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

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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.