Efficient variable selection in high-dimensional cancer genomic studies is critical for discovering genes associated with specific cancer types and for predicting response to treatment. Censored survival data is prevalent in such studies. In this article we introduce a Bayesian variable selection procedure that uses a mixture prior composed of a point mass at zero and an inverse moment prior in conjunction with the partial likelihood defined by the Cox proportional hazard model. The procedure is implemented in the R package BVSNLP, which supports parallel computing and uses a stochastic search method to explore the model space. Bayesian model averaging is used for prediction. The proposed algorithm provides better performance than other variable selection procedures in simulation studies and appears to provide more consistent variable selection when applied to actual genomic datasets.
"Bayesian variable selection for survival data using inverse moment priors." Ann. Appl. Stat. 14 (2) 809 - 828, June 2020. https://doi.org/10.1214/20-AOAS1325