Summary
Multitype recurrent events are commonly observed in transportation studies, since commercial truck drivers may encounter different types of safety critical events (SCEs) and take different lengths of onâduty breaks in a driving shift. Bayesian nonhomogeneous Poisson process models are a flexible approach to jointly model the intensity functions of the multitype recurrent events. For evaluating and comparing these models, the deviance information criterion (DIC) and the logarithm of the pseudoâmarginal likelihood (LPML) are studied and Monte Carlo methods are developed for computing these model assessment measures. We also propose a set of new concordance indices (Câindices) to evaluate various discrimination abilities of a Bayesian multitype recurrent event model. Specifically, the withinâevent Câindex quantifies adequacy of a given model in fitting the recurrent event data for each type, the betweenâevent Câindex provides an assessment of the model fit between two types of recurrent events, and the overall Câindex measures the model's discrimination ability among multiple types of recurrent events simultaneously. Moreover, we jointly model the incidence of SCEs and onâduty breaks with driving behaviors using a Bayesian Poisson process model with timeâvarying coefficients and timeâdependent covariates. An inâdepth analysis of a real dataset from the commercial truck driver naturalistic driving study is carried out to demonstrate the usefulness and applicability of the proposed methodology.