统计研究 ›› 2007, Vol. 24 ›› Issue (4): 37-40.

• 论文 • 上一篇    下一篇

联合广义线性模型中的变量选择

王大荣 张忠占   

  1. 北京工业大学应用数理学院
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-04-15 发布日期:2007-04-15

Variable selection in joint generalized linear models

WANG Da-rong ; ZHANG Zhong-zhan   

  • Received:1900-01-01 Revised:1900-01-01 Online:2007-04-15 Published:2007-04-15

摘要: 在联合广义线性模型中,散度参数与均值都被赋予了广义线性模型的结构,本文主要考虑在只有分布的一阶矩和二阶矩指定的条件下,联合广义线性模型中均值部分的变量选择问题。本文采用广义拟似然函数,提出了新的模型选择准则(EAIC);该准则是Akaike信息准则的推广。论文通过模拟研究验证了该准则的效果。

关键词: Akaike信息准则, 模型选择, 广义线性模型, 广义拟似然

Abstract: In this paper we focus on variable selection and propose a new model selection criterion for joint generalized linear models with structured dispersions. Our proposal is based on the extended quasi-likelihood that only need to specify first two moments of the distribution. The new criterion (EAIC) is an extension of Akaike’s information criterion. Its performance is investigated through simulation studies, and the results support the utility of the methodology.

 

Key words: AIC, Model selection, Generalized linear models, Extended quasi-likelihood