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  • 标题:A Two-Component $G$-Prior for Variable Selection
  • 本地全文:下载
  • 作者:Hongmei Zhang ; Xianzheng Huang ; Jianjun Gan
  • 期刊名称:Bayesian Analysis
  • 印刷版ISSN:1931-6690
  • 电子版ISSN:1936-0975
  • 出版年度:2016
  • 卷号:11
  • 期号:2
  • 页码:353-380
  • DOI:10.1214/15-BA953
  • 语种:English
  • 出版社:International Society for Bayesian Analysis
  • 摘要:We present a Bayesian variable selection method based on an extension of the Zellner’s g-prior in linear models. More specifically, we propose a two-component G-prior, wherein a tuning parameter, calibrated by use of pseudo-variables, is introduced to adjust the distance between the two components. We show that implementing the proposed prior in variable selection is more efficient than using the Zellner’s g-prior. Simulation results also indicate that models selected using the method with the two-component G-prior are generally more favorable with smaller losses compared to other methods considered in our work. The proposed method is further demonstrated using our motivating gene expression data from a lung disease study, and ozone data analyzed in earlier studies.
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