Article citationsMore>>

P. R. Xu, W. Fu and L. X. Zhu, “Shrinkage Estimation Analysis of Correlated Binary Data with a Diverging Number of Parameters,” Science China Mathematics, Vol. 56, No. 2, 2013, pp. 359-377. http://dx.doi.org/10.1007/s11425-012-4564-y

has been cited by the following article:

• TITLE: Automatic Variable Selection for High-Dimensional Linear Models with Longitudinal Data

  AUTHORS: Ruiqin Tian, Liugen Xue

  KEYWORDS: Variable Selection; Diverging Number of Parameters; Longitudinal Data; Quadratic Inference Functions; Generalized Estimating Equation

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.1, January 27, 2014

  ABSTRACT: High-dimensional longitudinal data arise frequently in biomedical and genomic research. It is important to select relevant covariates when the dimension of the parameters diverges as the sample size increases. We consider the problem of variable selection in high-dimensional linear models with longitudinal data. A new variable selection procedure is proposed using the smooth-threshold generalized estimating equation and quadratic inference functions (SGEE-QIF) to incorporate correlation information. The proposed procedure automatically eliminates inactive predictors by setting the corresponding parameters to be zero, and simultaneously estimates the nonzero regression coefficients by solving the SGEE-QIF. The proposed procedure avoids the convex optimization problem and is flexible and easy to implement. We establish the asymptotic properties in a high-dimensional framework where the number of covariates increases as the number of cluster increases. Extensive Monte Carlo simulation studies are conducted to examine the finite sample performance of the proposed variable selection procedure.