Adaptive LASSO for linear mixed model selection via profile log-likelihood

Juming Pan, Junfeng Shang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Mixed model selection is quite important in statistical literature. To assist the mixed model selection, we employ the adaptive LASSO penalized term to propose a two-stage selection procedure for the purpose of choosing both the random and fixed effects. In the first stage, we utilize the penalized restricted profile log-likelihood to choose the random effects; in the second stage, after the random effects are determined, we apply the penalized profile log-likelihood to select the fixed effects. In each stage, the Newton–Raphson algorithm is performed to complete the parameter estimation. We prove that the proposed procedure is consistent and possesses the oracle properties. The simulations and a real data application are conducted for demonstrating the effectiveness of the proposed selection procedure.

Original languageEnglish (US)
Pages (from-to)1882-1900
Number of pages19
JournalCommunications in Statistics - Theory and Methods
Issue number8
StatePublished - Apr 18 2018


  • Adaptive LASSO
  • Newton–Raphson algorithm
  • linear mixed models
  • mixed model selection
  • oracle properties


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