Variable selection in elliptical linear mixed model

Gökalp Yavuz, Fulya
Arslan, Olcay
Variable selection in elliptical Linear Mixed Models (LMMs) with a shrinkage penalty function (SPF) is the main scope of this study. SPFs are applied for parameter estimation and variable selection simultaneously. The smoothly clipped absolute deviation penalty (SCAD) is one of the SPFs and it is adapted into the elliptical LMM in this study. The proposed idea is highly applicable to a variety of models which are set up with different distributions such as normal, student-t, Pearson VII, power exponential and so on. Simulation studies and real data example with one of the elliptical distributions show that if the variable selection is also a concern, it is worthwhile to carry on the variable selection and the parameter estimation simultaneously in the elliptical LMM.

Citation Formats
F. Gökalp Yavuz and O. Arslan, “Variable selection in elliptical linear mixed model,” JOURNAL OF APPLIED STATISTICS, vol. 47, no. 11, pp. 2025–2043, 2020, Accessed: 00, 2020. [Online]. Available: