This is the unspecified version of the paper.This version of the publication may differ from the final published version. Stimuli were auditory, vibrotactile, or both. The temporal profiles of vibrotactile stimuli were manipulated, producing three levels of TOJ precision. In bimodal conditions, the asynchrony between the two unimodal stimuli comprising a bimodal stimulus was also manipulated to determine the weight given to touch. Unimodal data were used to predict bimodal performance on two measures: judgment uncertainty and tactile weight. A model relying exclusively on audition was rejected based on both measures. A second model selecting the best input on each trial did not predict the reduced judgment uncertainty observed in bimodal trials. Only the optimal maximum-likelihood-estimation model predicted both judgment uncertainties and weights, extending its validity to TOJs. We discuss alternatives for modelling the process of event sequencing based on integrated multisensory inputs. Permanent repository link