨..非参数混合效应模型的估计[J].重庆工商大学学报(自然科学版),2017,34(1):10-13,4.

基金项目

江苏省自然科学基金(BK20131345). ()

重庆工商大学学报(自然科学版)

1672-058X

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