数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 428-436.

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对于Cox’s 比例风险模型基于自适应LASSO 的惩罚经验似然

  

  1. School of Mathematics, Liaoning Normal University

  • 收稿日期:2012-09-23 出版日期:2013-09-30 发布日期:2023-02-24
  • 作者简介:HOU Wen(1967-), male, native of Dalian, Liaoning, an associate professor of Liaoning Normal University, M.S.D., engages in applied probability and statistics.
  • 基金资助:
    Supported by the NNSF of China(11001114)

Penalized Empirical Likelihood Via Adaptive LASSO for Cox’s Proportional Hazards Model

  1. School of Mathematics, Liaoning Normal University

  • Received:2012-09-23 Online:2013-09-30 Published:2023-02-24
  • About author:HOU Wen(1967-), male, native of Dalian, Liaoning, an associate professor of Liaoning Normal University, M.S.D., engages in applied probability and statistics.
  • Supported by:
    Supported by the NNSF of China(11001114)

摘要: Penalized empirical likelihood inferential procedure is proposed for Cox’s proportional hazards model with adaptive LASSO(ALASSO).Under reasonable conditions, we show that the proposed method has oracle property and the limiting distribution of a penalized empirical likelihood ratio via ALASSO is a chi-square distributions. The advantage of penalized empirical likelihood is illustrated in testing hypothesis and constructing confidence sets by simulation studies and a real example.

关键词: Cox’s proportional hazards model; , empirical likelihood; , ALASSO, variable selection

Abstract: Penalized empirical likelihood inferential procedure is proposed for Cox’s proportional hazards model with adaptive LASSO(ALASSO).Under reasonable conditions, we show that the proposed method has oracle property and the limiting distribution of a penalized empirical likelihood ratio via ALASSO is a chi-square distributions. The advantage of penalized empirical likelihood is illustrated in testing hypothesis and constructing confidence sets by simulation studies and a real example.


Key words: Cox’s proportional hazards model; , empirical likelihood; , ALASSO, variable selection

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