Modeling Exposure-Lag-Response Associations with Penalized Piece-wise Exponential Models

Bender, A.; Scheipl, F. and Küchenhoff, H. (2016): Modeling Exposure-Lag-Response Associations with Penalized Piece-wise Exponential Models. Department of Statistics: Technical Reports, No.192

Abstract

We present a novel approach for the flexible modeling of exposure-lag-response associations, i.e., time-to-event data where multiple past exposures are cumulatively associated with the hazard after a certain temporal delay. Our method is based on piece-wise exponential models and allows estimation of a wide variety of effects, including potentially smooth and time-varying effects as well as cumulative effects with leads and lags, taking advantage of the advanced inference methods that have recently been developed for generalized additive mixed models.

• Item Type: Paper
• Keywords: Survival analysis, piece-wise exponential model, exposure-lag-response association
• Faculties: Mathematics, Computer Science and Statistics > Statistics > Technical Reports
• Subjects: 500 Science > 510 Mathematics
• Language: English