Publications by authors named "Linquan Ma"

Article Synopsis
  • The paper focuses on improving the estimation of the central space crucial for sufficient dimension reduction (SDR), especially in the presence of collinear predictors.
  • The authors introduce a generalized envelope model, allowing for semiparametric estimation without strong distributional assumptions, enhancing flexibility in statistical analyses.
  • Their new methods, shown to be robust and accurate through simulations, suggest improvements in predictive capabilities, demonstrating practical applications in a heart failure study and potential synergy with machine learning techniques.
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Envelope method was recently proposed as a method to reduce the dimension of responses in multivariate regressions. However, when there exists missing data, the envelope method using the complete case observations may lead to biased and inefficient results. In this paper, we generalize the envelope estimation when the predictors and/or the responses are missing at random.

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When the primary outcome is difficult to collect, a surrogate endpoint is typically used as a substitute. It is possible that for every individual, the treatment has a positive effect on the surrogate, and the surrogate has a positive effect on the primary outcome, but for some individuals, the treatment has a negative effect on the primary outcome. For example, a treatment may be substantially effective in preventing the stroke for everyone, and lowering the risk of stroke is universally beneficial for life expectancy; however, the treatment may still cause death for some individuals.

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